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N.E. LINCS. PRIMARY SCHOOLS’ MATHEMATICS CHALLENGE 2005. Semi-final questions and answers. N.E. LINCS. PRIMARY SCHOOLS’ MATHEMATICS CHALLENGE 2005 How to use the presentation. Each question is presented twice. - PowerPoint PPT Presentation
Citation preview
N.E. LINCS. PRIMARY SCHOOLS’
MATHEMATICS CHALLENGE 2005
N.E. LINCS. PRIMARY SCHOOLS’ MATHEMATICS
CHALLENGE 2005How to use the presentation
• Each question is presented twice.
• Slides with a red square in the top right corner are the tasks to be performed and are printable for child use.
• Click to select the duplicate slide to display the answer.
• A mouse will appear on the slide - click once
• The slide will then process the answer automatically and where appropriate present a strategy for solving the problem.
• When the process is complete a green arrow will appear.
• Click the green arrow and the slide will move to the next problem.
Printing slides for children’s use.
• Select the numbers of slides to be printed
• Select Ctrl P.
• Type slide numbers in the appropriate box.
• Suggest select:
Pure black and white
Frame slides
Scale to fit paper
• Select print what:
• Highlight number of slides per page, (handouts 2 slides per page) works well.
• Select number of copies.
• Click OK.
Which number will make this number sentence correct?
5 x 4 x ? = 140
Which number will make this number sentence correct?
5 x 4 x ? = 1405 x 4 x 7 = 140
Answer
Which numbers complete this sequence?
-13
3 19 27 35
Which numbers complete this sequence?
-13
3 19 27 35-5 11
The sequence is - add 8 to the previous number.
To discover the sequence you may have to work backwards and subtract 8.
Answer
What decimal fraction of this shape is shaded red?
What decimal fraction of this shape is shaded red?
Ans. 0.25
As a vulgar (ordinary) fraction the answer would be two-eighths or ¼. This is then changed into a
decimal.
Answer
Emily has three regular hexagons like the one below.
Each side is 5cm long.
She joins them to make a new shape.
What is the perimeter of her new shape?
Emily has three regular hexagons like the one below.
Each side is 5cm long.
She joins them to make a new shape.
What is the perimeter of her new shape?
70 cmThe answer may be found by counting round each line of the
shape in 5cm blocks.
OR
Each hexagon has a perimeter of 30cm. This makes 90 cm altogether. When they are joined 10cm of perimeter is hidden.
They are joined twice,
90cm - 20cm = 70cm.
10 cm hidden here
10 cm hidden here
Answer
Each shape stands for a number.Use the information to work out the value of
each shape.
=
=
=
x
-
÷ 8
2
36
Each shape stands for a number.Use the information to work out the value of
each shape.
=
=
=
x
-
÷ 8
2
366 6
648
4850
Answer
Find the four shapes hidden in the word search
CYLINDER KITE SPHERE RHOMBUS
R
H
R
R
E
K
P
V
T
E
H
H
M
I
F
G
Y
L
D
O
Z
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N
U
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N
J
T
H
C
O
M
B
S
I
L
Y
C
T
F
S
P
V
L
G
D
H
O
M
B
U
S
Y
J
L
H
R
Y
M
L
Y
C
S
H
K Q
S
K
P
H
H
O
E
P
R
X
EI
C
Y
L
I
N
D
E
R
K
I
T
S P H E R E
H
O
M
B
U
S
Find the four shapes hidden in the word search
CYLINDER KITE SPHERE RHOMBUS
R
H
R
R
E
K
P
V
T
E
H
H
M
I
F
G
Y
L
D
O
Z
E
I
T
N
U
M
N
J
T
H
C
O
M
B
S
I
L
Y
C
T
F
S
P
V
L
G
D
H
O
M
B
U
S
Y
J
L
H
R
Y
M
L
Y
C
S
H
K Q
S
K
P
H
H
O
E
P
R
X
EI
C
Y
L
I
N
D
E
R
K
I
T
S P H E R E
H
O
M
B
U
S
Answer
Which of the blue shapes below has the same area as the shape on the grid?
A
CD
B
E
Which of the blue shapes below has the same area as the shape on the grid?
A
CD
B
E
18
18
D
Answer
Which five consecutive even numbers add up to 30?
Which five consecutive even numbers add up to 30?
2, 4, 6, 8, 10
Answer
Estimate the size if this angle.N.b.this is a sketch of the original and may not be exact size if reproduced.
Estimate the size of this angle.
900
250
1150
Leeway 1100 to 1200
Answer
The recipe makes 6 Yorkshire puddings.Adjust it for 8 Yorkshire puddings
240 g Flour
3 Eggs
360 ml Water
120 ml Milk
The recipe makes 6 Yorkshire puddings.Adjust it for 8 Yorkshire puddings
240 g Flour
3 Eggs
360 ml Water
120 ml Milk
320 g Flour
4 Eggs
480 ml Water
160 ml Milk
Answer
Two extra people is one third of six people.
Find one third of each item and add it to the original amount.
A Calculate half of a quarter of 48.
B A train leaves the station at 12:35. It arrives after travelling for 100 minutes. What time does it arrive.
Answer in 24 hour clock.
C Jack receives £3.70 change from £10. He buys 2 items. One cost 50p. What did the other item cost?
A Calculate half of a quarter of 48.
B A train leaves the station at 12:35. It arrives after travelling for 100 minutes. What time does it arrive.
Answer in 24 hour clock.
C Jack receives £3.70 change from £10. He buys 2 items. One cost 50p. What did the other item cost?
6
14:15
£5.80Answer
Each cube weighs the same.The cylinder weighs 0.6 Kg.
What is the weight of 1 cube?
2Kg6Kg
Each cube weighs the same.The cylinder weighs 0.6 Kg.
What is the weight of 1 cube?
2Kg6Kg
800 grams
Total weight is 3Kg or 3000 g (on scale)
Cylinder weighs 600g (0.6 Kg)
Three cubes weigh 3 000g - 600g = 2 400 g altogether.
One cube weighs 800g
One cube weighs 2 400 g ÷ 3
800 grams
800 grams
Answer
TRUE OR FALSE?
All odd numbers are prime numbers.
All rectangles are quadrilaterals.
A litre of water weighs 1 Kilogram.
All 3-digit numbers are divisible by three without a remainder.
TRUE OR FALSE?
All odd numbers are prime numbers.
All rectangles are quadrilaterals.
A litre of water weighs 1 Kilogram.
All 3-digit numbers are divisible by three without a remainder.
FALSE
TRUE
FALSE
TRUE
Answer
Jack multiplies 24 by 15 on his calculator.He presses the wrong digits and gets the answer
495 on the display.What is the difference between the correct
answer and the one Jack sees on the calculator display?
Jack multiplies 24 by 15 on his calculator.He presses the wrong digits and gets the answer
495 on the display.What is the difference between the correct
answer and the one Jack sees on the calculator display?
495 - 360 = 135
24 x 15 = 360
Answer
Use the information given to put the heights of the five children in order starting with the
smallest child.
Tom is 8 cm smaller than Jack.
Jack is 2 cm taller than Ben.
Ben is 1.5 m tall.
Jack is 4 cm smaller than Emily.
Amy is 10 cm smaller than Ben.
Use the information given to put the heights of the five children in order starting with the
smallest child.
Tom is 8 cm smaller than Jack.
Jack is 2 cm taller than Ben.
Ben is 1.5 m tall.
Jack is 4 cm smaller than Emily.
Amy is 10 cm smaller than Ben.
AMY 140 cmTOM 144 cmBEN 150 cmJACK 152 cmEMILY 156 cm
Answer
HINT: Work in cm.
Both shapes are regular and have the same perimeter.
How long is one side of the triangle?
12 cm
Both shapes are regular and have the same perimeter.
How long is one side of the triangle?
12 cmPerimeter of
equilateral triangle is 60 cm.
1 side is 60 ÷ 3 = 20 cm.
Perimeter of regular pentagon is
5 x 12 cm = 60cm
Answer
The numbers in the pyramid are calculated by adding the two numbers immediately below.
Complete the pyramid.
2 3 11
16
The numbers in the pyramid are calculated by adding the two numbers immediately below.
Complete the pyramid.
2 3 11
16
13
15
14
31
30
61
Answer
Each cube has a surface area of 6 square units. The shape below is made from similar cubes
What is the total surface area of the new shape?
Each cube has a surface area of 6 square units. The shape below is made from similar cubes
What is the total surface area of the new shape?
18 square units.
Total surface area is 6 x 4 = 24.
Each join takes away 2 faces or 2 square units. There are three joins so the new area is 24 - 6 = 18 square units
2 square units hidden here
2 square units hidden here and
here
Answer
Or you could just count
It takes 3 of the middle container to fill the large one.
It takes six of the small one to fill the middle one.How many millilitres does the small container
hold?
450 ml
It takes 3 of the middle container to fill the large one.
It takes six of the small one to fill the middle one.How many millilitres does the small container
hold?
450 ml
÷3
÷6
150 ml
25 ml
Answer
Each line in the drawing adds up to 1000.Complete the boxes to make the target total for
each line.
550
375 250
150
Each line in the drawing adds up to 1000.Complete the boxes to make the target total for
each line.
550
375 250
150
375
475
75
Answer
Amy makes rectangular shapes by linking three similar rectangles.
How many rectangles can you count altogether in Amy’s drawing?
Amy makes rectangular shapes by linking three similar rectangles.
How many rectangles can you count altogether in Amy’s drawing?
11
3 2
24Answer
Below is an EQUATION
3n + 9 = 30
What does n equal?
Below is an EQUATION
3n + 9 = 30
What does n equal?
3n = 30 - 9
3n = 21
n = 7
Answer
A house is bought for £175 000.A year later the house is sold for 10% more than
it cost originally.
What is the new price?
A house is bought for £175 000.A year later the house is sold for 10% more than
it cost originally.
What is the new price?
10% 0f £175 000 is £17 500.
Add together £175 000 and £17 500.
New price £192 500.
Answer
The box is as wide as it is tall.
What is the volume of the box?
12 cm
5 cm
The box is as wide as it is tall.
What is the volume of the box?
12 cm
5 cm
5 cm
Volume = l x b x h
12cm x 5cm x 5cm = 300cm3
Answer
Ben says that a x a x a = a3
a3 = 125
What does a equal?
Ben says that a x a x a = a3
a3 = 125
What does a equal?
a = 5
5 x 5 x 5 = 125
Answer
The number completing this number sentence is the same for each box.
Which number completes the sentence?
175 = + 45 + 40 + +
The number completing this number sentence is the same for each box.
Which number completes the sentence?
175 = + 45 + 40 + +
30 30 30
Another 90 needs to be added to 45 + 40 to make 175.
As each box is the same amount the answer is 30
Answer
BONUS ROUND
All three questions must be answered correctly to score bonus points
A. Six similar sweets cost a total of £2.40.
How much does 1 sweet cost?
B. Two boxes weigh 100 g altogether.
One weighs 10 g more than the other.
How much does each box weigh?
C. How many minutes are there between 9:25 a.m. and 11:15 a.m.?
BONUS ROUND
All three questions must be answered correctly to score bonus points
A. Six similar sweets cost a total of £2.40.
How much does 1 sweet cost?
B. Two boxes weigh 100 g altogether.
One weighs 10 g more than the other.
How much does each box weigh?
C. How many minutes are there between 9:25 a.m. and 11:15 a.m.?
0.40p
55 g & 45
g
110 min.
Answer
Amy has some jumbled mathematical shapes.
Can you sort them out?
A. LY IN RED C
B. GO ON ACT
C. RING A TEL
Amy has some jumbled mathematical shapes.
Can you sort them out?
A. LY IN RED C
B. GO ON ACT
C. RING A TEL
CYLINDER
OCTAGON
TRIANGLE
Answer
Draw any two lines of symmetry on the shape below
Draw any two lines of symmetry on the shape below
Answer
What percentage of this shape is not shaded red?
What percentage of this shape is not shaded red?
15 squares out of 20 are not red.
This is ¾ of the shape = 75%
25% of the squares are red.
100% - 25% = 75% not red
Answer
Estimate the length of a given curved line in mm.
[There is a leeway for the answer]
Estimate the length of a given curved line in mm.
[There is a leeway for the answer]
A line of this configuration was
given.
The answer was between 140 and 160
mm.
Answer
Which two decimal fractions are shown on the number line?
2.0 4.0
A B
Which two decimal fractions are shown on the number line?
2.0 4.0
A B
A = 1.7 B = 3.4
Answer
How many cubes are needed to build this shape?
(Look and think carefully)
How many cubes are needed to build this shape?
(Look and think carefully)
14 cubesThe arrows show where hidden cubes must be placed to
make the shape stand up.
Answer
Emily uses five digit cards.She makes the smallest 3-digit odd number and
makes a note of it.She then makes the largest 3-digit even number.
She subtracts her two answers.What is her result?
983 7 4
Emily uses five digit cards.She makes the smallest 3-digit odd number and
makes a note of it.She then makes the largest 3-digit even number.
She subtracts her two answers.What is her result?
983 7 4
3 74
9 8 4
SMALLEST 3-DIGIT ODD NUMBER
LARGEST 3-DIGIT EVEN
NUMBER
9 8 4
3 74-
3 76Answer
The coins show Jack’s change from £10. Which item did he buy?
£5.45 £4.45£6.45 £4.55£4.65
The coins show Jack’s change from £10. Which item did he buy?
£5.45 £4.45£6.45 £4.55£4.65
The money totals £5.45.
The plant at £4.55 added to the change gives Jack’s original total of £10
Answer
The vertical lines of the square pass through the centres of the circles.
The radius of each circle is 5.5 cm.What is the perimeter of the square?
The vertical lines of the square pass through the centres of the circles.
The radius of each circle is 5.5 cm.What is the perimeter of the square?
The radius of the circle is 5.5 cm
The diameter of the circle is 11 cmThe sides of the square and the diameter are the same length = 11 cm
11 cm
4 x 11 cm = 44 cm
Answer
The advert shows holiday prices to Costa Packet.
COSTA PACKETThe ideal
family holiday
14 Nights at the Hotel Fawlty
Half board
Under 16’s 50% reduction.
Under fives go for £20
£240pp
Mr. and Mrs. Smith take grandma, baby Jake [3 years old] and Lucy [15 years old]
on holiday.
How much does the holiday cost altogether?
The advert shows holiday prices to Costa Packet.
COSTA PACKETThe ideal
family holiday
14 Nights at the Hotel Fawlty
Half board
Under 16’s 50% reduction.
Under fives go for £20
£240pp
Mr. and Mrs. Smith take grandma, baby Jake [3 years old] and Lucy [15 years old]
on holiday.
How much does the holiday cost altogether?
£890
Answer
The graph shows how a number of children travel to school
2 CHILDREN
A. How many more children walked than came by bus?
B. 60 children took part in the survey. How many came to school on a bicycle?
WALK
CAR
BICYCLE
TAXI
BUS
The graph shows how a number of children travel to school
2 CHILDREN
A. How many more children walked than came by bus?
B. 60 children took part in the survey. How many came to school on a bicycle?
WALK
CAR
BICYCLE
TAXI
BUS
21
8
21 - 8 = 13
60 - 47 = 13
15
3
Answer
40% 0f a number is 60.
What is the number?
40% 0f a number is 60.
What is the number?
If 40% is 60 then 10% of the number is 60 ÷ 4 = 15.
100% is 10 x 15 = 150100% is [2 x 40%] + 20%.
2 x 40% = 120
20% of the number is 30
The number is 120 + 30 = 150
Answer
a
BONUS ROUND - All three questions must be answered correctly.
The triangle is equilateral. Calculate angle a
Each square on the grid represents 1cm2. What is the area of the shape drawn on the grid?
The area of the large square is 36cm2.
What is the area of the blue square?
a
BONUS ROUND - All three questions must be answered correctly.
The triangle is equilateral. Calculate angle a
Each square on the grid represents 1cm2. What is the area of the shape drawn on the grid?
The area of the large square is 36cm2.
What is the area of the blue square?
14cm2
9cm2
180o - 60o = 1200
Answer
Jack’s parents’ car weighs 1.2 tonnes
Jack’s bicycle weighs 24 000 grams.
What is the weight of the car and bicycle altogether in Kilograms?
Jack’s parents’ car weighs 1.2 tonnes.
Jack’s bicycle weighs 24 000 grams.
What is the weight of the car and bicycle altogether in Kilograms?
1 200 Kg
24 Kg
1 2 24 Kg
Answer
Ben thinks of two numbers.
Their total is 5000.
Number A is 1200 smaller than number B.
What is the value of each number?
Ben thinks of two numbers.
Their total is 5000.
Number A is 1200 smaller than number B.
What is the value of each number?
Number A is 1900 number B is 3100
Answer
Both shapes below are regular and have the same perimeter.
The length of one side of shape B is 120 cm.
What is the length of one side of shape A?
A B
Both shapes below are regular and have the same perimeter.
The length of one side of shape B is 120 cm.
What is the length of one side of shape A?A B
480 cm ÷ 5 = 96 cm
Perimeter 480cm
( 4 x 120cm)
Answer
The chart shows the cost of making telephone call.
Listeners Telephone Co.Charges
Standing Charge £25Local calls 5p per minuteNational calls 20p per minute Emily’s phone bill is £53.
She makes 110 minutes of national calls.
How many minutes of local calls did she make?
The chart shows the cost of making telephone call.
Listeners Telephone Co.Charges
Standing Charge £25Local calls 5p per minuteNational calls 20p per minute Emily’s phone bill is £53.
She makes 110 minutes of national calls.
How many minutes of local calls did she make?
120 minutesAnswer
King’s Park Rovers win a home football match 2-1.
What are the possible half-time scores at the game?
King’s Park Rovers win a home football match 2-1.
What are the possible half-time scores at the game?
0-0
1-0
2-0
2-1
1-1
0-1
Answer
Emily earns 50p one day.The next day she earns £1.
Her wages double each day from the day before.How much does she earn altogether in eight
consecutive days?
Emily earns 50p one day.The next day she earns £1.
Her wages double each day from the day before.How much does she earn altogether in eight
consecutive days?
Day 1 50p
Day 2 £ 1
Day 3 £ 2
Day 4 £ 4
Day 5 £ 8
Day 6 £16
Day 7 £32
Day 8 £64
£127.50
Answer
The drawing shows a string belt around two circular drums.
The circumference of drum A is 60 cm.
The circumference of drum B is half as much again as drum A.
Using all the information available calculate how much string isused for the belt.
A B
55 cm
The drawing shows a string belt around two circular drums.
The circumference of drum A is 60 cm.
The circumference of drum B is half as much again as drum A.
Using all the information available calculate how much string isused for the belt.
A B
55 cm
185 cmAnswer
30cm 45cm
55cm
N.E. LINCSPRIMARY SCHOOLS’
MATHEMATICS CHALLENGE 2005
N.E. LINCS. PRIMARY SCHOOLS’ MATHEMATICS
CHALLENGE 2005How to use the presentation
• Each question is presented twice.
• Slides with a red square in the top right corner are the tasks to be performed and are printable for child use.
• Click to the duplicate slide to display the answer.
• A mouse will appear on the slide - click once
• The slide will then process the answer automatically and where appropriate present a strategy for solving the problem.
• When the process is complete a green arrow will appear.
• Click the green arrow and the slide will move to the next problem.
Printing slides for children’s use.
• Select the numbers of slides to be printed
• Select Ctrl P.
• Type slide numbers in the appropriate box.
• Suggest select:
Pure black and white
Frame slides
Scale to fit paper
• Select print what:
• Highlight number of slides per page, (handouts 2 slides per page) works well.
• Select number of copies.
• Click OK.
Which three numbers from this list make 200 when added together?
99 61 80 21 39
Which three numbers from this list make 200 when added together?
99 61 80 21 39
Which three numbers from this list make 200 when added together?
99 61 80 21 39
Which three numbers from this list make 200 when added together?
99 61 80 21 39
Answer
The local zoo receives a delivery of tropical spiders and snakes.They are all in the same box.
The zoo keeper counts 64 legs and 23 heads.
How many snakes are there?
The local zoo receives a delivery of tropical spiders and snakes.They are all in the same box.
The zoo keeper counts 64 legs and 23 heads.
How many snakes are there?15 SNAKES [23 - 8
= 15]
[The 64 legs belong to 8 spiders because it is very difficult to count snakes ‘legs’]
Answer
Three of the five drawings below show nets of aclosed cube.
The other two do not.Which of the three nets will make a cube?
A B
C
DE
A B
C
DE
Three of the five drawings below show nets of aclosed cube.
The other two do not.Which of the three nets will make a cube?
Answer
x 30
6005 30
Complete the grid and write the answer to the calculation
x 30
6005 30
6
12015
0
20
Complete the grid and write the answer to the calculation
36 x 25 = 900
Answer
BONUS ROUND.
Answer all the three questions correctly in any one try.
1. Emily has 30p left after spending 45p. Tom has four 10p coinsleft after spending 50p. How much did they start withaltogether?
2. Which 2 numbers come next in this sequence?
27 24 20 15 ? ?
3. Jody is 1m 25cm tall. How many millimeters is this?
BONUS ROUND.
Answer all the three questions correctly in any one try.
1. Emily has 30p left after spending 45p. Tom has four 10p coinsleft after spending 50p. How much did they start withaltogether?
2. Which 2 numbers come next in this sequence?
27 24 20 15 ? ?
3. Jody is 1m 25cm tall. How many millimeters is this?
165p or £1.65
9 2
1250 mm
Answer
-3 -4 -5 -6 -7
The scale shows the total weight of three parcels.Parcel C weighs twice as much as parcel A.
What are the individual weights of parcels A and C?
1Kg
3Kg
A C1200g
The scale shows the total weight of three parcels.Parcel C weighs twice as much as parcel A.
What are the individual weights of parcels A and C?
1Kg
3Kg
A C1200g
800g 1600g
Answer
This is a pattern of counters in a long line.Two black, four white and so on.
A. What colour will the 38th counter be?
B. What position will the 15th white counter be in the whole line?
This is a pattern of counters in a long line.Two black, four white and so on.
A. What colour will the 38th counter be?
B. What position will the 15th white counter be in the whole line?
23rd in line
Answer
The sketch map shows the road leading to the local school.
Amy lives 345 metres away from the school gates.Ben’s house is 95 metres closer to the school gates than Amy’s
house.Ben’s house is 235 metres from Tom’s house.How far apart are Amy’s and Ben’s houses?
Ben’shouse
Amy’shouse
School
Church Tom’shouse
The sketch map shows the road leading to the local school.
Amy lives 345 metres away from the school gates.Ben’s house is 95 metres closer to the school gates than Amy’s
house.Ben’s house is 235 metres from Tom’s house.How far apart are Amy’s and Ben’s houses?
Ben’shouse
Amy’shouse
School
Church Tom’shouse
595 m
345m
250m
Answer
How many right angles are there in the drawingbelow?
How many right angles are there in the drawingbelow?
16
Answer
Which of the sketches below reflects this shape in the dotted mirror line?
A B C D E F
Which of the sketches below reflects this shape in the dotted mirror line?
A B C D E FE
Answer
Below is a number grid.
Look at each pair of corner numbers in turn and subtract one from the other.
Write your answers in the box below.All answers are positive integers.
9 1 8 4
12
2 3 15
16
7 11
6
18
20
5 10
Below is a number grid.
Look at each pair of corner numbers in turn and subtract one from the other.
Write your answers in the box below.All answers are positive integers.
9 1 8 4
12
2 3 15
16
7 11
6
18
20
5 10
5, 6, 8, 9, 14, 1
Answer
The area of the square is 121 cm2
The dotted triangle is equilateral.
What is the perimeter of the triangle?
The area of the square is 121 cm2
The dotted triangle is equilateral.
What is the perimeter of the triangle?
Perimeter = 33 cm
11 cm11 cm
Answer
The dotted lines show how Emily ties a parcel up with string.
If she uses an extra 35 cm for tying the parcel how much string doesshe use altogether?
15 cm
15 cm
45 cm
The dotted lines show how Emily ties a parcel up with string.
If she uses an extra 35 cm for tying the parcel how much string doesshe use altogether?
15 cm
15 cm
45 cm 215 cm
Answer
0
100
200
300 The graph shows the
number of tyres sold at a garage over six
days.
Mon
Tue
Wed
Thurs
Fri Sat
A. How many more tyres were sold on Monday than Tuesday?
B. On Wednesday, Thursday and Friday 475 tyres were sold altogether. How many tyres were sold on Thursday?
C. A tyre costs on average £40. What was the value of tyres sold on Friday altogether?
0
100
200
300 The graph shows the
number of tyres sold at a garage over six
days.
Mon
Tue
Wed
Thurs
Fri Sat
A. How many more tyres were sold on Monday than Tuesday?
B. On Wednesday, Thursday and Friday 475 tyres were sold altogether. How many tyres were sold on Thursday?
C. A tyre costs on average £40. What was the value of tyres sold on Friday altogether?
50
125
£4 000
Answer
The mathematical words below are only half shown.Work out which words are shown and write them in the answer box.
D I A G O N A L
P A R A L L E L
F R A C T I O N
The mathematical words below are only half shown.Work out which words are shown and write them in the answer box.
D I A G O N A L
P A R A L L E L
F R A C T I O N
D I A G O N A L
P A R A L L E L
F R A C T I O N
Answer
Jack has two shelves each 120 cm long.
Each book is 3.0 cm wide.
The bottom shelf is full.
The top shelf has nine books on it.
How many books are on the two shelvesaltogether?
Jack has two shelves each 120 cm long.
Each book is 3.0 cm wide.
The bottom shelf is full.
The top shelf has nine books on it.
How many books are on the two shelvesaltogether?
49 books
Answer
The gauge shows petrol in a car’s fuel tank.
The tank is ¾ full.The car travels 8 Km on every litre of fuel.
How much fuel is left in the tank after a journey of 76Km?
Petrol in litres
60 L
0 L
E F
The gauge shows petrol in a car’s fuel tank.
The tank is ¾ full.The car travels 8 Km on every litre of fuel.
How much fuel is left in the tank after a journey of 76Km?
Petrol in litres
60 L
0 L
E F
A journey of 76Km use 9.5 Litres of fuel.
¾ of the tank is 45 Litres of fuel
45 L - 9.5L = 35.5L
Answer
Amy has two bars of chocolate like the one below.Amy, Jack and Ben eat all the chocolate.
Amy gives Ben one third of the chocolate.Jack eats 4 more squares than Amy.
How many squares of chocolate does each child eat?
C CCC C C
C CCC C C
Amy has two bars of chocolate like the one below.Amy, Jack and Ben eat all the chocolate.
Amy gives Ben one third of the chocolate.Jack eats 4 more squares than Amy.
How many squares of chocolate does each child eat?
C CCC C C
C CCC C C
Ben eats 8 pieces, Amy eats 6 pieces, Jack eats 10 pieces
Answer
Amy, Ben, Jack and Emily each round a three digit number tothe nearest hundred.
They all have the same answer of 400.Which of the four numbers from the list below could they have
chosen?
451 374 344 1399 489
401 349 466 351 3420
333 2400 444 501 299
451 374 344 1399 489
401 349 466 351 3420
333 2400 444 501 299
Amy, Ben, Jack and Emily each round a three digit number tothe nearest hundred.
They all have the same answer of 400.Which of the four numbers from the list below could they have
chosen?
Answer
True or false.
Three of these statements are true.Underline the correct statements.
A. An isosceles triangle has two equal angles.
B. The sum of the digits of all four-digit numbers is always even.
C. All rectangles have four lines of symmetry.
D. A cone has a circular base.
E. The prefix HEX means six.
F. All prime numbers are greater than 2.
True or false.
Three of these statements are true.Underline the correct statements.
A. An isosceles triangle has two equal angles.
B. The sum of the digits of all four-digit numbers is always even.
C. All rectangles have four lines of symmetry.
D. A cone has a circular base.
E. The prefix HEX means six.
F. All prime numbers are greater than 2.
Answer
Change this fraction into a decimal number.
58
Change this fraction into a decimal number.
58
5 ÷ 8 = 0.625
Answer
Ben bought a new car in 2003.
It cost £12 800.
He sold it after 2 years at 15% less than he paid for it.
What price did he sell the car for?
Ben bought a new car in 2003.
It cost £12 800.
He sold it after 2 years at 15% less than he paid for it.
What price did he sell the car for?
10% of £12 800 = £1 280
5% of £12 800 = £640
15% of £12 800 = £1 920
Selling price = £12 800 - £1 920 = £10 880
Answer
How many minutes are there in 240 hours?
How many minutes are there in 240 hours?
24 x 60 = 1 440 min [24 hours]
1440 x 10 = 14 440 min [240 hours]
Answer
Each line of numbers adds up to 100.
Which three numbers are missing?
Write your answers in the answer boxes.
36 28
52
29
Each line of numbers adds up to 100.
Which three numbers are missing?
Write your answers in the answer boxes.
36 28
52
29
13
51 20
Answer
Amy is investigating which shapes will tessellate [fittogether] like the regular hexagons below.
She finds that some will tessellate on their own and othersneed another shape to complete the pattern
Amy has some regular octagons and finds that she needsanother shape to fit into a pattern.
Which other shape does she need?
Amy is investigating which shapes will tessellate [fittogether] like the regular hexagons below.
She finds that some will tessellate on their own and othersneed another shape to complete the pattern
Amy has some regular octagons and finds that she needsanother shape to fit into a pattern.
Which other shape does she need?
Square
Answer
Jack has a number pyramid.
The numbers above are found by multiplying thetwo numbers immediately below.
Which numbers does Jack need to complete hispyramid?
1 2 2 3
8
Jack has a number pyramid.
The numbers above are found by multiplying thetwo numbers immediately below.
Which numbers does Jack need to complete hispyramid?
1 2 2 3
8
2 4 6
24
192
Answer
Ben has two fractions on a number line shown by thearrows.
He adds the two fractions together.What is his answer?
1 4
Ben has two fractions on a number line shown by thearrows.
He adds the two fractions together.What is his answer?
1 4
1 34
5
1
5
14
5 31
5+ = 5
Answer
E m i l y g o e s s h o p p i n g w i t h £ 2 0 .
W h e n s h e h a s fi n i s h e d s h e h a s £ 8 . 4 5 l e f t .
S h e b u y s tw o i t e m s f r o m th e s e l e c t i o n b e l o w . W h i c h t w o d i ds h e b u y ?
£ 8 . 4 5
£ 2 . 3 0£ 1 1 . 5 5 £ 9 . 2 5
£ 6 . 1 5
E m i l y g o e s s h o p p i n g w i t h £ 2 0 .
W h e n s h e h a s fi n i s h e d s h e h a s £ 8 . 4 5 l e f t .
S h e b u y s tw o i t e m s f r o m th e s e l e c t i o n b e l o w . W h i c h t w o d i ds h e b u y ?
£ 8 . 4 5
£ 2 . 3 0£ 1 1 . 5 5 £ 9 . 2 5
£ 6 . 1 5
Emily spends £20 - £8.45 = £11.55
Answer
Draw a rectangle on the grid that has an area of18 square units and a perimeter of 18 units.
Draw a rectangle on the grid that has an area of18 square units and a perimeter of 18 units.
Any 6 x 3 rectangle [oblong] in any orientation
18units2
Perimeter 18 units
Answer
The sum of the digits of the number 15 is 6.
Find all the other 2-digit numbers that have adigit total of 6.
[Hint; there are less than you possibly think and there is apattern.]
The sum of the digits of the number 15 is 6.
Find all the other 2-digit numbers that have adigit total of 6.
15, 24, 33, 42, 51, 6015, 24, 33, 42, 51, 60
Answer
The opposite faces on a 1 to 6 dice add up to7.
The net below will fold to make a die (dice).
Write in the missing numbers in their correctplace on the net.
6 2
4
The opposite faces on a 1 to 6 dice add up to 7.
The net below will fold to make a dice.
Write in the missing numbers in their correctplace on the net.
6 2
4
3
1 5
Answer
Amy is cutting squares from sheets of paper.Some are shown in red.
The incomplete drawing will help you to calculate how manysquares might be cut from one whole sheet with nothing left
over.Amy has 15 sheets.
How many squares of paper will she have altogether?
Amy is cutting squares from sheets of paper.Some are shown in red.
The incomplete drawing will help you to calculate how manysquares might be cut from one whole sheet with nothing left
over.Amy has 15 sheets.
How many squares of paper will she have altogether?
Complete one vertical and horizontal line to help youThe grid is 5 x 9
She can cut 45 squares from one sheet.
From 15 sheets she will cut
45 x 15 = 675 squares
Answer
Ben is playing golf.
He is playing the par 4 third hole, a distance of 348metres.
His first shot travels 163 m, his second 119 m and hisfourth shot a putt is 8m.
What was the length of his third shot?
348m - [163m + 119m + 8m]
348m - 290m = 58m
Ben is playing golf.
He is playing the par 4 third hole, a distance of 348metres.
His first shot travels 163 m, his second 119 m and hisfourth shot a putt is 8m.
What was the length of his third shot?
Answer
A. 250 people attend a concert. They each pay £10.50 for aticket. How much is this altogether?
B. How many 100gram bars of chocolate can be made from4.5 Kg of chocolate?
C. Calculate angle a.850 a
A. 250 people attend a concert. They each pay £10.50 for aticket. How much is this altogether?
B. How many 100gram bars of chocolate can be made from4.5 Kg of chocolate?
C. Calculate angle a.850 a
£2 625
45 bars
1800 - 850 = 950
Answer
Emily has a recording tape that lasts for 3 hours.
She records two programmes and has 1¼ hours lefton the tape.
One programme lasts for 50 minutes.
How long was the second programme?
Emily has a recording tape that lasts for 3 hours.
She records two programmes and has 1¼ hours lefton the tape.
One programme lasts for 50 minutes.
How long was the second programme?
Two programmes last 180min. - 75min. = 105min.
The second programme lasts
105min - 50min, = 55min.
Answer
The lock to Jack’s briefcase has a combination of 3 digits.
The tens digit is greater than 7.
He units digit is odd and less than 5.
The hundreds digit is an even prime number.
What are the possible combinations for his lock?
The lock to Jack’s briefcase has a combination of 3 digits.
The tens digit is greater than 7.
He units digit is odd and less than 5.
The hundreds digit is an even prime number.
What are the possible combinations for his lock?
271, 273, 281, 283
Answer
The drawing shows squares inside squares.The area of the middle square is 3cm2.
What is the area of the outermost square?
The drawing shows squares inside squares.The area of the middle square is 3cm2.
What is the area of the outermost square?
The outer squares are double the area of the
one inside
3cm2
6cm212cm224cm248cm2
Answer
A sequence of shapes makes this pattern.
Number of
squares
Number of
circles
1 3
2 5
3 7
How many squares will there be in a pattern that has 25 circles?
A sequence of shapes makes this pattern.
Number of
squares
Number of
circles
1 3
2 5
3 7
How many squares will there be in a pattern that has 25 circles?
The pattern is - number of squares equals the number of circles subtract one then halve your answer.
25 - 1 = 24
Half of 24 is 12 squares
Answer
In a code the letters of the alphabet are represented by numbers.
A is 26, B is 25, C is 24 ………………… Y is 2 and Z is 1
Which mathematical words are shown by these combinations ofnumbers?
11
2 9 26
14
18
23
8 24
26
15
22
13
22
11
9 12
23
6 24
7
In a code the letters of the alphabet are represented by numbers.
A is 26, B is 25, C is 24 ………………… Y is 2 and Z is 1
Which mathematical words are shown by these combinations ofnumbers?
11
2 9 26
14
18
23
8 24
26
15
22
13
22
11
9 12
23
6 24
7
P Y R A M I D
S C A L E N E
P R O D U C T
Answer
The yellow rectangle has a perimeter of 30 cm.
What is the area of the blue square?
10 cm
The yellow rectangle has a perimeter of 30 cm.
What is the area of the blue square?
10 cm
The square and rectangle have a common side 5cm long
The area of the square is 5cm x 5cm = 25cm2
5cm
Answer
The difference between two positive numbers is350.
One number is a quarter of 800.
What are the two numbers?
The difference between two positive numbers is350.
One number is a quarter of 800.
What are the two numbers?
One number is 800 ÷ 4 = 200.
The other number is 350 more than this number.
The two numbers are 550 and 200
Answer
Books in a library are arranged by the Dewey system ofdecimal numbers. E.g. book 256.231 comes before book
361.087.
There are six books below. Put them in order as they might beon a shelf starting with the lowest number.
Book A
852.259
Book B
825.955
Book C
582.529
Book D
852.529
Book E
825.928
Book F
851.016
Books in a library are arranged by the Dewey system ofdecimal numbers. E.g. book 256.231 comes before book
361.087.
There are six books below. Put them in order as they might beon a shelf starting with the lowest number.
Book A
852.259
Book B
825.955
Book C
582.529
Book D
852.529
Book E
825.928
Book F
851.016
C E B F A D
Book C
582.529
Book E
825.928
Book B
825.955
Book F
851.016
Book A
852.259
Book D
852.529
Answer
Amy and Jack are both saving for a digital camera costing £175.
Amy has saved £97 and Ben has saved £108.
How much more do they each have to save?
£175
Amy and Jack are both saving for a digital camera costing £175.
Amy has saved £97 and Ben has saved £108.
How much more do they each have to save?
£175
Amy needs £175 - £97 = £78
Ben needs £175 - £108 = £67
Answer
Draw the reflection of this shape accurately in the mirror line
Draw the reflection of this shape accurately in the mirror line
Answer
What is the value of ‘n’ in this number statement?
5n + 6 = 66
What is the value of ‘n’ in this number statement?
5n + 6 = 66
5n = 66 - 6
5n = 60
n = 60 ÷ 5 = 12
Answer
The range of a set of numbers is 45.9
The largest number in the set is 98.4.
What is the smallest number in the set?
The range of a set of numbers is 45.9
The largest number in the set is 98.4.
What is the smallest number in the set?
The smallest number is 45.9 less than 98.4.
98.4 - 45.9 = 52.5
52.5 98.4
Answer
What fraction of the square is shadedred?
Give your answer in lowest terms.
What fraction of the square is shadedred?
Give your answer in lowest terms.
One-eighth
Two-sixteenths = one eighth
Answer
420
ARSENAL
MAN. UTD.
EVERTON
CHELSEA
LIVERPOOL
The chart shows how many children support the top 5 Premiership football teams 2005
15 children supported Arsenal. How many supported Chelsea?
420
ARSENAL
MAN. UTD.
EVERTON
CHELSEA
LIVERPOOL
The chart shows how many children support the top 5 Premiership football teams 2005
15 children supported Arsenal. How many supported Chelsea?
7 children 15 children = 900
1 child = 60
So 420 = 7 childrenAnswer