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L3-5. Question 1. Three circles in a straight line ADD UP TO 100 Write in the missing numbers. 20. 4 0. 30. 4 0. L3-5. Question 2. Fred buys two A cards and 2 B cards, altogether how much did they cost? - PowerPoint PPT Presentation
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Question 1• Three circles in a straight line ADD UP TO 100• Write in the missing numbers
L3-5
20 40
40
30
Cost of Card
Cost
A £1.00B £1.50C £2.00D £2.50E £3.00
L3-5
Question 2a) Fred buys two A cards and 2
B cards, altogether how much did they cost?
b) Adam pays for one B, one D and one E card. He pays with a £10.00 note, how much change will he get?
c) Karen pays for two cards that cost exactly £3.50. Write the two possible combination of cards Karen buys.
L3-5
Question 3Copy the diagram and draw the ONE LINE OF SYMMETRY
Here is the same diagram after a QUARTER-TURN CLOCKWISE.Draw the diagram showing it after ANOTHER QUARTER-TURN CLOCKWISE
L3-5
Question 4
10m15m20m25m
OX
XX
X
X
X
X
X
The diagram shows the result of a game of bowls. The O indicates the centre of scoring ring.a)About how close is the closest X?b)How many bowls landed between 10m and 20m?c)About how much further is the closest bowl to the one furthest away?
Use the digits above to complete these calculations.
L3-5
Question 5A
• Now tries these. You can use the same card twice.
L3-5
Question 5B
0.6 metres 1.8 metres 2.9 metres 4 metres
1.5 metres 4.5 metres 11 metres 20 metres
L3-5
Question 6a) Which measurement
below is most likely to be the MAN’s height?
b) Which measurement below is most likely to be the HEIGHT of the BUS?
a) Sarah has one 20p coin, one £1 coin and some 10p coins. Altogether she has £1.50.–How many 10p coins does she have?
b) If she spends £1.15 what combination of coins could she use, and how much change would she get?
L3-5
Question 7
L3-5
Question 8Number of 20p coins
Number of 10p coins
Number of 5p coins.
FIRST WAY 3 1 4SECOND WAY 3THIRD WAY 3FOURTH WAY 3
Show the different ways to make 90p using 3 20p coins and 10p and 5p coins. The first has been done for you.
Question 9A sample of students were asked how they rated their maths teacher.a)What % rated them as Excellent?b)What % rated them as Fine AND Very Good?
L3-5
Excellent
GoodVery Good
OK
Fine
Question 10• Fill in the boxes to complete each number
chain. Use any of the following:
L3-5
3535035
350 25
Jane has a piece of card that is blue on one side and white on the other. She cuts out shape A from the card. She turns over the shape, select the letters that show the white side of Jane’s shape.
L3-5 & 4-6
Question 11A B
CD
__ __
-5 -2 5
Question 12Fill in the missing number
L3-5 & 4-6
+8
+5
2
Question 13L3-5 & 4-6
The area of shape A is 5cm2 what is the area of shape B?
How many squares will be in a shape which has an area 20cm2
Question 14• Fill in the missing digits in each calculation
L3-5 & 4-6
2 8 5 6 x 2 =
5 2 x 2 =
4 x 2 =
Question 15L3-5 & 4-6
• I arrived at 8:00am. By the time I left the MINUTE hand of the clock had TURNED 360°
What time did I leave?
• I left the house at 6:00pm, by the time I arrived back the HOUR hand at TURNED 90°
What time did I arrive back?
Question 16
A number chain starts 1 3 11
A) Here is a different number chain, what is the rule?
2 4 8 16
L3-5 & 4-6
x 4 then - 1
To find the next number you use the following rule:
Question 17• Join the pairs that add to 1
L3-5 & 4-6 & 5-7
0.25
0.01
0.6
0.86
0.9
0.1
0.14
0.99
0.75
0.4
Question 18• Join the pairs that multiply to equal 2
L3-5 & 4-6 & 5-7
1
0.5
0.1
0.25
0.05
4
8
40
2
20
Question 19• Sarah has 20 pairs of shoes.• Sarah takes a pair at randomA)What is the probability that
the pair of shoes is red?B)What is the probability that
the pair of shoes is not red?
L3-5 & 4-6 & 5-7
Colour Pairs
Black 5
White 2
Brown 4
Red 2
Blue 5
Pink 2
Question 20Amy has some water in jug A. She pours into Jug B, what is the correct water level?
L3-5 & 4-6 & 5-7
2
4
A
B
Question 21Lisa has some boxes that are all cubes of the same size.She uses 4 boxes to make a pile of height 56cm. She puts one more box on the pile, what is the height of the new pile?
L3-5 & 4-6 & 5-7
Where do you think Lisa works?
Question 22
a)Work out 5% of 200b)Work out 15% of 200– Can you use part(a) to
help you?
L3-5 & 4-6 & 5-7
Question 23• Write the numbers to
make them correct.
L3-5 & 4-6 & 5-7
1015 10
8 4
14 6
20
A
B
C
Question 24L3-5 & 4-6 & 5-7
x
y60°z
A
CB
Work out the angles x, y & z
Question 25L3-5 & 4-6 & 5-7
Question 264-6 & 5-7 & 6-8 3
Add 0
Add 4
Subtract 4
Subtract 0
Add -4
Subtract -4
Question 27
• Pupils are investigating what is a typical student’s (aged 11-16) favourite program. Here is their plan:
4-6 & 5-7 & 6-8
PLAN
Choose one year group, and ask one mentor group.
Give two reasons why this sample of student’s may not be representative of all students
Question 28
• The total area of the rectangle is 30cm2 work out the lengths of x and y.
4-6 & 5-7 & 6-8
y
x
3cm
7.1cm
Question 29a. The counters are
the same in each bag. Work out the value of y
4-6 & 5-7 & 6-8
B
B
b. Bag A contains more counters than Bag B. What is the smallest value for k?
Question 30
• You win a million pounds • You spend £40,000 on a holiday (you take a
few friends)• Then you spend half of the money left on a
house.• How much do you spend on a house?
4-6 & 5-7 & 6-8
Question 314-6 & 5-7 & 6-8
Which scatter graph shows a positive correlation?
Which scatter graph shows a stronger correlation?
EXPLAIN YOUR ANSWER
Question 324-6 & 5-7 & 6-8
Shape Number N
Base B Height H Area A
1 3 2 3
2 3 3 4.5
3 3 4 6
4 3 5 7.5
The table shows information about the shapes
Rules connect N, B, H and A. Write one missing letter to complete the rule
H = ______ + 1A = ______ x 1.5___ = H x B ÷ 2
Question 33
Use this information to write the missing DECIMALS below
4-6 & 5-7 & 6-8
• Look at this information:
Question 344-6 & 5-7 & 6-8
Question 35• On this bracelet the ratio of black beads to
white is 1:4
4-6 & 5-7 & 6-8
a) How many MORE black beads do you need to add to make the ratio of black to white 4:1?
b) How many MORE black and white beads do you need to add to make the ratio of black to white 4:2?
Question 365-7 & 6-8
Question 37
Question 38The number of goals scored is added to the previous match in a netball tournament. The graph shows the 6 matches played and the total goals scored after each match.a)How many goals were scored by match 3b)Another teams goals are plotted and it is a straight line. What can you say about this team?
5-7 & 6-8
Netball Matches Played
Goa
ls S
core
d
Question 39• The vertices of the
rhombus are at the midpoints of the sides of a rectangle.
5-7 & 6-8
8cm
4cm
• What is the area of the shaded rhombus?
Question 40
A) Philip thinks of two numbers. His two numbers have a NEGATIVE SUM, but a POSITIVE PRODUCT. Give an example of what his two numbers could be.
B) Tom thinks of two different numbers. His two numbers have a POSITIVE SUM, but a NEGATIVE PRODUCT. What could his numbers be?
5-7 & 6-8
Question 41
a. The mean of 4 numbers is 10. I added one more number and the mean is now 11. What number did I add?
b. The mean of 6 numbers is 20, I added one more number and the mean is now 21. What number did I add?
5-7 & 6-8
Question 425-7 & 6-8
Question 43
3a
5-7 & 6-8
Question 445-7 & 6-8
Question 45
a. I have two fair four sided dice, the numbers on the dice are 2, 3, 4 and 5. I am going to roll the dice and multiply the scores. What results might you get?
b. What is the probability that the product is a multiple of 2?
6-8
Question 46 6-8
Question 47 6-8
Question 48• In the diagram
triangle BDC is mathematically similar to triangle ACE. What is the length of BD?
6-8
9cm
3cm
4.5cm
Question 49
A cyclist went 2km up a hill at 20km per hour. She then went 2km down the hill at 30km per hour. •Show that her average speed for the 2km was 24km per hour.
6-8
Q Answer
1 40, 30, 30, 40
2 a) £5.00 b) £3.00 c) £1.50 + £2.00 & £1.00 + £2.50
3 a) Line of symmetry vertically down the middle b) Right way up T
4 a) About 3-4m b) 4 c) about 23m
5 Any combination which gives correct answer
6 a) 1.8 b) 4.5m
7 a) 3 b) £1.00, 10p & 10p or £1.00, 20p
8 2,2 3,0 0, 6
9 a) 50% b) 25%
10 a) x10 then ÷10 b) ÷10 then -10
11 B & C
12 +3 +7 then -3 & 5
Q Answer
13 a) 10 b) 16
14 a) 26 b) 24 & 48
15 a) 9:00am b) 9:00pm
16 a) X 2
17 0.01-099 0.6-0.4 0.86-0.14 0.9-0.1
18 0.5-4 0.1-20 0.1-20 0.25-8 0.05-40
19 a) 2/20 – 1/10 b) 18/20 – 9/10
20 1000ml
21 80cm
22 a) 10 b) 30
23 a) 5, 5, 25 b) 1, 9, 5 c) 4, 4, 10
24 X=90, y=30, z=30
25 A=7 b=2
Q Answer
26 a) Subtract -4 b) Add -4
27 Only looks at one specific age group and only one mentor group is represented
28 X=30 y=2.9
29 a) y=3 b) 10
30 £480,000
31 B & A
32 H=N+1, A=Nx1.5 A=HxB÷2
33 a) 0.68 b) 0.54
34 a) Ii b) iii
35 a) 15 b) Add 7 black beads
36 a) 64 – 16 = 48 b) 100
37 2+2 = 4
38 a) 45 b) Scored the same in every game