Module 5 Homework 1: Non-Calculator · Web viewThe first clock shows the time at the beginning of ... A shop sells clothes at half price in a sale ... how many tiles will be in

15

Homework 12 (Calculator allowed) Name:1) The pictogram shows information about weekly pocket money.

2 a) Complete each of the number sequences below

i) 4, 7, 10, ……… , 16 (1) ii) 1, 2, 4, ………. , 16 (1) iii) 90, 80, 70, ………. , 50 (1)

b) Complete the sequence by completing the fourth pattern in the series

(1)

3 a) Put these numbers in order, starting with the smallest:

17 23 18 54 36 ……….. ………. ……….. ……….. ………. (1)

b) Write down two numbers with a difference of 3 ……………………………………………………….. (1)

c) Write down two numbers with a sum of 17 …………………………………………………….... (1)

4 a) Write down the name of the 3D and 2D shape:

……………………………………………………………………………..

…………………………….. ………………………………….. (1) …………………………………………............................................... (1)

c) Decide whether each of the statements is never true, sometimes true, or always true. Tick () the grid.

(2)

5) The analogue clock shows the time in the morning. Write the time as it would appear on a digital clock.

…………………………………………………………….. (1)

© t.silvester 2014 Page 1

3

Alfie Ben Caitlin Daniela

Key: = £2

a) Complete the table to show the information in the pictogram (3)

Name Pocket money (£)Alfie 6Ben

Caitlin

Daniela

4

3

b) Describe the type of triangle shown. Explain how you know.

Nevertrue

Sometimes true

Always true

A triangle can have 2 right anglesA shape with 4 sides has 4 right angles

4

1

15

Homework 12 (Calculator allowed) Name:1) The square grid on the right is divided into quarters. a) Draw lines on the first square grid below to b) Draw lines on the square grid below divide it into quarters in a different way. To divide it into eighths.

(1) (1)

2)

3) In a cinema tickets are three different prices.

Normal Seats £ 8.00Recliners £12.00VIP Seats £19.00

b) Harrison buys two of each type of ticket and pays with two £50 notes. How much change does he get?

…………………………………………………………………………………………………………………………………………………….. (2)

4) Here is a list of some units of measure. a) Choose a word from the list to fill in the blanks in each sentence below. The mass of an apple is about 40 ………………………....... The volume of water in a bath is about 50 …………………….……. (2)

b) Choose one of the units from the list that has not been used and give an example of what it measures.

Use ……………………………….. to measure ………………………………………………………………………………………….. (1)

5) The table shows information about the Commonwealth Games

a) How many more countries took part in 1990 than in 1970?

…………………………………………………………………………………. (1)

b) 4 627 more competitors took part in 2010 than in 1990. The difference between the number of nations in 1970 and 2010 was 29. More countries took part in 2010 than in 1970, complete the table. (2)

6) A shop sells clothes at half price in a sale rounded up to the nearest penny. Fill in the blanks for each of the items of clothing.


2

The first clock shows the time at the beginning of a cricket match and the second clock at the end of the same cricket match. How long was the cricket match? ……………………………………………. (1)

Clock 1 Clock 2

1

a) How many ‘Normal’ Seats can be bought for £50?

…………………………………………………………………………………………………………..… (1)

3

Litres Metres Kilograms Millilitres Millimetres Grams

3

Number of nations

taking part

Country where the

games took place

Number of people taking

part

1970 42 Edinburgh 13831990 55 New Zealand 20732010

India

3

Old price:

………………………..

Sale price:

………………………..

Old price:

………………………..

Sale price:

………………………..

Old price:

………………………..

Sale price:

……………………….. 3

£ 7.88 £ 19.99

£ 19.27

15

Homework 12 (Calculator allowed) Name:

1) The bar chart shows data about the number of chess games won and lost over a 5 day period by a team. a) On which day was the difference between games won and lost the greatest?

……………………………………………… (1)

b) A team scores 2 points for every win, and -1 points for every loss. Work out the team’s total score. ………………………………………………………………… (2)

2) Circle all of the factors of 36 in the list of values: 3 5 6 7 10 12 (2)

3) Here is a sequence of tile patterns:

Pattern 1 Pattern 2 Pattern 3

4) A meal in a restaurant costs the same for each person. The total cost for 12 people is £331.20. Work out the cost for 11 people.

……………………………………………………………………………………………………………………………………………………………..

………………………………………………………………………………………………………………………………………………………. (2)

5) Arrange all of the numbers, 1, 2, 3, 4, and 5 so that the sum of the numbers in the first group is equal to half the sum of the numbers in the second group. There are 3 different ways to arrange the numbers. The first is done for you. First Group Second Group First Group Second Group First Group Second Group

6) Tom receives £40 pocket money each week He puts £20 into savings. He spends £10 on music. He uses £5 to buy snacks. He spends £5 on other things. Use this information to complete the pie chart with labels.

7) Fill in the boxes for each of the expressions shown

a) 6m + 5m – m = b) 4a + 2b + = 7a + 5b


3

MonTuesWed

ThursFri

0 1 2 3 4 5 6

Key: = games won = games lost

2

a) Altogether, how many tiles will be in pattern number 6?

………………………………………………………………………………………. (1)

b) Fill in the missing number:

The total number of tiles = …………. × the pattern number (1) 2

2

25 1, 2, 3, 4

2

2

15

Homework 12 (Calculator allowed) Name:(1) (1)

1) Two shops have special offers on the same chocolate bar. Shop 1: 5 chocolate bars for £3.25 Shop 2: 7 chocolate bars for £4.41 I want to buy 35 chocolate bars. Work out which shop is cheaper. Show your full working.

………………………………………………………………………………………………………………………………............................................

Answer: Shop 1 Shop 2

2) The diagram shows the positions of two towns, Town A and Town B. a) Measure accurately angle x …………………………………… o (1)

b) On the drawing the scale is 1 cm = 20 km What is the distance between Town A and Town B? ………………………. km (1) c) The distance between Town A and Town C is 55 km. The angle measured from North between A and C is 205o clockwise. Using the same scale as part b), mark the position of Town C on the diagram (2)

3) A bag contains 2 black counters and 3 white counters. Craig takes a counter at random from the bag.

a) Write down the probability of Craig choosing a black counter …………………………. (1)

b) Craig puts the counter back in the bag, then adds some more white counters to the bag. The probability that the next counter chosen will be white is now ¾. How many white counters did Craig add to the bag? ………………………………………………. (1)

4) Work out the number of boys and girls in each class below.

a) In 4A there are 24 students and twice as many boys as girls.

b) In 5S there are 22 students and 2 more girls than boys c) In 3T there are 7 boys. The ratio of boys to girls is 1 : 3

5) Use your calculator to work out the answers;

a) (37 + 45) × (83 – 47) ……………………………….. (1) b) 67+3659−23 ……………………………….. (1)

6 a) Here are 3 lines on a centimetre square grid. b) Draw 2 more lines on the second grid to Draw 2 more lines to make a pentagon with make a pentagon with an area of 22 cm2

an area of 14 cm2 (1) (1)


2

4

Town A

Town B

North

x

2

Number of boys Number of girls

Number of boys Number of girls

Number of boys Number of girls 3

2

2

15


1) Each year, there is a tennis competition in America and another in Australia. The table shows how much money was paid to the winner of the women’s competition in each country in 2006.

Tick () the country that paid more. America Australia (2)

2) Draw an enlargement of the rectangle by scale factor 2 using point A as the centre of enlargement.

(2)

3) Here is information about all the pupils in a class. One of the students is chosen at random.

a) What is the probability that the student chosen will be a boy? …………………………….. (1)

b) What is the probability that the student chosen has blue eyes? ……………………………….. (1)

c) The teacher chooses a brown-eyed pupil at random. What is the probability that the brown-eyed pupil is a girl? ……………………………………………… (1)

4) Here is a formula to find the area of a triangle. A triangle has sides, in cm, of 3, 7 and 8. Work out the area of this triangle.

…………………………………………………………………………………………………………………………………………………………………

……………………………………………………………………………………………………………………………………………cm2 (2)

5) I think of a number. I multiply this number by 5 then subtract 42. The result is three times the number that I was thinking of. Work out the number I was thinking of.

…………………………………………………………………………………………………………………………………………………… (2)

6) A spinner has the numbers 1 to 4 on it. The probability of spinning a number 4 is 0.2 and the probability of spinning a 1 is 0.3. The probability of spinning a number 2 is the same as the probability of spinning a number 3. Work out the probability of spinning a number 3.

………………………………………………….………………………………………………………………………………………………… (2)

7) From the information in the table, work out in which subject most of the students passed.

…………………………………………………………………………………………………................................


Country MoneyAmerica 900 000 US Dollars

(£1 = 1.56 US Dollars)Australia 1 400 000 Australian dollars

(£1 = 2.43 Australian dollars)

Which country paid more money? Show your working.

………………………………………………………………………………………….

…………………………………………………………………………………………

…………………………………………………………………………………………

2

2

A

Boys GirlsBlue eyes 2 8

Brown eyes 12 7

3

For a triangle with sides a, b and c

Area = √s (s−a ) ( s−b )(s−c ) where s=a+b+c2

2

2

2

English MathsNumber of students

7 500 6 800

% pass rate 74% 81%

2

15

Homework 12 (Calculator allowed) Name: ………………………………………………………………………………………………………. (2)

1) Fully simplify each of the expressions shown

a) 8 – 3a + 7a b) a2 + 3a + 5a c) 5a × 3a d) 8a2

2a

…………………………… (1) …………………………… (1) …………………………… (1) …………………………… (1)

2) For each equation shown, decide whether x = 13 is a solution. In each case, show how you know.

a) 9x + 3 = 185 – 5x yes no b) 5x3 = 10980 yes no

………………………………………………………………………. ……………………………………………………………………………..

…………………………………………………………………… (1) ………………………………………………………………….. (1)

3) In one week, Kevin completed 30 hours of revision. He revised for the same amount of time for the first four days of the week. On Friday, he revised for twice as long as on Monday. On both Saturday and Sunday he revised for three times as long as on Monday. How long did he spend revising on Saturday?

…………………………………………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………………………. (2)

4 a) The nth term of a sequence is 2n – 5. What is the 9th term of this sequence? ………………….…………………………………………………………………........... (1)

b) The nth term of a different sequence is given as n2−n2

Write the first 3 terms of this sequence. ………………. ……………… ……………… (2)

5) Multiply of the brackets in each of the expressions.

a) 2b (b – 3) b) (b + 1) (b – 1)

………………………………………………………………………. ……………………………………………………………………………..

………………………………………………………………………. ……………………………………………………………………………..

…………………………………………………………………… (1) ………………………………………………………………….. (1)

6) ABCD is a parallelogram Work out the sizes of angles x and y. Give reasons for your answers.


4

2

2

3

2

70o

85ox

y

x = ……………… o because …………………………………………………………….

……………………………………………………………………………………………………...

……………………………………………………………………………………………… (1)

y = ……………… o because …………………………………………………………….

……………………………………………………………………………………………………...

……………………………………………………………………………………… (1) 2

15


1) According to a recent survey about food consumption, if the world was a village of 100 people, 8 people would consume 64% of the total food consumed in a day. The other 92 would have the rest. On average, how many times as much food as one of the 92 people would 1 of these 8 people consume?

……………………………………………………………………………………………………………………………………………………………………..

……………………………………………………………………………………………………………………………………………………. (2)

2) The diagram shows two circles and a square, ABCD. A and B are the centres of the circles. The radius of each circle is 4 cm. Calculate the area of the shaded part of the square.

………………………………………………………………………………………………………….

………………………………………………………………………………………………………….

………………………………………………………………………………………………………….

……………………………………………………………………………………………………. (3)

3 a) Each side of a rectangle is increased by 20%. By what percentage is the area increased?

………………………………………………………………………………………………………………………………………………… % (2)

b) The length of a square is increased by 10% and the width is decreased by 10%. By what percentage is the area changed?

…………………………………………………………………………………………………………………………………..… % (2)

4) For each of the following diagrams, calculate the value of x and y. a) b)

……………………………………………………………………… ………………………………………………………………………….

……………………………………………………………………… ………………………………………………………………………….

x = …………………………… cm (2) y = …………………………… o (2)

5) The volume of an ellipsoid is given as; V = 43

πabc where a, b, c are radii

as shown in the diagram.

Work out the volume of the ellipsoid where a = 2, b = 3 and c = 5. Write your answer to 3 significant figures.

…………………………………………………………………………………………


Not drawn accurately

2

3

A

B

C

D4 cm

4 cm

4

12 cmx

30o

36 cm 28 cm

y

Not drawn accurately Not drawn accurately

4

2

ab

c

15

Homework 12 (Calculator allowed) Name: …………………………………………………………………………………….

………………………… cm3 (2)


Documents

Module 5 Homework 1: Non-Calculator · Web viewThe first clock shows the time at the beginning of ... A shop sells clothes at half price in a sale ... how many tiles will be in