About how many metres higher is the diver than the octopus?
................................................. m
3 marks 9. Write the missing numbers.
1 5
of 20 =
3 4
of 20 = 3 marks
10. Fill in the missing decimal number.
15 ÷ 10
=
15 ÷ 1000 =
15 × 0.1
15 × . . . . . . . .
1 mark Sutton Valence School
5
11. Look at the diagram.
0g
200g
400g
600g
800g
1kg
The scale shows how much five parcels weigh. All the parcels weigh the same. How much does one parcel weigh?
....................... g 3 marks
Sutton Valence School
6
12. Here is a line on a square grid. Points A and B are on the line.
y 6 5
B
4 3
A
2 1 0 0
(a)
1
2
3
4
5
6
x
The coordinates of point A are (3 , 3) What are the coordinates of point B? (............... , ...............)
(b)
Here is a different line on the square grid.
y 6 5 4 3 2 1 0 0
1
2
3
4
5
6
x
Write the coordinates of any point on this line.
(............... , ...............) 2 marks
Sutton Valence School
7
13. The diagram shows what Molly buys.
She pays with a £5 note and gets 66p change. How much did Molly pay for the shampoo?
£............................... 3 marks 14. Two shops sell packs of pens.
Supermarket
Village shop
Pack of 5 pens
Pack of 6 pens
£6.25
£ 7.20
I want to buy 30 pens. In which shop are the pens cheaper? You must show your working.
Answer.................................................... 4 marks
Sutton Valence School
8
15. This is how Caryl works out 15% of 120 in her head.
10% of 120 is 12 5% of 120 is 6 so 15% of 120 is 18
Show how Caryl can work out 17½% of 240 in her head.
........% of 240 is ........ ........% of 240 is ........ ........% of 240 is ........ so 17 12 % of 240 is ........
4 marks
16. Jeff makes a sequence of patterns with black and grey triangular tiles.
pattern number 1
pattern number 2
pattern number 3
The rule for finding the number of tiles in pattern number N in Jeff's sequence is:
number of tiles = 1 + 3N Sutton Valence School
9
(a)
The 1 in this rule represents the black tile. What does the 3N represent? ……………………………………………………………………………………………………
………………………………………………………………………………………… (b)
Jeff makes pattern number 12 in his sequence. How many black tiles and how many grey tiles does he use?
............................... black (c)
and
............................... grey tiles
Jeff uses 61 tiles altogether to make a pattern in his sequence. What is the number of the pattern he makes? pattern number ...................
(d)
Barbara makes a sequence of patterns with hexagonal tiles.
pattern number 1
pattern number 2
pattern number 3
Each pattern in Barbara's sequence has 1 black tile in the middle. Each new pattern has 6 more grey tiles than the pattern before. Write the rule for finding the number of tiles in pattern number N in Barbara's sequence.
number of tiles = …………….. + ……………….
7 marks
Sutton Valence School
10
17. Here is part of a number sequence.
7
11
19
35
To get the next number you multiply by 2 then subtract 3
Fill in the two missing numbers in the sequence.
7
11
19
35 2 marks
18. The equation shows how much you pay to hire a car. N stands for the number of days
N x 20 = T
T stands for the total you pay in £
(a)
Leena hires the car for 10 days. How much must she pay?
£....................... (b)
Later, Tom pays £280 to hire the car. For how many days does he hire the car?
....................... days 4 marks Sutton Valence School
11
19. Anna and Jack did a survey together. They asked people ‘What is your favourite sport?’ Anna drew a bar chart to show the results. 14 12 10 Number of people
8 6 4 2 0 football
tennis
cricket
Jack started to draw a pictogram to show the same results. He drew the result for football. Draw the results for tennis and cricket. football tennis cricket
2 marks 20. This question is about pupils in class 7Y. The graph shows how many of these pupils were at school each day. 30
20 Number of pupils 10
0 Sutton Valence School
Mon
Tues
Wed
Thurs
Fri 12
(a)
On which days were only 25 pupils at school? Answer...............................................
(b)
On Tuesday all the pupils in class 7Y were at school. How many of these pupils were not at school on Wednesday? Answer ............................... 3 marks
21. The table shows information about pupils in a class.
(a)
Number of boys
Number of girls
Right-handed
11
10
Left-handed
1
3
Altogether, how many pupils in the class are left-handed?
Answer...............................
(b)
A right-handed girl leaves the class. A left-handed boy joins the class. Fill in the table for the class now.
1 Number of boys
Number of girls
Right-handed Left-handed 3 marks
Sutton Valence School
13
22. Peter took part in a long jump competition. He had three jumps. The arrows on the scale show how far he jumped each time.
1st jump
2nd jump
3.9 m
(a)
3rd jump
4m
4.1 m
How far did Peter jump on his 2nd jump?
Answer............................... (b)
Peter jumped further on his 3rd jump than on his 1st jump. How much further? Write your answer in metres.
Answer............................... Now write your answer in centimetres.
Answer............................... 3 marks
23. A rectangle measures 4 centimetres by 8 centimetres.
4 cm
8 cm Not drawn accurately
Sutton Valence School
14
Kelly uses three of these rectangles to make a larger rectangle.
4 cm
8 cm Not drawn accurately
Work out the distance around the outside of this larger rectangle.
......................... cm 2 marks 24. Here is part of Nina’s school timetable for Monday. (a)
history begins
For how many minutes does Nina’s history lesson last?
………….. ................. minutes (b)
9:15
For how many minutes does
9:30
9:45
10:00
history ends, break begins
Nina’s break last? 10:15 break ends, maths begins
…………................... minutes
(c)
10:30 Nina starts school at 9am. She finishes school at 4pm.
How many hours is Nina’s school day?
..................... hours 104 marks Sutton Valence School
15
25. The Highway Code states the minimum distance there should be between cars. There are different distances for bad weather and good weather. The graph below shows this. 140 bad weather good weather
The weather is bad. A car is travelling at 40 miles per hour. What is the minimum distance it should be from the car in front? .............................. metres
(b)
The weather is good. A car is travelling at 55 miles per hour. What is the minimum distance it should be from the car in front?
.............................. metres (c)
Mr. Evans is driving 30 meters behind another car. The weather is bad. What is the maximum speed at which Mr. Evans should be driving?
.............................. miles per hour
Sutton Valence School
16
(d)
Mrs. Singh is driving at 50 miles per hour in good weather. She is the minimum distance from the car in front. It begins to rain heavily. Both cars slow down to 30 miles per hour. Use the graph to work out how much Mrs. Singh must increase her distance from the car in front. Show your working.
.............................. metres 104 marks 26..(a) Calculate angles a, b and c
a 8.1 80º
40º b
6 9.2
NOT TO SCALE
c
a = .............................. °
b = .............................. ° c = .............................. ° (b)
Calculate angles d and e:
10 .
d
50º 10
e
10
10
Sutton Valence School
NOT TO SCALE
d = .............................. ° e = .............................. °
17
(c) The diagram shows a rectangle. D
C f Not drawn accurately
65º 35º A
K
B
Work out the size of angle f You must show your working.
f = .......................° 108 marks Total 100 marks
