Complete each sentence using the best expression from the box below.
impossible unlikely an even chance likely certain
[3]
It is........ that you had a birthday in 2016.
It is........ that it will rain somewhere in the
Priti rolls a fair six-sided dice once.
It is........ that she will roll a 4.
Jordan and Lucy are shopping for food.
Jordan buys 0·5 kilograms of cheese, 300 grams of grapes and 4 bread rolls.
How much does Jordan pay?
[2]
Lucy buys 0·25 kilograms of cheese and 400 grams of grapes.
How much change should Lucy have if she pays with a £10 note?
Lucy’s change is........
[3]
Calculate the value of x.
[2]
Diagram not drawn to scale
Calculate the value of y.
[2]
On the 1 cm square grid below, draw a rectangle that has an area of 24 cm2.
[1]
Write down the perimeter of the rectangle you have drawn in part (i).
[1]
[2]
How much would Paul save each day by buying a day ticket?
[1]
Paul usually works for 5 days a week.
How much would Paul save each week by buying a weekly ticket instead of return
tickets?
[2]
Next week, Paul will only be working for 3 days.
What is the cheapest way he can get to work next week and how much will it cost?
[2]
Ali and Beth have fewer than 12 marbles each.
Ali says to Beth:
How many marbles do they each have?
You must show all your working.
Ali has........ marbles and Beth has........ marbles
[3]
7. (a) Simplify each of the following.
w 
w
[1]
[2]
Here is a formula.
Find the value of v when k = 3·15 and x = 1·4.
[1]
Find the value of k when v = 12 and x = 26.
[2]
Tomas and Ada are making models.
Tomas is making a model car using the ratio 1: 18.
A windscreen wiper on the model has a length of 2·8 cm.
What is the length of the windscreen wiper on the actual car?
[1]
[1]
Ada makes a model boat. She then paints her model.
It takes her twice as long to make her model as it does to paint it.
Complete the ratio.
make: paint =........ :........
[1]
Ada takes a total of 114 hours to make and paint her model.
How many hours does it take Ada to make her model?
[2]
The table shows some of the values of y = x +5 for −3 
x 3.
| x | −3 | −1 | 1 | 3 |
| y = x +5 | 4 | 8 |
Complete the table above.
[1]
On the grid below, draw the graph of y = x +5 for −3 
x 
3.
[2]
Write down the coordinates of the y-intercept of the line.y = x +5
(........ ,........ )
[1]
Draw the graph of x = 2 on the grid on page 12.
[1]
[1]
10. (a) The price of one litre of the petrol sold at Podmore’s filling station is made up as shown.
The price of one litre of petrol is 118p.
What exact amount is paid in taxes for each litre of petrol sold at Podmore’s?
Exact amount paid in taxes........ p for one litre
[2]
What is the cost of one litre of petrol at Jimson’s filling station?
One litre of petrol costs £........
[5]
[3]
Sandy grows fruit to sell from her market stall.
The vertical line graph shows information about the baskets of blackcurrants Sandy sold last week.
How many baskets of blackcurrants did Sandy sell last week?
[1]
What fraction of the baskets of blackcurrants Sandy sold last week contained more
than 269 blackcurrants?
[2]
Sandy sells her raspberries in boxes. The frequency table shows the numbers of raspberries in 130 boxes.
| Number of raspberries | Frequency |
| 45 | 7 |
| 46 | 24 |
| 47 | 35 |
| 48 | 37 |
| 49 | 18 |
| 50 | 9 |
Find the range of the number of raspberries in a box.
[1]
Find the median number of raspberries in a box.
[2]
Calculate the mean number of raspberries in a box.
[3]
[1]
13. (a) Jon wants to draw a pie chart to show his leisure activities.
The table shows: • all his leisure activities for last week, • the percentage of leisure time he spends on some activities, • the sizes of some of the angles for the pie chart, (rounded correct to the nearest
| Activity | Percentage | Angle |
| Friends | 28% | 101° |
| Gym | 43% | |
| PC Games | ||
| Football | 5% | 18° |
| Other | 9% | 32° |
Jon spent 2 hours playing football last week.
Work out the total number of hours he spent on his leisure activities last week.
[1]
Complete the percentage column in the table above.
[1]
Complete the angle column in the table above.
[2]
Complete the pie chart to show the information in the table.
[1]
[2]
Omar used the following recipe to make a drink to sell at a school fete.
He squeezed:
• 68 ml of juice from each orange,
• 232 ml of juice from each grapefruit.
Omar sold 72 glasses of his drink. The bottles of lemonade Omar used each contained 2 litres.
How many bottles of lemonade did Omar need to open?
You must show all your working.
[5]
All the lemonade was donated, so cost Omar nothing. He only paid for the fruit that he used.
The oranges cost £1.08 for a bag of 6. The grapefruit cost 56p each.
Omar made 60% profit on each glass he sold.
What was the selling price of each glass of Omar’s drink?
Selling price of each glass........
[4]
The diagram shows a vegetable plot in the shape of a trapezium.
It costs £1.35 per m2 to treat the plot with fertiliser.
Show that it costs less than £14 to treat the plot with fertiliser.
[4]
[4]
[2]
Abby, Ben and Ceri are solving a puzzle.
Abby takes x seconds. Ben takes 5 seconds more than Abby. Ceri takes twice as long as Ben.
Ceri takes 116 seconds to solve the puzzle.
Use an algebraic method to find how long Abby takes to solve the puzzle.
You must show all your working.
Abby takes........ seconds
[3]
Tori’s grandfather buys a gold coin for her on the day she is born. The coin costs £130. The value of the coin is expected to increase by 6% each year.
What value is the coin expected to have on Tori’s 10th birthday?
Give your answer correct to the nearest penny.
Expected value of the coin £........
[3]
The circumference of a circle is 40·841 cm.
Find the area of this circle.
You must show all your working.
[4]
A tram company sells all-day tickets.
1 adult ticket and 4 child tickets cost a total of £16.30. 2 adult tickets and 3 child tickets cost a total of £19.10.
Use an algebraic method to find the total cost of 3 adult tickets and 1 child ticket.
[5]
21. (a) The diagram shows the side view of a design for a ramp to a building.
For the design to be approved, the angle of rise must not be more than 4·8°.
Use calculations to show that the design should be approved.
[3]
The diagram shows a concrete ramp to a different building. It was not approved and needs to be completely removed.
The ramp is a triangular prism and is 2·5 m wide. How many cubic metres of concrete will need to be removed?
You must show all your working.
[5]
22. (a) y
p and q are translation vectors with
Shape A is mapped to shape B using p + 2q.
Find the column vector which translates shape A to shape B.
[2]
Draw and label shape B on the grid on page 32.
[2]
Triangle C has vertices with coordinates (4, 3), (6, 5), (6, 0). After a single transformation, the vertices of triangle C are mapped to (3, 4), (5, 6), (0, 6).
Describe the transformation.
You may use this grid to help you.
Transformation:........
[2]
23. (a) Expand and simplify.(x 
6)(7x 
5)
[3]
Factorise.y2 
2xy
[1]
The paper as printed
Spotted a mistake on this page?Report a problem