Question 1
Here is a rectangle.
Work out the perimeter. Circle your answer.
12 cm 24 cm 35 cm 70 cm
[1 mark]
Here is a rectangle.
Work out the perimeter. Circle your answer.
12 cm 24 cm 35 cm 70 cm
[1 mark]
Circle the number greater than –0.9
[1 mark]
Simplify 8 x – 3 + 6 x Circle your answer.
2 x – 3 11 x 5 + 6 x 14 x – 3
[1 mark]
What is the angle of turn clockwise from South West to East?
Circle your answer.
45° 135° 225° 315°
[1 mark]
Lucy works for 37 hours per week. Her weekly wage is £303.40 She receives a pay increase of 25p per hour. Work out her new weekly wage.
[2 marks]
Complete the bank statement.
[3 marks]
Write down the meaning of ‘Debit’ as used in the bank statement.
[1 mark]
Line AB is shown on the grid. A is the point (0, 2)
Work out the coordinates of the midpoint of the line AB.
[1 mark]
C is another point on AB. C is closer to B than to A. The coordinates of C are whole numbers. Work out the coordinates of C.
[1 mark]
On the grid, draw a line from point (0, 0) that is parallel to AB and two thirds as long as AB.
[2 marks]
Lena is at the gym.
She will use each of these pieces of equipment once. Rowing machine (R) Stepper (S) Treadmill (T) Bike (B) Lena will use the rowing machine first. List all the possible orders in which she could use the four pieces of equipment.
[2 marks]
The table shows how long Lena spends on each piece of equipment.
| Rowing machine | 15 minutes |
| Stepper | 13 minutes |
| Treadmill | 35 minutes |
| Bike | 1 hour 30 minutes |
Lena starts on the rowing machine at 1.50 pm She has a break for 4 minutes between pieces of equipment. What time does she finish on her last piece of equipment?
[3 marks]
The table shows the number of messages Sam received each day for five days.
| Messages | ||
| Number of emails | Number of texts | |
| Monday | 12 | 5 |
| Tuesday | 8 | 6 |
| Wednesday | 10 | 3 |
| Thursday | 6 | 6 |
| Friday | 12 | 4 |
Sam draws a composite bar chart to represent the data. He has drawn the bar for Monday.
Complete the chart.
[2 marks]
In total, what fraction of the messages were emails? Give your answer in its simplest form.
[3 marks]
Each side of a square is made 3 times as long. What happens to the perimeter? Circle your answer.
× 3 × 6 × 9 × 12
[1 mark]
Here is a list of ingredients needed to make 6 pancakes.
| Flour | 120 grams |
| Eggs | 2 |
| Milk | 210 millilitres |
Complete the list of ingredients needed to make 9 pancakes.
[3 marks]
Convert 210 millilitres to fluid ounces. Use 1 fluid ounce = 28.4 millilitres Give your answer to 1 decimal place.
[2 marks]
A charity sends an appeal letter to 3000 people. The letter asks for a donation of money. Here is some information about the last appeal letter the charity sent out.
Using this information, work out the amount the charity can expect to receive from this appeal.
[6 marks]
The average donation from the people who filled in a tax form was more than £8.60 How does this affect your answer to part (a)? Tick one box.
Give a reason.
[1 mark]
Lee wants to draw the graph of y = x for values of x from –5 to 5 Here is his graph.
Make two different criticisms of his graph.
[2 marks]
A company uses this formula to work out the cost, £ A, of a taxi ride. A = 4 + 1.8 m + b £4 is a fixed charge m is the number of miles travelled £ b is a charge for booking online
Clare books a taxi online and travels 8 miles. She pays £20 altogether. How much is the charge for booking online?
[3 marks]
A different company has a fixed charge of £3 charges £1.90 per mile has no charge for booking online. Write a formula for the cost, £ C, of a taxi ride with this company.
[1 mark]
What does (A ∩ B) represent in P(A ∩ B) ? Circle your answer.
A or B or both A but not B
not A and not B A and B
[1 mark]
A circle has circumference C and diameter d.
What value does the constant k represent?
[1 mark]
There are 240 cows on a farm.
On the farm, number of bulls: number of cows = 1: 30 How many bulls are there?
[1 mark]
Assume the 240 cows produce milk for 10 months each year each cow produces an average of 25 litres of milk per day. Estimate the total milk production, in litres, of the 240 cows in one year. You must show your working.
[4 marks]
Here is a right-angled triangle.
Show that x = 12
[2 marks]
Work out the values of a and b in the identity
[4 marks]
The first four terms of a linear sequence are 7 11 15 19 Circle the expression for the n th term.
n + 6 4 n + 3 7 n + 4 n + 4
[1 mark]
Here is some information about 20 trains leaving a station.
Work out an estimate of the mean number of minutes late.
[3 marks]
The station manager looks at the information in more detail.
| Number of minutes late, t | Number of trains |
| 0 | 12 |
| 2 | 0 |
| 4 | 7 |
| 6 | 0 |
| 8 | 0 |
| 10 | 1 |
He works out an estimate of the mean using this information. How does his estimate compare with the answer to part (a)? Tick one box.
[1 mark]
Two identical quarter circles are cut from a rectangle as shown.
Work out the shaded area.
[4 marks]
The diagrams show the position of a tap when off and fully on. The tap is fully on when the angle of turn is 180°
When fully on, water flows out of the tap at 14 litres per minute. The rate at which water flows out is in direct proportion to the angle of turn. The tap is turned 135°
The water flows into a tank with a capacity of 79.8 litres. Will it take less than 7 minutes to fill the tank? You must show your working.
[4 marks]
This triangle is equilateral.
Is the perimeter of the triangle greater than one metre? You must show your working.
[5 marks]
An approximation for the value of π is given by
Use your calculator to show that this approximation is within 0.1 of 3.14
[2 marks]
The paper as printed
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