A number that does not divide exactly by 2........
[1]
A number that has no factors except itself and 1........
[1]
Write down all the multiples of 4 between 21 and 29.
[1]
Write down a common multiple of 4 and 6.
[1]
Insert brackets to make this calculation correct.
4 - 1 × 2 = 6
[1]
Work out.
1.52 kg + 80 g
Give your answer in kilograms.
[2]
A circle has radius 5 cm.
Work out the circumference of the circle.
[2]
Work out the area of the circle.
[2]
Dan thinks of a number. He adds 3 and divides the result by 2. His answer is 16.
What number is Dan thinking of?
[2]
30 students each own one pet. The pie chart shows the proportion of each type of pet owned by the 30 students.
Use the information in the pie chart to complete this bar chart.
[3]
Jenny has a five-sided biased spinner. The sectors are coloured red, blue, green, yellow and white. She spins the spinner 100 times.
The table shows the number of times the spinner lands on each colour.
| Colour | Frequency |
| Red | 28 |
| Blue | 38 |
| Green | 6 |
| Yellow | 0 |
| White | 28 |
| Total | 100 |
Jenny uses her data to estimate the probability of the spinner landing on each colour.
Write down Jenny’s estimate for the probability of landing on red.
[1]
Jenny then writes in some of the colours on this probability scale.
Write the correct colour in the box.
[1]
Explain why Jenny’s estimate for the probability of landing on yellow cannot be the actual probability.
[1]
Shape G is drawn on the grid.
Rotate shape G by 180° about the point A.
[2]
Shape H is drawn on the grid.
Enlarge shape H with scale factor 2 and the centre of enlargement at point B.
[2]
Tom buys a radio for £40. Later he sells it and makes a profit of 20%.
Tom says
The ratio of the price I paid for the radio to the price I sold the radio is 5: 6.
Show that Tom is correct.
[3]
Nada is planning the colour scheme for her bedroom.
The colour of her carpet can be blue (B), grey (G) or red (R). The walls can be painted yellow (Y), white (W) or pink (P).
Complete the table to show all of the possible colour combinations she can make. You may not need all the rows.
[2]
Explain why it would not be mathematically correct to find the probability that Nada decides on a grey carpet and pink walls using this formula.
the total number of colour combinations
[1]
Multiply out.
Find the value of
The cube of 3 is added to the square root of 7.
Put a ring around the correct statement.
[1]
The midpoints of the sides of a rectangle are joined by straight lines as shown.
Work out the percentage of the rectangle that is shaded.
[4]
Three lines meet at a point.
Work out the size of angle a.
[2]
XY and CW are parallel lines. AB = CB. Angle CAX = 130°.
Complete this sentence.
Angle CAB = 50° because........
[1]
Work out angle BCW. Give a reason for each angle you work out.
[4]
Ryan shoots an arrow at a target. He then kicks a ball at a goal. The probability that Ryan hits the target is 
The probability that Ryan scores a goal is 
Complete the tree diagram.
........
[2]
Find the probability that Ryan
misses the target and does not score a goal,
[2]
either hits the target or scores a goal or both.
[2]
Solve the simultaneous equations.
2 x - y = 7 2 x + y = 5
[3]
Two model cars, A and B, are in a race. They start together on the starting line. Assume each car travels at a constant speed.
Car A takes 30 seconds to complete each lap of the track. Car B takes a whole number of seconds to complete each lap of the track. The two cars next cross the starting line together 150 seconds after the start of the race.
Find the four possible times that car B could take to complete one lap.
You may find this information helpful.
[5]
Write down the multiplier for an increase of 140%. Give your answer as a decimal.
[1]
Ali invests £1500 in October. The investment increases in value by 10% in November. It then decreases in value by 20% in December.
Ali says
10% – 20% = - 10%, so the £1500 has lost exactly 10% of its value.
Work out the correct percentage loss.
[5]
Solve 3 x - 5 ⩾ 10. Show your solution on the number line.
1 2 3 4 5 6 7
[4]
Amrit’s income is 32% more than Bethan’s income. Amrit and Bethan’s combined income is £54 868.
Calculate Amrit’s income.
[5]
Jacob, Amelie and Reuben each roll a fair six-sided dice. What is the probability that all three roll a number less than 3?
Give your answer as a fraction in its simplest form.
[3]
The diagram shows two rectangles, A and B.
Rectangle A has a width of 25 cm and a height of 12 cm. The width of rectangle B is three times the height of rectangle B.
The area of rectangle A is equal to the area of rectangle B.
Find the perimeter of rectangle B.
[5]
Kay invests £1500 in an account paying 3% compound interest per year. Neil invests £1500 in an account paying r % simple interest per year.
At the end of the 5th year, Kay and Neil’s accounts both contain the same amount of money.
Calculate r. Give your answer correct to 1 decimal place.
[6]
In this question, all lengths are in centimetres.
Here is a square.
Find the length of one side of the square when b = 4.
[6]
The paper as printed
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