Circle the calculation that increases 400 by 7%

Simplify 3⁴ × 3⁴

Circle the answer.

Circle the area that is the same as 5.5 m²

One of these graphs is a sketch of y = 1 − 2x Which one?

Select the correct letter.

The scatter graph shows the age and the price of 18 cars.
The cars are all the same make and model.

Use a line of best fit to estimate the price of a 6-year old car.

Kelly is trying to work out the two values of w for which 3w − w³ = 2
Her values are 1 and −1

Are her values correct?

Work out ×

Give your answer as a mixed number in its simplest form.

Solve 5x – 2 > 3x + 11

The nth term of a sequence is 2n + 1
The nth term of a different sequence is 3n − 1

Work out the three numbers that are

in both sequences

and

between 20 and 40

White paint costs £2.80 per litre.
Blue paint costs £3.50 per litre.
White paint and blue paint are mixed in the ratio 3 : 2

Work out the cost of 18 litres of the mixture.

Students in a class took a spelling test.
The diagram shows information about the scores.

Lucy is one of the 29 students in the class.
Her score was the same as the median score for her class.

Work out her score.

ABCH is a square.
HCFG is a rectangle.
CDEF is a square.

They are joined to make an L-shape.

Show that the total area of the L-shape, in cm², is of the from ax² + bx + c and give the values of a, b, and c

Here are sketches of four triangles.

In each triangle

the longest side is exactly 1 cm

the other length is given to 2 decimal places.

A prime number between 300 and 450 is chosen at random. The table shows the probability that the number lies in different ranges.

a × 10⁴ + a × 10² = 24 240 where a is a number.

Work out a × 10⁴ − a × 10²

Give your answer in standard form.

AB, CD and YZ are straight lines.
All angles are in degrees.

To complete a task in 15 days a company needs

4 people each working for 8 hours per day.

The company decides to have

5 people each working for 6 hours per day.

Assume that each person works at the same rate.

In this question all dimensions are in centimetres.

A solid has uniform cross section.
The cross section is a rectangle and a semicircle joined together.

Work out an expression, in cm³, for the total volume of the solid.

Write your expression in the form ax³ + πx³ where a and b are integers.

Show that 12 cos 30° − 2 tan 60° can be written in the form where k is an integer.

What is the value of k?

On Friday, Greg takes part in a long jump competition.

He has to jump at least 7.5 metres to qualify for the final on Saturday.

He has up to three jumps to qualify.

If he jumps at least 7.5 metres he does not jump again on Friday.

Each time Greg jumps, the probability he jumps at least 7.5 metres is 0.8

Assume each jump is independent.

A, B and C are points on a circle.

BC bisects angle ABQ.

PBQ is a tangent to the circle.

Angle CBQ = x

What is the value of angle ACB in terms of x?

Steph is solving a problem.

Cube A has a surface area of 150 cm²
Cube B has sides half the length of cube A

What is the volume of cube B?

Square OABC is drawn on a centimetre grid.

Here is the velocity-time graph of a car for 50 seconds.

f(x) = 2x + c

g(x) = cx + 5

fg(x) = 6x + d

c and d are constants.

Work out the value of d.

Rationalise the denominator and simplify

Convert 0.172 to a fraction in its lowest terms.

The diagram shows the circle x² + y² = 10

P lies on the circle and has x-coordinate 1

The tangent at P intersects the x-axis at Q.

Work out the coordinates of Q.