Data
Angles
Shapes
Algebra
Proportion
100

Find the mean and median amount spent at the shop:

£2.50, £3, 50p, £2.40

Mean: £2.10

Median: £2.45

100

One of the interior angles in an isosceles triangle is 54°. What size might the other interior angles be?

63° and 63° or 54° and 72°

100

The circumference of a circle is 66cm. What is its diameter to the nearest centimetre?

21cm

100

Work out 2x + 7 = 3

x = -2

100

Write 17:25 in the form n:1

0.68:1

200

Which average is each person using?

1, 2, 4, 5, 5, 7

Rahul says 5

Lilly says 4

Kai says 4.5

Rahul: Mode

Lily: Mean

Kai: Median

200

A kite has three identical angles. One of the angles is 75°. What might the other 3 angles be?

95°, 95°, 95° or 75°, 75°, 135°

200

A right-angled triangle has shorter sides of 9cm and 12cm. What is its perimeter?

36cm

200

Expand and simplify

(3x + 7)(x - 5)

3x2 - 8x - 35

200

A 125g yoghurt contains 6g of protein.

How many grams of protein does 200g of yoghurt contain?

9.6g

300

A scatter graph shows a negative correlation between age and number of hours per day spent on phones.

There is one outlier on the scatter graph.

Why might this be?

The child is too young to have a phone.
300

What is the sum of the interior angles in a nonagon?

1260°

300

A quarter-circle has a diameter of 25cm. What is its area to 1dp?

122.7cm2

300

Solve the inequality

2x + 7 > 31 - x

x > 8

300

Alex and John are driving home from their holiday.
They share the drive in the ratio 1:3.
John drives 120 miles further than Alex.

How long was the drive home?

160 miles

400

Here is the salary of six people at a company:

£22000, £22000, £34000, £36000, £38000, £750000

Which average would be the best representation of the "average salary" at the company?

Median

400

Draw a pair of corresponding angles, a pair of alternate angles, a pair of vertically opposite angles and a pair of co-interior angles.

Angles!

400

A cube has a volume of 343cm3. What is its surface area?

294cm2

400

Find the nth term

4, 15, 28, 43, 60

n2 + 8n - 5

400

Jackie needs to buy 30 chairs.

Chairworld sells sets of 4 chairs for £3.25.

Seatland sells sets of 6 chairs for £5.50.

Which shop is better value, and how much money would Jackie save by shopping there?

Chairworld by £1.50

500

What is the mean number of pets owned by each student?

Number of pets | Frequency
0 | 2
1 | 4
2 | 7
3 | 2

1.6

500

How many sides does a regular polygon with 165° interior angles have?

24

500

The angles in a right-angled triangle are in the ratio 2:3:5.

The side opposite to the smallest angle is 6cm long.

How long is the hypotenuse of the triangle to 1dp?

10.2cm

500

Solve by factorising

x2 + 12x - 64 = 0

x = -16 and x = 4

500

An athletics club wins gold, silver and bronze medals.

Gold medals to silver medals = 1:3
Silver medals to bronze medals = 5:3

The athletics club has won 27 bronze medals.

How many medals has the club won in total?

87 (15 gold, 45 silver, 27 bronze)

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