Jen writes out the first 12 square numbers. Which digit from 1 to 9 does Jen NOT write?

• 2

• 3

• 5

• 7

• 9

One side of an equilateral triangle is 12 cm. How many smaller equilateral triangles of side length 6 cm can fit into the larger triangle with no overlapping?

• 2

• 3

• 4

• 5

• 6

What is the next term in this sequence? 2, 5, 10, 17, 26, ...

• 39

• 35

• 36

• 50

• 37

Akanksha picks up 31 packs of crisps in a shop. They individually cost 70p each, but there is an offer of 'Buy 2, Get 1 free'. How much will she be charged for the crisps?

• £15.40

• £14.70

• £16.10

• £14.50

• £16.80

The black dot at (-3, 3) is reflected in the x-axis and then translated 5 squares to the right and 2 squares up. What are the new coordinates of the black dot?

• (2, -1)

• (3, -1)

• (3, 1)

• (2, 1)

• (1, -2)

Vivaan is building a fence around the edge of his garden, shown below. The material for the fence costs £3 per metre.

How much will his fence cost?

• £32

•  £69

•  £196

•  £9.6

•  £96

Answer explanation

Start by finding the missing lengths. The missing length on the left is equal to 4 + 5 = 9 m. The other missing length is equal to 7 − 4 = 3 m. So the perimeter of the garden is 4 + 4 + 3 + 5 + 7 + 9 = 32 m. The fence will be 32 m long, so it will cost 32 × £3 = £96.

What is the value of 2.7 × 100 ÷ 0.009?

• 3

• 30

• 300

• 3000

• 30 000

The weight of 1 ml of water is 1 g. An empty jug that weighs 1.45 kg has some water from a bottle poured into it. When a further 520 ml of water are added to the jug from the tap, it weighs twice as much as when empty. How many litres of water were added to the jug from the bottle?

• 1.2

• 0.93

• 0.88

• 1.155

• 1.005

A square of area 16 cm² and a square of area 9 cm² are positioned along the two shortest sides of a right-angled triangle, as shown. What is the area of the shaded triangle?

• 12 cm²

• 10 cm²

• 72 cm²

• 6 cm²

• 20 cm²

B is a positive integer. What must be the value of B to make this algebraic calculation correct? 3B - 10 = 5

• 2

• 5

• 6

• 10

• 4