Week 55 · Maths Practice Paper

Work out 3568 + 4753

Work out 8214 − 3567

Work out 2846 × 7

Work out 5376 ÷ 8

Work out 56 of 108

Write down the next number in the sequence. 91, 82, 73, 64, ___

Write a number in each box to complete the statements.

Write in numerals, the number that is two hundred less than nineteen thousand and thirty.

Write the missing sign ( =, < or > ) in the box. 14 × 9 ___ 18 × 7

In Berlin the temperature is −8°C and in Rome the temperature is 19 degrees warmer. What is the temperature in Rome?

Priya thinks of a number. She multiplies it by 6 and then subtracts 5. Her result is 43. What was the number Priya first thought of?

A decorative tile pattern is made from 40 identical small squares arranged in a star outline. 15 of the small squares are shaded grey. What fraction of the star is shaded? Give your answer in its simplest form.

Ellis left home at 8.07 a.m. and reached school 52 minutes later. At what time did Ellis reach school?

What is the difference between a third of 9 and a quarter of 8?

A two-stage number machine changes numbers according to the rule 'Subtract 4, then multiply by 3'.

Freya has six number cards: 2, 3, 4, 5, 6, 9. The cards can be placed side by side to form different numbers.

In a magic square the sum of the numbers in each row, column and diagonal is the same. The numerals 1 to 9 are used in this magic square. Complete the magic square.

Nadia has correctly performed the following multiplication using her calculator: 26 × 34 = 884. Without doing any long multiplications, use Nadia's calculation to help you write down the results of the following:

Mia uses these ingredients to make lemonade: For 8 people — 400 millilitres water, 150 grams sugar, 600 grams lemon juice, 4 lemons.

Ben and Chloe have each thought of an integer (whole number) between 0 and 20. The product of their numbers is 72, and the difference between the numbers is the same as Ben's number. What is Chloe's number?

The Venn diagram below is being used for sorting even numbers from 2 to 24 inclusive.

Plums cost 68p each; blueberries cost 4p each. Tom buys as many plums as he can for £4, and spends all of his change on blueberries.

A shape has vertices at (2,3), (6,3), (6,7), (4,9) and (2,7). Reflect it in the vertical line x = 6. Give the reflected coordinates.

Priya missed the 3.15 p.m. train by four minutes.

A square has perimeter 32 cm. Work out the area of the square.

A pencil is placed along a ruler marked in centimetres. Its sharp tip is at the 2.3 cm mark and its blunt end is at the 11.8 cm mark. What is the length of the pencil?

Freddie's marks in six spelling tests are: 8, 10, 6, 10, 4, 9. What is the range of his marks?

The table below shows the results of a survey into the number of snails found under stones in a garden: Pot P: 8, Pot Q: 8, Pot R: 10, Pot S: 5, Pot T: 9.

Mum, Dad and Uncle Joe have three drinks: tea, coffee and juice. Mum likes tea or juice. Dad only likes coffee, and Uncle Joe likes all three. How can it be arranged so that they each get a drink that they like?

For a regular hexagon,

A spinner has the numbers 1 to 20 on it, and is equally likely to land on each number. Give each answer as a fraction in its simplest form.

Tick the correct box for each statement: 'Always true', 'Sometimes true' or 'Never true'.

A parcel is weighed on a scale marked from 0 to 5 kg in 0.1 kg intervals. The pointer rests exactly one fifth of the way from the 2 kg mark to the 3 kg mark. Write down the mass

Nadia has a jug of capacity 2 litres, which is full of juice. She has six cups, each of capacity 200 ml, which she fills from her jug.

On a centimetre square coordinate grid, P (2,3), Q (7,4) and R (6,9) have been plotted. PQRS is a square.

Two congruent right-angled triangles each have legs of 3 cm and 4 cm.

Nina has a rectangular card that measures 20 cm by 8 cm.

Cube A has a volume of 27 cm³. Another cube, B, has edges which are three times the length of the edges of cube A. Work out the volume of cube B.

A grain of rice weighs 0.02 grams.

Sam wants to buy a sandwich. The options are: bread — white 30p (W) or wrap 45p (R); filling — cheese 80p (C) or tuna 65p (T); extra — pickle 20p (P) or mayonnaise 15p (M).

A sequence of patterns is made from small squares. Pattern 1 has 1 square, Pattern 2 has 3 squares — the number of squares in Pattern n follows the triangular numbers. The perimeter of Pattern n (in units) follows the rule 'perimeter = 4 × pattern number'.

Three squirrels, Nora, Effie and Tara, are collecting acorns. Nora collects three times as many as Effie. Effie collects twice as many as Tara. Between them they collect 252 acorns. How many did each collect?

Starting with a 2-digit number, Hana applies the rule 'Square the difference between the digits', repeatedly, until her result is a single-digit number. Example: 84 → (8−4)² = 16 → (6−1)² = 25 → (5−2)² = 9 (3 steps).

In the time that Alex can cycle 90 metres, Ben can cycle only 54 metres. Ben has a 90 metre head start, then Alex sets off in pursuit. How many metres will Alex cycle before he catches Ben?

Ravi has two counters, each with a different whole number on each side. He throws them once and adds the numbers he sees: 3 + 8 = 11. He throws them several more times and gets the following totals: 9, 14, 16.