Week 67 · Maths Practice Paper

Calculate 23.08 − 22.79

Calculate 42.7 × 6

Calculate 35% of 840

95 people go to the school concert. They pay £1.45 each. How much money is collected?

Calculate 3.2 × (2.8 + 2.2) ÷ 4

Fill in the missing numbers:

Write in the missing number to make this correct: 0.483 = 0.4 + 0.08 + ___

Circle the number closest in value to 0.2: 0.05, 0.15, 0.28, 0.4, 0.7

Here are some digit cards: 2, 4, 6, 6. Write all the three-digit numbers, greater than 500, that can be made using these cards.

Write the three prime numbers which multiply to make 195:

Nadia makes a sequence of 5 numbers. The first number is 3. The last number is 23. Her rule is to add the same amount each time. Write in the missing numbers: 3, ___, ___, ___, 23

In this sequence each number is double the previous number. Write in the missing numbers: ___, ___, 5, 10, 20, 40, 80, ___

Priya and Nora have some biscuits. Altogether they have 18 biscuits. Priya has 4 more biscuits than Nora. How many biscuits do Priya and Nora each have?

Leo thinks of a number. He says, 'Add 4 to my number and then multiply the result by 6. The answer is 42.' What is Leo's number?

A box contains 200 matches and weighs 50 grams. The empty box weighs 20 grams. Calculate the weight of one match.

Sam makes a fruit salad using bananas, oranges and apples. For every one banana, she uses 3 oranges and 4 apples. Sam uses 32 fruits. How many oranges does she use?

In a country dance there are 4 boys and 3 girls in every line. 48 boys take part in the dance. How many girls take part?

The diagram shows a shaded triangle inside a larger triangle. The area of the shaded triangle is 48 cm². The area of the shaded triangle is 38 of the area of the larger triangle. Calculate the area of the larger triangle.

Find the smallest 2-digit number that can be multiplied by itself to give a 4-digit answer, and give the answer too.

Write in the missing digits (one digit in each space): 234 × ?9 = 1380?

An eight-pointed star is formed by overlapping two identical squares of the same size, one rotated 45° relative to the other, sharing the same centre. How many lines of symmetry does the resulting star shape have?

In the grid below, each letter represents a number. The numbers on the right show the total of each row, and the numbers at the bottom show the totals of each column. Which numbers should replace each of the letters? Row 1: A, D, D, D → 23. Row 2: B, A, B, D → 29. Row 3: C, B, C, B → x. Row 4: A, A, A, A → 20. Column totals: 23, y, 24, 26.

I am thinking of a number that when I multiply it by 3 and divide the result by 9, then square the result of that, gives me a number that when I subtract 9 and divide by 4, gives me 4. What is the number I originally thought of?

My watch is set to show the correct time at 9am on Monday. It gains 6 minutes every 4 hours.

Four apples and a banana cost 38p. Eight apples and a banana cost 66p. How much does one banana cost?

The combined age of Alan and Ben is thirty-eight. The combined age of Alan and Carl is fifty and the combined age of Ben and Carl is sixty.

A palindromic number can be read the same forwards and backwards, e.g. 44 and 636. How many such numbers are there between 5 and 1000?

After a card game, four gamblers had £312 between them. Harry had £15 more than Dana, Charlotte had £40 more than Dana and Sid had £65 more than Dana. How much did each of them have?

There are 8 fangos in a rango and 12 rangos in a bango.

A square has area 36 cm². Four identical right-angled triangles are cut from its four corners, each with legs 2cm and 2cm, leaving an octagon. What is the area of the remaining octagon?

The numbers 1 to 600 are arranged in order in a table with 9 columns (row 1: 1–9, row 2: 10–18, and so on).

You are told that N_n means 'add up the first n counting numbers' (N_5 = 1+2+3+4+5 = 15), O_n means 'add up the first n odd numbers', and E_n means 'add up the first n even numbers'.

Seven cards spell M, A, T, H, S, I, C, each with a different number 1–7 on the back (not in that order). M has the number 1. The cards M, A, T add up to 9. The cards M, A, H add up to 10. The cards C, A, H add up to 12.

You are told that opposite sides of a cube add up to 13. Three faces meeting at one corner show 4, 6 and X. The diagonally opposite corner shows the other three faces, which sum to 21.

On the island of Mathia, people use symbols instead of numbers. Here are some facts about Mathian numbers, where P, Q, R, S, T are symbols representing numbers: P + P = T. P + Q = T + R. R + S = T + Q. Now answer these questions (give your answer in Mathian numbers using just ONE symbol):