Week 65 · Maths Practice Paper

Calculate 734 − 486

Calculate 391 ÷ 17

Calculate 14% of 28,500

Order these from smallest to largest: 1.45, 1.045, 1.405, 1.054, 1.4, 1.54, 1.504

My journey to school takes 53 minutes. If I set off at 07:48 what time will I arrive at school?

Circle the numbers which give 9 when rounded to the nearest whole number: 8.51, 9.49, 9.51, 8.49, 8.9, 9.9

Fill in the next three numbers in these sequences:

A grid of 20 identical boxes (4 rows of 5) has 13 boxes shaded. What percentage of the grid is shaded?

Calculate 1.2 × (3.5 + 2.5) − 3

85 students need 4 pens each. Pens are sold in packs of 8. How many whole packs need to be bought?

The minute hand on a clock points exactly to the number 5. It is then turned anticlockwise by 210°. What number does it now point to?

Each missing digit in the following calculations is either 2, 5 or 7. Fill in each box with one of these numbers (you may use each more than once): [ ] + 18 = [ ][ ], and [ ][ ] × 3 = [ ][ ]

Leo thinks of a number. He multiplies it by 6 and then subtracts 17. The answer he gets is 43. What number did he originally think of?

Which whole number when multiplied by itself will give an answer between 220 and 230?

Which number between 71 and 79 is exactly divisible by 7?

Leo has 32 badges. If he gives 58 of them to his brother, how many does he have left?

A rectangular room is twice as long as it is wide. The perimeter of the room is 42m. What is the length of the room?

A cube net is a cross shape: a vertical column of four squares labelled (top to bottom) 1, 2, 3, 4, with two more squares attached to the left and right of square 2, labelled 5 and 6. When folded into a cube:

You are told that 35% of the pupils in a class are girls. What is the smallest number of pupils the class could contain?

Fence posts are erected 4m apart (with a post at each corner) to support fencing round a rectangular field. If the field measures 80m by 50m, how many posts are needed?

A girl spent 25 of her allowance and put 13 of the remainder in the bank. She then had £20 left. How much money did she have to start with?

A carpet measuring 5m by 4m covers 50% of the floor area in a rectangular room. What is the width of the room if the length is 8m?

A standard die has dots on its faces such that opposite faces always sum to 7. If three faces meeting at one corner show 2, 3 and 5, what is the sum of the three faces meeting at the diagonally opposite corner?

Ben sold his bike to Ty for £150. After riding it for a few days, Ty discovered it was in poor condition, so he sold it back to Ben for 25% less than he paid. The next day Ben sold it to Jack for £130. What is Ben's profit on the final sale?

A patio is made up of a 5-by-4 grid of 20 square concrete slabs. 6 of them are cracked.

Look at these numbers and multiplications: 49 = 7 × 7, 4489 = 67 × 67, 444889 = 667 × 667.

120 aliens attended an inter-species meeting on Mars. 84 of them needed breathing apparatus, 60 needed shaded goggles, but 18 aliens didn't need either. How many aliens needed breathing apparatus AND goggles?

In imperial units of length, one furlong = 10 chains, one chain = 22 yards and one yard = 3 feet.

Blocks shaped like a house (a 1cm by 1cm by 1cm cuboid topped by a triangular-prism roof of height 1cm, total height 2cm) are packed into a container measuring 6cm by 2cm by 2cm. What is the greatest number of blocks that can be placed inside the container?

Given the following clues, work out the number of gold, silver and bronze medals that Brazil, Denmark and Canada got in an international competition: (a) Canada has 1 more gold medal, but 2 fewer silver medals, than Denmark. (b) Brazil has the most bronze medals (20), but fewest gold medals (6). (c) Each country has at least 6 medals of each type. (d) Denmark has 28 medals in total. (e) Denmark has 2 more bronze medals than gold medals. (f) The three countries have 40 bronze medals in total. (g) Brazil has twice as many silver medals as Denmark has gold medals. (h) Canada and Denmark have the same number of bronze medals.

The T-tetromino is the shape made by joining four 1×1 squares edge to edge (a T-shape). A rectangle has dimensions 4a × 4b, where a and b are whole numbers. Prove that the rectangle can be tiled by these T-tetrominoes so that it is covered exactly, without gaps or overlaps.

It takes 3 men 4 days to build a wall. Assume all men work at the same rate all the time and take no breaks. You may use fractions where necessary.

(a) A sequence starts 3, 12, ... Each term is 4 times the term before.

You are reminded that to write the number 135 requires three digits; to write 5056 requires four digits. What is the total number of digits required to write each of the following sets of numbers?

A pattern of tiles has outer tiles around the edge white and inner tiles black. When the number of rows and columns changes, the outer tiles stay white.

Imagine you have a can of red paint, a can of blue paint, and a large supply of identical wooden cubes. You paint each cube by making every face either red or blue. Two cubes are considered the same if one can be turned so all its faces match the other's. How many different coloured cubes can you make?