Week 3 · Maths Practice Paper

Fill in this multiplication grid (only the shaded row/column headers and white product cells shown are given; work out the rest).

The sum of eight single-digit positive whole numbers is 26. Seven of these numbers are equal, so what is the other number?

A square piece of paper has side length 24 cm. Fold 1: fold it exactly in half along a line joining the midpoints of two opposite sides (this gives a 24 cm × 12 cm rectangle). Fold 2: fold this rectangle exactly in half again, along a line joining the midpoints of its two SHORTER sides. What are the dimensions of the final shape?

Work out 137 ÷ 4. Write your answer as:

347 is multiplied by 4283. What will the unit's digit of the answer be?

24 + 33 + 42 + 51 + 60 + 69 + 78 = ?

Each brick must have a number shown on it, where each brick is the sum of the two bricks it stands on. Which number should replace x in this tower?

An arts school has 120 students. 45 of them study Painting and 35 study Sculpture. Given that 20 students study both Painting and Sculpture, how many students study neither?

Maya cycles three times as fast as her dad. Her dad cycles three times as fast as her younger brother, Theo. They all set off together for a bike ride down the same straight path. When Maya has cycled 18 km, how far apart are her dad and Theo?

The diagram shows three squares of the same size, each with one corner touching a single central point (and not overlapping each other). Together with the angle labelled x°, they exactly surround the point. What is the value of x?

In Priya's pocket she has 4 strawberry jellybeans, 7 melon jellybeans and 9 apple jellybeans. How many jellybeans does she need to take out of her pocket to guarantee having at least one jellybean of each flavour?

The diagram shows the net of a cube, made from a strip of four squares labelled W, X, Y, Z (left to right, which will wrap around to form the four side faces), with an extra square M attached to the top edge of X, and an extra square N attached to the bottom edge of Y.

When folded into a cube, which face is directly opposite face M?

Priya bought 5 lemon drops and 6 mint chews for GBP 1.42. Zara bought 5 lemon drops and 2 mint chews for GBP 0.94. How much is one lemon drop?

It is the year 2025. Priya, Aisha, Noor and Farah have their 6th, 9th, 9th and 12th birthdays today. In what year will their ages total 100?

Fibonacci Street has 312 houses on it, numbered 1 - 312. Houses 58-101 inclusive will be knocked down to build a school. How many houses will remain on Fibonacci Street?

This sentence contains the letter e ___ times. Write a word that is a number between 1-10 to make the sentence true.

The diagram below shows a grid made of 3 columns and 2 rows of identical small squares (so the grid is 3 squares wide and 2 squares tall). How many rectangles of any size (including the small squares themselves) can you count in the diagram?

4! = 1 × 2 × 3 × 4 = 24

5! = 1 × 2 × 3 × 4 × 5 = 120

How long is 8! seconds? Give your answer in hours and minutes.