List

Year 5 Working Systematically

Multiplication Squares
problem
Favourite

Multiplication Squares

Age
7 to 11
Challenge level
filled star empty star empty star

Can you work out the arrangement of the digits in the square so that the given products are correct? The numbers 1 - 9 may be used once and once only.

Brush Loads
problem
Favourite

Brush Loads

Age
7 to 11
Challenge level
filled star empty star empty star

How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.

Round the Dice Decimals 2
problem
Favourite

Round the Dice Decimals 2

Age
7 to 11
Challenge level
filled star empty star empty star

What happens when you round these numbers to the nearest whole number?

Greater Than or Less Than?
problem
Favourite

Greater Than or Less Than?

Age
7 to 11
Challenge level
filled star empty star empty star
Use the numbers and symbols to make this number sentence correct. How many different ways can you find?
A4 Fraction Subtraction
problem
Favourite

A4 Fraction Subtraction

Age
7 to 11
Challenge level
filled star empty star empty star

This task offers opportunities to subtract fractions using A4 paper.

Abundant Numbers
problem
Favourite

Abundant Numbers

Age
7 to 11
Challenge level
filled star empty star empty star
48 is called an abundant number because it is less than the sum of its factors (without itself). Can you find some more abundant numbers?
Reach 100
problem
Favourite

Reach 100

Age
7 to 11
Challenge level
filled star filled star empty star

Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.

Two Primes Make One Square
problem
Favourite

Two Primes Make One Square

Age
7 to 11
Challenge level
filled star filled star empty star
Can you make square numbers by adding two prime numbers together?
More Transformations on a Pegboard
problem
Favourite

More Transformations on a Pegboard

Age
7 to 11
Challenge level
filled star filled star empty star
Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
Route Product
problem
Favourite

Route Product

Age
7 to 11
Challenge level
filled star filled star empty star

Find the product of the numbers on the routes from A to B. Which route has the smallest product? Which the largest?

Through the Window
problem
Favourite

Through the Window

Age
7 to 11
Challenge level
filled star filled star empty star

My local DIY shop calculates the price of its windows according to the area of glass and the length of frame used. Can you work out how they arrived at these prices?

Six Numbered Cubes
problem
Favourite

Six Numbered Cubes

Age
7 to 11
Challenge level
filled star filled star empty star
This task combines spatial awareness with addition and multiplication.
A4 Fraction Addition
problem
Favourite

A4 Fraction Addition

Age
7 to 11
Challenge level
filled star filled star empty star

Try adding fractions using A4 paper.

Maze 100
problem
Favourite

Maze 100

Age
7 to 11
Challenge level
filled star filled star empty star
Can you go through this maze so that the numbers you pass add to exactly 100?
Egyptian Rope
problem
Favourite

Egyptian Rope

Age
7 to 11
Challenge level
filled star filled star empty star
The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots. What other triangles could you make if you had a rope like this?
Forgot the Numbers
problem
Favourite

Forgot the Numbers

Age
7 to 11
Challenge level
filled star filled star empty star

On my calculator I divided one whole number by another whole number and got the answer 3.125. If the numbers are both under 50, what are they?

Numerically Equal
problem
Favourite

Numerically Equal

Age
7 to 11
Challenge level
filled star filled star empty star

Can you draw a square in which the perimeter is numerically equal to the area?

Twenty Divided into Six
problem
Favourite

Twenty Divided into Six

Age
7 to 11
Challenge level
filled star filled star empty star
Katie had a pack of 20 cards numbered from 1 to 20. She arranged the cards into 6 unequal piles where each pile added to the same total. What was the total and how could this be done?
One Wasn't Square
problem
Favourite

One Wasn't Square

Age
7 to 11
Challenge level
filled star filled star empty star
Mrs Morgan, the class's teacher, pinned numbers onto the backs of three children. Use the information to find out what the three numbers were.
Fitted
problem
Favourite

Fitted

Age
7 to 11
Challenge level
filled star filled star filled star

Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?

Curious number
problem
Favourite

Curious number

Age
7 to 11
Challenge level
filled star filled star filled star

Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?

Ribbon Squares
problem
Favourite

Ribbon Squares

Age
7 to 11
Challenge level
filled star filled star filled star

What is the largest 'ribbon square' you can make? And the smallest? How many different squares can you make altogether?