List

Year 5 Working Systematically

Abundant Numbers
problem
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Abundant Numbers

Age
7 to 11
Challenge level
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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?
Multiplication Squares
problem
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Multiplication Squares

Age
7 to 11
Challenge level
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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
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Brush Loads

Age
7 to 11
Challenge level
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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
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Round the Dice Decimals 2

Age
7 to 11
Challenge level
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What happens when you round these numbers to the nearest whole number?

Greater Than or Less Than?
problem
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Greater Than or Less Than?

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

Age
7 to 11
Challenge level
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This task offers opportunities to subtract fractions using A4 paper.

Maze 100
problem
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Maze 100

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

Age
7 to 11
Challenge level
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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
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Forgot the Numbers

Age
7 to 11
Challenge level
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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
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Numerically Equal

Age
7 to 11
Challenge level
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Can you draw a square in which the perimeter is numerically equal to the area?

Twenty Divided into Six
problem
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Twenty Divided into Six

Age
7 to 11
Challenge level
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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
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One Wasn't Square

Age
7 to 11
Challenge level
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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.
Reach 100
problem
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Reach 100

Age
7 to 11
Challenge level
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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
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Two Primes Make One Square

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

Age
7 to 11
Challenge level
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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
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Route Product

Age
7 to 11
Challenge level
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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
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Through the Window

Age
7 to 11
Challenge level
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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
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Six Numbered Cubes

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

Age
7 to 11
Challenge level
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Try adding fractions using A4 paper.

Fitted
problem
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Fitted

Age
7 to 11
Challenge level
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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
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Curious number

Age
7 to 11
Challenge level
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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
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Ribbon Squares

Age
7 to 11
Challenge level
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What is the largest 'ribbon square' you can make? And the smallest? How many different squares can you make altogether?