This document provides instructions for KS2 maths SATs questions involving simplifying fractions and determining which diagrams have a given fraction shaded. It explains that students will be asked to look at grids with some areas shaded and identify which diagrams have exactly 1/2, 1/4, or 1/3 of the total area shaded. The document walks through examples of counting total areas, simplifying fractions if possible, and marking diagrams as correct or incorrect. It includes practice problems for students to work through.

1. How To Do KS2 Maths SATs
Type Questions
(Paper B – Calculator Allowed)
Fractions 2: Simplifying
The Fraction Of A Grid
That Is Shaded
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2. In a SATs Paper B you might be asked to look at a group of
shaded shapes and decide which ones are equivalent to a
given fraction and which ones aren’t:

3. For example: Here are 4 diagrams. Put a tick by the diagram
if exactly ½ of it is shaded. Put a cross if it is not.
Firstly count up the number of tiles on the grid.
There are 30.

4. First, work out how much of the fraction is shaded. See
presentation 1, if you are not sure what to do.
Firstly count up the number of tiles on the grid.
There are 30.

5. First, work out how much of the fraction is shaded. See
presentation 1, if you are not sure what to do.
8
16
Firstly count up the number of tiles on the grid.
There are 30.

6. First, work out how much of the fraction is shaded. See
presentation 1, if you are not sure what to do.
8
5
16
12
Firstly count up the number of tiles on the grid.
There are 30.

7. First, work out how much of the fraction is shaded. See
presentation 1, if you are not sure what to do.
8
5
16
12
Firstly count up the number of tiles on the grid.
There are 30.
4
8

8. First, work out how much of the fraction is shaded. See
presentation 1, if you are not sure what to do.
8
5
16
12
Firstly count up the number of tiles on the grid.
There are 30.
4
9
8
20

9. Then try to simplify the fractions by looking for a number that
will divide into both the numerator and the denominator:
8
5
16
12
Firstly count up the number of tiles on the grid.
There are 30.
4
9
8
20

10. Then try to simplify the fractions by looking for a number that
will divide into both the numerator and the denominator:
8
8
1
5
16
2
12
8
Firstly count up the number of tiles on the grid.
There are 30.
4
9
8
20

11. Then try to simplify the fractions by looking for a number that
will divide into both the numerator and the denominator:
8
8
1
5
16
2
12
Can’t be
simplified
8
Firstly count up the number of tiles on the grid.
There are 30.
4
9
8
20
X

12. Then try to simplify the fractions by looking for a number that
will divide into both the numerator and the denominator:
8
8
1
5
16
2
12
Can’t be
simplified
8
Firstly count up the number of tiles on the grid.
There are 30.
4
4
1
9
8
2
20
4
X

13. Then try to simplify the fractions by looking for a number that
will divide into both the numerator and the denominator:
8
8
1
5
16
2
12
Can’t be
simplified
X
8
Firstly count up the number of tiles on the grid.
There are 30.
4
4
1
9
8
2
20
4
Can’t be
simplified
X

14. Now, try some by yourself. Click to reveal the correct answer
Firstly count up the number of tiles on the grid.
There are 30.

15. Here are 4 diagrams. Put a tick by the diagram if exactly 1/4
of it is shaded. Put a cross if it is not.
Firstly count up the number of tiles on the grid.
There are 30.

16. Here are 4 diagrams. Put a tick by the diagram if exactly 1/4
of it is shaded. Put a cross if it is not.
4
16
Firstly count up the number of tiles on the grid.
There are 30.

17. Here are 4 diagrams. Put a tick by the diagram if exactly 1/4
of it is shaded. Put a cross if it is not.
4
4
1
16
4
4
Firstly count up the number of tiles on the grid.
There are 30.

18. Here are 4 diagrams. Put a tick by the diagram if exactly 1/4
of it is shaded. Put a cross if it is not.
4
4
1
3
16
4
12
4
Firstly count up the number of tiles on the grid.
There are 30.

19. Here are 4 diagrams. Put a tick by the diagram if exactly 1/4
of it is shaded. Put a cross if it is not.
3
4
4
1
3
1
16
4
12
4
4
3
Firstly count up the number of tiles on the grid.
There are 30.

20. Here are 4 diagrams. Put a tick by the diagram if exactly 1/4
of it is shaded. Put a cross if it is not.
3
4
4
1
3
1
16
4
12
4
4
3
Firstly count up the number of tiles on the grid.
There are 30.
2
8

21. Here are 4 diagrams. Put a tick by the diagram if exactly 1/4
of it is shaded. Put a cross if it is not.
3
4
4
1
3
1
16
4
12
4
3
4
Firstly count up the number of tiles on the grid.
There are 30.
2
2
1
8
4
2

22. Here are 4 diagrams. Put a tick by the diagram if exactly 1/4
of it is shaded. Put a cross if it is not.
3
4
4
1
3
1
16
4
12
4
3
4
Firstly count up the number of tiles on the grid.
There are 30.
2
2
1
4
8
4
15
2

23. Here are 4 diagrams. Put a tick by the diagram if exactly 1/4
of it is shaded. Put a cross if it is not.
3
4
4
1
3
1
16
4
12
4
3
4
Firstly count up the number of tiles on the grid.
There are 30.
2
2
1
4
8
4
15
2
Can’t be
simplified
X

24. Again, here are 4 diagrams. Put a tick by the diagram if
exactly 1/3 of it is shaded. Put a cross if it is not.
Firstly count up the number of tiles on the grid.
There are 30.

25. Again, here are 4 diagrams. Put a tick by the diagram if
exactly 1/3 of it is shaded. Put a cross if it is not.
3
16
Firstly count up the number of tiles on the grid.
There are 30.

26. Again, here are 4 diagrams. Put a tick by the diagram if
exactly 1/3 of it is shaded. Put a cross if it is not.
3
16
Can’t be X
simplified
Firstly count up the number of tiles on the grid.
There are 30.

27. Again, here are 4 diagrams. Put a tick by the diagram if
exactly 1/3 of it is shaded. Put a cross if it is not.
3
16
Can’t be X
simplified
4
12
Firstly count up the number of tiles on the grid.
There are 30.

28. Again, here are 4 diagrams. Put a tick by the diagram if
exactly 1/3 of it is shaded. Put a cross if it is not.
4
3
16
Can’t be X
simplified
4
1
12
3
4
Firstly count up the number of tiles on the grid.
There are 30.

29. Again, here are 4 diagrams. Put a tick by the diagram if
exactly 1/3 of it is shaded. Put a cross if it is not.
4
3
16
Can’t be X
simplified
4
1
12
3
4
Firstly count up the number of tiles on the grid.
There are 30.
3
8

30. Again, here are 4 diagrams. Put a tick by the diagram if
exactly 1/3 of it is shaded. Put a cross if it is not.
4
3
16
Can’t be X
simplified
4
1
12
3
4
Firstly count up the number of tiles on the grid.
There are 30.
3
8
Can’t be X
simplified

31. Again, here are 4 diagrams. Put a tick by the diagram if
exactly 1/3 of it is shaded. Put a cross if it is not.
4
3
16
Can’t be X
simplified
4
1
12
3
4
Firstly count up the number of tiles on the grid.
There are 30.
3
8
Can’t be X
simplified
5
15

32. Again, here are 4 diagrams. Put a tick by the diagram if
exactly 1/3 of it is shaded. Put a cross if it is not.
4
3
16
Can’t be X
simplified
4
1
12
3
4
Firstly count up the number of tiles on the grid.
There are 30.
5
3
8
Can’t be X
simplified
5
1
15
3
5

33. That’s it for now......
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