The document provides instructions for solving percentage problems involving shading portions of grids for KS2 math SATs exams. Students are asked to shade in a given percentage of squares in a grid by first counting the total number of squares and then calculating the percentage of that total to determine how many squares to shade. Examples are provided for shading 20%, 25%, and other percentages of grids with step-by-step workings shown. Practice problems are then given for students to try on their own.
How to Calculate Percentages of Shapes for KS2 Maths SATs
1. How To Do KS2 Maths SATs
Type Questions
(Paper B – Calculator Allowed)
Percentages 1: Shading In
A Percentage Of A Shape
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2. In a SATs Paper B you might be asked to shade in a
percentage of a shape:
4. For example shade in 20% of this grid:
First count the number of squares.
5. For example shade in 20% of this grid:
First count the number of squares. There are 30 in this example.
6. For example shade in 20% of this grid:
First count the number of squares. There are 30 in this example.
You therefore need to find 20% of 30
7. For example shade in 20% of this grid:
First count the number of squares. There are 30 in this example.
You therefore need to find 20% of 30
To find 20% of 30, you need to remember that 20% is equivalent to 1/5
8. For example shade in 20% of this grid:
First count the number of squares. There are 30 in this example.
You therefore need to find 20% of 30
To find 20% of 30, you need to remember that 20% is equivalent to 1/5
So 20% of 30 = 1/5 of 30
9. For example shade in 20% of this grid:
First count the number of squares. There are 30 in this example.
You therefore need to find 20% of 30
To find 20% of 30, you need to remember that 20% is equivalent to 1/5
So 20% of 30 = 1/5 of 30 = 6
10. For example shade in 20% of this grid:
First count the number of squares. There are 30 in this example.
You therefore need to find 20% of 30
To find 20% of 30, you need to remember that 20% is equivalent to 1/5
So 20% of 30 = 1/5 of 30 = 6
Therefore you need to shade in 6 of the squares.
11. For example shade in 20% of this grid:
First count the number of squares. There are 30 in this example.
You therefore need to find 20% of 30
To find 20% of 30, you need to remember that 20% is equivalent to 1/5
So 20% of 30 = 1/5 of 30 = 6
Therefore you need to shade in 6 of the squares.
13. Another example would be, shade in 25% of this grid:
First count the number of squares.
14. Another example would be, shade in 25% of this grid:
First count the number of squares. There are 24 in this example.
15. Another example would be, shade in 25% of this grid:
First count the number of squares. There are 24 in this example.
You therefore need to find 25% of 24
16. Another example would be, shade in 25% of this grid:
First count the number of squares. There are 24 in this example.
You therefore need to find 25% of 24
To find 25% of 24, you need to remember that 25% is equivalent to 1/4
17. Another example would be, shade in 25% of this grid:
First count the number of squares. There are 24 in this example.
You therefore need to find 25% of 24
To find 25% of 24, you need to remember that 25% is equivalent to 1/4
So 25% of 24 = 1/4 of 24
18. Another example would be, shade in 25% of this grid:
First count the number of squares. There are 24 in this example.
You therefore need to find 25% of 24
To find 25% of 24, you need to remember that 25% is equivalent to 1/4
So 25% of 24 = 1/4 of 24 = 6
19. Another example would be, shade in 25% of this grid:
First count the number of squares. There are 24 in this example.
You therefore need to find 25% of 24
To find 25% of 24, you need to remember that 25% is equivalent to 1/4
So 25% of 24 = 1/4 of 24 = 6
Therefore you need to shade in 6 of the squares.
20. Another example would be, shade in 25% of this grid:
First count the number of squares. There are 24 in this example.
You therefore need to find 25% of 24
To find 25% of 24, you need to remember that 25% is equivalent to 1/4
So 25% of 24 = 1/4 of 24 = 6
Therefore you need to shade in 6 of the squares.
21. Now, try some by yourself to see if you have understood. Click to
reveal the answer:
1)
Shade in 10% of this grid:
22. Now, try some by yourself to see if you have understood. Click to
reveal the answer:
1)
Shade in 10% of this grid:
10% of 30 = 3
23. Now, try some by yourself to see if you have understood. Click to
reveal the answer:
1)
Shade in 10% of this grid:
10% of 30 = 3
24. Now, try some by yourself to see if you have understood. Click to
reveal the answer:
2)
Shade in 50% of this grid:
25. Now, try some by yourself to see if you have understood. Click to
reveal the answer:
2)
Shade in 50% of this grid:
50% of 36 = 18
26. Now, try some by yourself to see if you have understood. Click to
reveal the answer:
2)
Shade in 50% of this grid:
50% of 36 = 18
27. Now, try some by yourself to see if you have understood. Click to
reveal the answer:
3)
Shade in 30% of this grid:
28. Now, try some by yourself to see if you have understood. Click to
reveal the answer:
3)
Shade in 30% of this grid:
30% of 30 = 9
29. Now, try some by yourself to see if you have understood. Click to
reveal the answer:
3)
Shade in 30% of this grid:
30% of 30 = 9
30. Now, try some by yourself to see if you have understood. Click to
reveal the answer:
4)
Shade in 75% of this grid:
31. Now, try some by yourself to see if you have understood. Click to
reveal the answer:
4)
Shade in 75% of this grid:
75% of 20 = 15
32. Now, try some by yourself to see if you have understood. Click to
reveal the answer:
4)
Shade in 75% of this grid:
75% of 20 = 15
33. Now, try some by yourself to see if you have understood. Click to
reveal the answer:
5) Shade in 90% of this grid:
34. Now, try some by yourself to see if you have understood. Click to
reveal the answer:
5) Shade in 90% of this grid:
90% of 40 = 36
35. Now, try some by yourself to see if you have understood. Click to
reveal the answer:
5) Shade in 90% of this grid:
90% of 40 = 36
36. That’s it for now......
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