Mental Maths Tests Year 6 Worksheets - Free Printable
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Step-by-step solution for: Mental Maths Tests Year 6 Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Mental Maths Tests Year 6 Worksheets
Let’s go through each problem one by one, step by step. I’ll solve them carefully and check my work before giving the final answers.
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1) 7 + (8 × 6)
First, do multiplication inside parentheses:
8 × 6 = 48
Then add 7:
7 + 48 = 55
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2) ⅗ – ³⁄₁₀
Find a common denominator — 10 works.
⅗ = 6/10
So: 6/10 – 3/10 = 3/10
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3) Write 0.7 as a fraction
0.7 means 7 tenths → 7/10
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4) ⅓ of 21 = ___ – 10
First, find ⅓ of 21:
21 ÷ 3 = 7
So: 7 = ___ – 10
Add 10 to both sides: ___ = 7 + 10 = 17
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5) Round 4.639 to 1dp
Look at the second decimal place (hundredths): it’s 3, which is less than 5, so we don’t round up.
→ 4.6
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6) What is the range of: 21, 35, 17, 27, 32, 12 and 30
Range = biggest – smallest
Biggest = 35, Smallest = 12
35 – 12 = 23
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7) Find ⅔ of 36
Divide 36 by 3 → 12
Multiply by 2 → 12 × 2 = 24
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8) Which of these numbers is prime? 33, 45, 57, 69, 53, 49
Prime = only divisible by 1 and itself.
Check each:
- 33 = 3×11 → not prime
- 45 = 5×9 → not prime
- 57 = 3×19 → not prime
- 69 = 3×23 → not prime
- 53 → let’s test: not divisible by 2,3,5,7 → yes, prime
- 49 = 7×7 → not prime
Answer: 53
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9) Difference between 6000 and 60
6000 – 60 = 5940
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10) (1 foot = 12 inches) Which two measurements add up to 3 feet?
3 feet = 36 inches
Try combinations:
- 14 inches + 2 feet 1 inch = 14 + 25 = 39 → too big
- 14 + 1 foot 7 inches = 14 + 19 = 33 → no
- 14 + 11 = 25 → no
- 2 feet 1 inch (25) + 1 foot 7 inches (19) = 44 → no
Wait — maybe I misread. Let me list all in inches:
- 14 inches
- 2 feet 1 inch = 24 + 1 = 25 inches
- 1 foot 7 inches = 12 + 7 = 19 inches
- 11 inches
Now try pairs:
14 + 25 = 39 → no
14 + 19 = 33 → no
14 + 11 = 25 → no
25 + 19 = 44 → no
25 + 11 = 36 → YES!
19 + 11 = 30 → no
So: 2 feet 1 inch and 11 inches → 25 + 11 = 36 inches = 3 feet
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11) How many months in ¾ of a year?
Year = 12 months
¾ × 12 = (12 ÷ 4) × 3 = 3 × 3 = 9 months
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12) Fill in missing operations: 5 □ 6 □ 3 □ 2 = 8
Try different combos.
What if: 5 + 6 - 3 × 2? Wait, order of operations matters.
Better to try without PEMDAS first? But usually we follow it.
Try: 5 + 6 = 11; 11 - 3 = 8; 8 × 2 = 16 → no
Try: 5 × 6 = 30; 30 ÷ 3 = 10; 10 - 2 = 8 → YES!
So: 5 × 6 ÷ 3 - 2 = 30 ÷ 3 = 10; 10 - 2 = 8
Operations: × , ÷ , -
But let’s write it clearly:
5 × 6 ÷ 3 - 2 = 8 → correct.
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13) Rectangular pool 6m by 4m. Area?
Area = length × width = 6 × 4 = 24 square metres
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14) What 3D shape does this net make?
The net shows 4 triangles connected — that’s a triangular pyramid (also called tetrahedron).
Actually, looking again: it’s a large triangle divided into 4 smaller equilateral triangles — that’s the net of a tetrahedron, which is a triangular pyramid with 4 triangular faces.
Answer: Triangular pyramid or Tetrahedron
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15) Missing angle on straight line with 130°
Straight line = 180°
So missing angle = 180 - 130 = 50°
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16) Two numbers: sum=15, product=26. What are they?
Think: what two numbers multiply to 26 and add to 15?
Factors of 26: 1 & 26 → sum 27
2 & 13 → sum 15 → YES!
Answer: 2 and 13
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17) Eat 1/3 of box, 16 left. How many at start?
If you ate 1/3, then 2/3 are left.
So 2/3 of total = 16
Then 1/3 = 8
Total = 8 × 3 = 24
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18) If 2x + 1 = 7, what is x?
Subtract 1 from both sides:
2x = 6
Divide by 2:
x = 3
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Final Answer:
1) 55
2) 3/10
3) 7/10
4) 17
5) 4.6
6) 23
7) 24
8) 53
9) 5940
10) 2 feet 1 inch and 11 inches
11) 9
12) × , ÷ , -
13) 24 m²
14) Triangular pyramid (or Tetrahedron)
15) 50°
16) 2 and 13
17) 24
18) 3
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1) 7 + (8 × 6)
First, do multiplication inside parentheses:
8 × 6 = 48
Then add 7:
7 + 48 = 55
---
2) ⅗ – ³⁄₁₀
Find a common denominator — 10 works.
⅗ = 6/10
So: 6/10 – 3/10 = 3/10
---
3) Write 0.7 as a fraction
0.7 means 7 tenths → 7/10
---
4) ⅓ of 21 = ___ – 10
First, find ⅓ of 21:
21 ÷ 3 = 7
So: 7 = ___ – 10
Add 10 to both sides: ___ = 7 + 10 = 17
---
5) Round 4.639 to 1dp
Look at the second decimal place (hundredths): it’s 3, which is less than 5, so we don’t round up.
→ 4.6
---
6) What is the range of: 21, 35, 17, 27, 32, 12 and 30
Range = biggest – smallest
Biggest = 35, Smallest = 12
35 – 12 = 23
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7) Find ⅔ of 36
Divide 36 by 3 → 12
Multiply by 2 → 12 × 2 = 24
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8) Which of these numbers is prime? 33, 45, 57, 69, 53, 49
Prime = only divisible by 1 and itself.
Check each:
- 33 = 3×11 → not prime
- 45 = 5×9 → not prime
- 57 = 3×19 → not prime
- 69 = 3×23 → not prime
- 53 → let’s test: not divisible by 2,3,5,7 → yes, prime
- 49 = 7×7 → not prime
Answer: 53
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9) Difference between 6000 and 60
6000 – 60 = 5940
---
10) (1 foot = 12 inches) Which two measurements add up to 3 feet?
3 feet = 36 inches
Try combinations:
- 14 inches + 2 feet 1 inch = 14 + 25 = 39 → too big
- 14 + 1 foot 7 inches = 14 + 19 = 33 → no
- 14 + 11 = 25 → no
- 2 feet 1 inch (25) + 1 foot 7 inches (19) = 44 → no
Wait — maybe I misread. Let me list all in inches:
- 14 inches
- 2 feet 1 inch = 24 + 1 = 25 inches
- 1 foot 7 inches = 12 + 7 = 19 inches
- 11 inches
Now try pairs:
14 + 25 = 39 → no
14 + 19 = 33 → no
14 + 11 = 25 → no
25 + 19 = 44 → no
25 + 11 = 36 → YES!
19 + 11 = 30 → no
So: 2 feet 1 inch and 11 inches → 25 + 11 = 36 inches = 3 feet
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11) How many months in ¾ of a year?
Year = 12 months
¾ × 12 = (12 ÷ 4) × 3 = 3 × 3 = 9 months
---
12) Fill in missing operations: 5 □ 6 □ 3 □ 2 = 8
Try different combos.
What if: 5 + 6 - 3 × 2? Wait, order of operations matters.
Better to try without PEMDAS first? But usually we follow it.
Try: 5 + 6 = 11; 11 - 3 = 8; 8 × 2 = 16 → no
Try: 5 × 6 = 30; 30 ÷ 3 = 10; 10 - 2 = 8 → YES!
So: 5 × 6 ÷ 3 - 2 = 30 ÷ 3 = 10; 10 - 2 = 8
Operations: × , ÷ , -
But let’s write it clearly:
5 × 6 ÷ 3 - 2 = 8 → correct.
---
13) Rectangular pool 6m by 4m. Area?
Area = length × width = 6 × 4 = 24 square metres
---
14) What 3D shape does this net make?
The net shows 4 triangles connected — that’s a triangular pyramid (also called tetrahedron).
Actually, looking again: it’s a large triangle divided into 4 smaller equilateral triangles — that’s the net of a tetrahedron, which is a triangular pyramid with 4 triangular faces.
Answer: Triangular pyramid or Tetrahedron
---
15) Missing angle on straight line with 130°
Straight line = 180°
So missing angle = 180 - 130 = 50°
---
16) Two numbers: sum=15, product=26. What are they?
Think: what two numbers multiply to 26 and add to 15?
Factors of 26: 1 & 26 → sum 27
2 & 13 → sum 15 → YES!
Answer: 2 and 13
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17) Eat 1/3 of box, 16 left. How many at start?
If you ate 1/3, then 2/3 are left.
So 2/3 of total = 16
Then 1/3 = 8
Total = 8 × 3 = 24
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18) If 2x + 1 = 7, what is x?
Subtract 1 from both sides:
2x = 6
Divide by 2:
x = 3
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Final Answer:
1) 55
2) 3/10
3) 7/10
4) 17
5) 4.6
6) 23
7) 24
8) 53
9) 5940
10) 2 feet 1 inch and 11 inches
11) 9
12) × , ÷ , -
13) 24 m²
14) Triangular pyramid (or Tetrahedron)
15) 50°
16) 2 and 13
17) 24
18) 3
Parent Tip: Review the logic above to help your child master the concept of year 6 maths worksheet.
