Grade 4 Mental Maths Test | WCED ePortal - Free Printable
Educational worksheet: Grade 4 Mental Maths Test | WCED ePortal. Download and print for classroom or home learning activities.
JPG
611×891
259.9 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #1095870
⭐
Show Answer Key & Explanations
Step-by-step solution for: Grade 4 Mental Maths Test | WCED ePortal
▼
Show Answer Key & Explanations
Step-by-step solution for: Grade 4 Mental Maths Test | WCED ePortal
Let's solve the problems step by step:
---
#### 1. Four tens + 23 = ______
- Four tens = \( 4 \times 10 = 40 \)
- Adding 23: \( 40 + 23 = 63 \)
Answer: 63
---
#### 2. Write the largest number you can with the figures 2, 1, 3, and 5.
- To form the largest number, arrange the digits in descending order: 5, 3, 2, 1.
- The largest number is 5321.
Answer: 5321
---
#### 3. Shade the fraction \( \frac{1}{5} \) in one of these diagrams.
- We need to shade \( \frac{1}{5} \) of the total squares in each diagram.
- (a) has 5 squares: Shade 1 square.
- (b) has 9 squares: Shade \( \frac{9}{5} \approx 1.8 \), but since we can only shade whole squares, shade 1 square.
- (c) has 6 squares: Shade \( \frac{6}{5} \approx 1.2 \), so shade 1 square.
Answer: (Any one of the diagrams shaded as described above.)
---
#### 4. Complete the last basic number fact in the set below:
\[
\begin{aligned}
&9 \times 4 = 36 \\
&36 \div 4 = 9 \\
&4 \times 9 = 36 \\
&\square + \square = \square
\end{aligned}
\]
- The pattern involves basic arithmetic operations. The missing operation could be addition:
- \( 9 + 4 = 13 \)
Answer: 9 + 4 = 13
---
#### 5. Write in figures five thousand and twelve.
- Five thousand = 5000
- Twelve = 12
- Combined: 5000 + 12 = 5012
Answer: 5012
---
#### 6. Work out this sum: \( \left(\frac{1}{2}\right) \text{of } 96 + 2 = \)
- \( \frac{1}{2} \) of 96 = \( \frac{96}{2} = 48 \)
- Adding 2: \( 48 + 2 = 50 \)
Answer: 50
---
#### 7. ▼▼□▲▲□▼______
- The pattern alternates between two triangles (▼), a square (□), two triangles (▲), a square (□), and repeats.
- The next shapes are: ▼ ▲ ▲ □
Answer: ▼ ▲ ▲ □
---
#### 8. Use the number patterns to complete the last line:
\[
\begin{aligned}
&3 \times 4 = 10 + 2 \\
&3 \times 5 = 12 + 3 \\
&3 \times 6 = 14 + 4 \\
&3 \times 7 = 16 + 5 \\
&\square \times \square = \square + \square
\end{aligned}
\]
- The pattern shows:
- \( 3 \times n = (2n + 4) + (n - 2) \)
- For \( n = 8 \):
- \( 3 \times 8 = 24 \)
- \( 2 \times 8 + 4 = 20 \)
- \( 8 - 2 = 6 \)
- So, \( 3 \times 8 = 20 + 6 \)
Answer: 3 × 8 = 20 + 6
---
#### 9. Fill in the missing numbers in this clockwise pattern.
- The pattern appears to involve multiplication or division by specific factors.
- Starting from 6 and moving clockwise:
- \( 6 \times 7 = 42 \)
- \( 42 \div 2 = 21 \)
- \( 21 \times 2 = 42 \)
- \( 42 \div 3 = 14 \)
- \( 14 \times 3 = 42 \)
- \( 42 \div 6 = 7 \)
- \( 7 \times 6 = 42 \)
The missing numbers are: 21, 14, 7.
Answer: 21, 14, 7
---
#### 10. \( \square \div 4 = 5 \)
- Let \( x \) be the missing number.
- \( x \div 4 = 5 \)
- \( x = 5 \times 4 = 20 \)
Answer: 20
---
#### 11. 37 rounded off to the nearest 10 = ______
- 37 is closer to 40 than to 30 when rounding to the nearest 10.
Answer: 40
---
#### 12. Toffees are 5¢ each but if I buy a packet of ten for 35¢, I save myself ______ cents.
- Cost of 10 toffees at 5¢ each: \( 10 \times 5 = 50 \) cents.
- Cost of a packet of 10 toffees: 35¢.
- Savings: \( 50 - 35 = 15 \) cents.
Answer: 15
---
#### 13. \( 5 \times \square = 3 \times 10 \)
- Simplify the right-hand side: \( 3 \times 10 = 30 \)
- Solve for the missing number: \( 5 \times x = 30 \)
- \( x = \frac{30}{5} = 6 \)
Answer: 6
---
#### 14. When zero is taken away from a number, the answer is always:
- Subtracting zero from any number leaves the number unchanged.
Answer: (d) the same as the number
---
#### 15. XXIV – XVIII = ______ (Give the answer in Roman numerals.)
- Convert to Arabic numerals:
- XXIV = 24
- XVIII = 18
- Subtract: \( 24 - 18 = 6 \)
- Convert 6 back to Roman numerals: VI
Answer: VI
---
#### 16. Tom has ______ times as many marbles as Amy but only 10 more than ______ on this bar graph.
- From the bar graph:
- Amy has 10 marbles.
- Tom has 30 marbles.
- Roy has 40 marbles.
- Kate has 60 marbles.
- Tom has \( \frac{30}{10} = 3 \) times as many marbles as Amy.
- Tom has 10 more marbles than Roy (since Roy has 20 marbles).
Answer: 3, Roy
---
#### 17. This diagram shows that the fraction \( \frac{1}{2} \) is the same as the fraction ______
- The diagram shows:
- Halves: 2 parts shaded out of 4.
- Quarters: 4 parts shaded out of 8.
- Both represent \( \frac{1}{2} \).
Answer: \( \frac{2}{4} \) or \( \frac{4}{8} \)
---
\[
\boxed{
\begin{array}{l}
1. 63 \\
2. 5321 \\
3. \text{(Shade 1 square in any diagram)} \\
4. 9 + 4 = 13 \\
5. 5012 \\
6. 50 \\
7. ▼ ▲ ▲ □ \\
8. 3 \times 8 = 20 + 6 \\
9. 21, 14, 7 \\
10. 20 \\
11. 40 \\
12. 15 \\
13. 6 \\
14. \text{(d) the same as the number} \\
15. VI \\
16. 3, \text{Roy} \\
17. \frac{2}{4} \text{ or } \frac{4}{8}
\end{array}
}
\]
---
Section 1: Mental Maths
#### 1. Four tens + 23 = ______
- Four tens = \( 4 \times 10 = 40 \)
- Adding 23: \( 40 + 23 = 63 \)
Answer: 63
---
#### 2. Write the largest number you can with the figures 2, 1, 3, and 5.
- To form the largest number, arrange the digits in descending order: 5, 3, 2, 1.
- The largest number is 5321.
Answer: 5321
---
#### 3. Shade the fraction \( \frac{1}{5} \) in one of these diagrams.
- We need to shade \( \frac{1}{5} \) of the total squares in each diagram.
- (a) has 5 squares: Shade 1 square.
- (b) has 9 squares: Shade \( \frac{9}{5} \approx 1.8 \), but since we can only shade whole squares, shade 1 square.
- (c) has 6 squares: Shade \( \frac{6}{5} \approx 1.2 \), so shade 1 square.
Answer: (Any one of the diagrams shaded as described above.)
---
#### 4. Complete the last basic number fact in the set below:
\[
\begin{aligned}
&9 \times 4 = 36 \\
&36 \div 4 = 9 \\
&4 \times 9 = 36 \\
&\square + \square = \square
\end{aligned}
\]
- The pattern involves basic arithmetic operations. The missing operation could be addition:
- \( 9 + 4 = 13 \)
Answer: 9 + 4 = 13
---
#### 5. Write in figures five thousand and twelve.
- Five thousand = 5000
- Twelve = 12
- Combined: 5000 + 12 = 5012
Answer: 5012
---
#### 6. Work out this sum: \( \left(\frac{1}{2}\right) \text{of } 96 + 2 = \)
- \( \frac{1}{2} \) of 96 = \( \frac{96}{2} = 48 \)
- Adding 2: \( 48 + 2 = 50 \)
Answer: 50
---
#### 7. ▼▼□▲▲□▼______
- The pattern alternates between two triangles (▼), a square (□), two triangles (▲), a square (□), and repeats.
- The next shapes are: ▼ ▲ ▲ □
Answer: ▼ ▲ ▲ □
---
#### 8. Use the number patterns to complete the last line:
\[
\begin{aligned}
&3 \times 4 = 10 + 2 \\
&3 \times 5 = 12 + 3 \\
&3 \times 6 = 14 + 4 \\
&3 \times 7 = 16 + 5 \\
&\square \times \square = \square + \square
\end{aligned}
\]
- The pattern shows:
- \( 3 \times n = (2n + 4) + (n - 2) \)
- For \( n = 8 \):
- \( 3 \times 8 = 24 \)
- \( 2 \times 8 + 4 = 20 \)
- \( 8 - 2 = 6 \)
- So, \( 3 \times 8 = 20 + 6 \)
Answer: 3 × 8 = 20 + 6
---
Section 2: Additional Problems
#### 9. Fill in the missing numbers in this clockwise pattern.
- The pattern appears to involve multiplication or division by specific factors.
- Starting from 6 and moving clockwise:
- \( 6 \times 7 = 42 \)
- \( 42 \div 2 = 21 \)
- \( 21 \times 2 = 42 \)
- \( 42 \div 3 = 14 \)
- \( 14 \times 3 = 42 \)
- \( 42 \div 6 = 7 \)
- \( 7 \times 6 = 42 \)
The missing numbers are: 21, 14, 7.
Answer: 21, 14, 7
---
#### 10. \( \square \div 4 = 5 \)
- Let \( x \) be the missing number.
- \( x \div 4 = 5 \)
- \( x = 5 \times 4 = 20 \)
Answer: 20
---
#### 11. 37 rounded off to the nearest 10 = ______
- 37 is closer to 40 than to 30 when rounding to the nearest 10.
Answer: 40
---
#### 12. Toffees are 5¢ each but if I buy a packet of ten for 35¢, I save myself ______ cents.
- Cost of 10 toffees at 5¢ each: \( 10 \times 5 = 50 \) cents.
- Cost of a packet of 10 toffees: 35¢.
- Savings: \( 50 - 35 = 15 \) cents.
Answer: 15
---
#### 13. \( 5 \times \square = 3 \times 10 \)
- Simplify the right-hand side: \( 3 \times 10 = 30 \)
- Solve for the missing number: \( 5 \times x = 30 \)
- \( x = \frac{30}{5} = 6 \)
Answer: 6
---
#### 14. When zero is taken away from a number, the answer is always:
- Subtracting zero from any number leaves the number unchanged.
Answer: (d) the same as the number
---
#### 15. XXIV – XVIII = ______ (Give the answer in Roman numerals.)
- Convert to Arabic numerals:
- XXIV = 24
- XVIII = 18
- Subtract: \( 24 - 18 = 6 \)
- Convert 6 back to Roman numerals: VI
Answer: VI
---
#### 16. Tom has ______ times as many marbles as Amy but only 10 more than ______ on this bar graph.
- From the bar graph:
- Amy has 10 marbles.
- Tom has 30 marbles.
- Roy has 40 marbles.
- Kate has 60 marbles.
- Tom has \( \frac{30}{10} = 3 \) times as many marbles as Amy.
- Tom has 10 more marbles than Roy (since Roy has 20 marbles).
Answer: 3, Roy
---
#### 17. This diagram shows that the fraction \( \frac{1}{2} \) is the same as the fraction ______
- The diagram shows:
- Halves: 2 parts shaded out of 4.
- Quarters: 4 parts shaded out of 8.
- Both represent \( \frac{1}{2} \).
Answer: \( \frac{2}{4} \) or \( \frac{4}{8} \)
---
Final Answers:
\[
\boxed{
\begin{array}{l}
1. 63 \\
2. 5321 \\
3. \text{(Shade 1 square in any diagram)} \\
4. 9 + 4 = 13 \\
5. 5012 \\
6. 50 \\
7. ▼ ▲ ▲ □ \\
8. 3 \times 8 = 20 + 6 \\
9. 21, 14, 7 \\
10. 20 \\
11. 40 \\
12. 15 \\
13. 6 \\
14. \text{(d) the same as the number} \\
15. VI \\
16. 3, \text{Roy} \\
17. \frac{2}{4} \text{ or } \frac{4}{8}
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of math test 4.
