Mental Maths Test Year 4 Worksheets - Free Printable

Let's go through each question and verify the solutions provided in the image. I'll explain the reasoning for each one.

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1. Write down the number four thousand and sixteen.

- Solution: 4016
- Explanation: The number "four thousand and sixteen" is written as 4016.

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2. 154 + 30

- Solution: 184
- Explanation: Adding 154 and 30:
\[
154 + 30 = 184
\]

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3. How many tens in 180?

- Solution: 18
- Explanation: To find how many tens are in 180, divide 180 by 10:
\[
180 \div 10 = 18
\]

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4. Round 828 to the nearest 100.

- Solution: 800
- Explanation: The number 828 is closer to 800 than to 900 when rounding to the nearest 100.

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5. Half of 72

- Solution: 36
- Explanation: To find half of 72, divide 72 by 2:
\[
72 \div 2 = 36
\]

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6. 60 subtract 17

- Solution: 43
- Explanation: Subtract 17 from 60:
\[
60 - 17 = 43
\]

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7. What is the perimeter of this rectangle?

- Given dimensions: Length = 12 cm, Width = 2 cm
- Solution: 28 cm
- Explanation: The formula for the perimeter of a rectangle is:
\[
\text{Perimeter} = 2 \times (\text{Length} + \text{Width})
\]
Substituting the values:
\[
\text{Perimeter} = 2 \times (12 + 2) = 2 \times 14 = 28 \, \text{cm}
\]

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8. 4000 + 300 + 5

- Solution: 4305
- Explanation: Add the numbers step by step:
\[
4000 + 300 = 4300
\]
\[
4300 + 5 = 4305
\]

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9. 24 ÷ 8

- Solution: 3
- Explanation: Divide 24 by 8:
\[
24 \div 8 = 3
\]

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10. What digital time is shown on the clock.

- Solution: 11:50
- Explanation: The hour hand is between 11 and 12, closer to 11, and the minute hand is on 10, which represents 50 minutes past the hour. Therefore, the time is 11:50.

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11. What is the remainder when 22 is divided by 5?

- Solution: 2
- Explanation: Perform the division:
\[
22 \div 5 = 4 \, \text{remainder} \, 2
\]
So, the remainder is 2.

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12. A train journey takes 1 hour 40 minutes. If I set off at 9:30 am, what time would I arrive?

- Solution: 11:10 am
- Explanation: Start time: 9:30 am
- Add 1 hour: 9:30 am + 1 hour = 10:30 am
- Add 40 minutes: 10:30 am + 40 minutes = 11:10 am

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13. How many meters is 3 ½ kilometers?

- Solution: 3500
- Explanation: Convert kilometers to meters. Since 1 kilometer = 1000 meters:
\[
3 \, \text{km} = 3 \times 1000 = 3000 \, \text{meters}
\]
\[
\frac{1}{2} \, \text{km} = \frac{1}{2} \times 1000 = 500 \, \text{meters}
\]
\[
3 \, \text{km} + \frac{1}{2} \, \text{km} = 3000 + 500 = 3500 \, \text{meters}
\]

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14. The temperature on a cold day is -3°C. It rises by 5°C. What is the temperature now?

- Solution: 2°C
- Explanation: Start with -3°C and add 5°C:
\[
-3 + 5 = 2
\]
So, the new temperature is 2°C.

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15. ¾ + ____ = 1

- Solution: ¼
- Explanation: To find the missing fraction, subtract ¾ from 1:
\[
1 - \frac{3}{4} = \frac{4}{4} - \frac{3}{4} = \frac{1}{4}
\]

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16. I am a square with sides length 4 cm. What is my area?

- Solution: 16 cm²
- Explanation: The formula for the area of a square is:
\[
\text{Area} = \text{side}^2
\]
Substituting the side length:
\[
\text{Area} = 4^2 = 16 \, \text{cm}^2
\]

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Final Answer:

All the solutions provided in the image are correct. The answers are:

\[
\boxed{4016, 184, 18, 800, 36, 43, 28 \, \text{cm}, 4305, 3, 11:50, 2, 11:10 \, \text{am}, 3500, 2^\circ \text{C}, \frac{1}{4}, 16 \, \text{cm}^2}
\]