Mental Maths Test Year 4 Worksheets - Free Printable

Let's solve each question on the Mental Maths Sheet 4:7 step by step and explain the reasoning.

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1) 4 × 7

Answer:
$ 4 \times 7 = 28 $

✔ *Explanation:* Simple multiplication: 4 groups of 7 make 28.

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2) How many cm in a quarter of a metre?

Answer:
A metre = 100 cm
Quarter of a metre = $ \frac{1}{4} \times 100 = 25 $ cm

✔ *Explanation:* One-quarter means divide 100 by 4 → 25 cm.

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3) Find the area of this rectangle.

Dimensions: 7 cm (length), 2 cm (width)

Answer:
Area = length × width = $ 7 \times 2 = 14 $ cm²

✔ *Explanation:* Area of a rectangle is always length × width.

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4) What is ¼ of 20?

Answer:
$ \frac{1}{4} \times 20 = 5 $

✔ *Explanation:* Divide 20 by 4 → 5.

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5) I buy 2 packs of M&Ms for £2.10. How much did one pack cost?

Answer:
$ £2.10 ÷ 2 = £1.05 $

✔ *Explanation:* Total cost divided by number of packs.

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6) What is the time in digital?

Clock shows:
- Hour hand between 9 and 10 → it’s past 9
- Minute hand pointing to 4 → 4 × 5 = 20 minutes

So, time is 9:20

Answer: 9:20

✔ *Explanation:* The minute hand at 4 means 20 minutes; hour hand just past 9 → 9:20.

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7) What is the missing number in this sequence?

Sequence: 37, ___, 45, 49, 53, 57

Look at the pattern:
- 45 - 49 = -4 → wait, increasing?
- 45 to 49 = +4
- 49 to 53 = +4
- 53 to 57 = +4

So common difference = +4

Backward: 45 - 4 = 41

Then: 37, 41, 45, 49, 53, 57

Answer: 41

✔ *Explanation:* Arithmetic sequence with difference of 4.

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8) Write down three thousand two hundred and thirty seven.

Answer: 3237

✔ *Explanation:* Simply write the number from words.

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9) Adam is 3 years older than Ben. Ben is 5 years younger than Cate. If Cate is 12, how old is Adam?

Step-by-step:
- Cate = 12
- Ben is 5 years younger than Cate → $ 12 - 5 = 7 $
- Adam is 3 years older than Ben → $ 7 + 3 = 10 $

Answer: 10

✔ *Explanation:* Chain of relationships: Cate → Ben → Adam.

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10) I have £2. I spend 83p. How much do I have left?

Convert £2 to pence: £2 = 200p
Spent: 83p
Left: $ 200 - 83 = 117 $ pence

Convert back: 117p = £1.17

Answer: £1.17

✔ *Explanation:* Work in same units (pence), then convert back.

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11) Round 6258 to the nearest 1000

Look at hundreds digit: 2 (in 6258)
- Since 2 < 5, round down → 6000

Answer: 6000

✔ *Explanation:* Nearest thousand: 6000 or 7000? 6258 is closer to 6000.

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12) 0.8 + ___ = 1

What adds to 0.8 to make 1?

$ 1 - 0.8 = 0.2 $

Answer: 0.2

✔ *Explanation:* Subtract 0.8 from 1.

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13) Convert the Roman numerals XVI into a number.

X = 10
V = 5
I = 1
XVI = 10 + 5 + 1 = 16

Answer: 16

✔ *Explanation:* Roman numerals add when smaller values follow larger ones.

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14) 5 × 4 = ___ + 8

Left side: $ 5 \times 4 = 20 $

So: $ 20 = ? + 8 $ → $ ? = 20 - 8 = 12 $

Answer: 12

✔ *Explanation:* Solve the equation: 20 = x + 8 → x = 12

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15) On a winter’s day, the temperature is 4°C. It falls by 6°C. What is the temperature now?

$ 4 - 6 = -2°C $

Answer: -2°C

✔ *Explanation:* Falling by 6°C means subtracting 6 from 4.

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16) A plane leaves Texas. It arrives in London 10 hours later at 7:20pm. What time did it leave Texas?

Arrival: 7:20 pm
Flight duration: 10 hours

Go backwards 10 hours from 7:20 pm:

- 7:20 pm minus 10 hours = 9:20 am (same day)

But wait — there's a time zone difference between Texas and London!

Texas is usually 6 hours behind London (Central Time vs GMT).

So if the plane arrives in London at 7:20 pm, that's 7:20 pm GMT.

In Texas, it would be 7:20 pm - 6 hours = 1:20 pm.

But the flight took 10 hours, so the departure time from Texas was:

$ 1:20\text{pm} - 10\text{hours} = 5:20\text{am} $ (on the same day)

Wait — let’s clarify:

If the plane arrives in London at 7:20 pm (GMT), and the flight took 10 hours, then it left Texas at 7:20 pm - 10 hours = 9:20 am (GMT).

Now convert 9:20 am GMT to Texas time (6 hours behind):

$ 9:20\text{am} - 6\text{hours} = 3:20\text{am} $

So the plane left Texas at 3:20 am (Texas time).

✔ *Important Note:* This is a real-world problem involving time zones.

Answer: 3:20 am

⚠️ *Clarification:* Without mentioning time zones, we might assume same time zone, but since it's Texas to London, we must account for the time difference.

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✔ Final Answers Summary:

| Q | Answer |
|---|--------|
| 1 | 28 |
| 2 | 25 cm |
| 3 | 14 cm² |
| 4 | 5 |
| 5 | £1.05 |
| 6 | 9:20 |
| 7 | 41 |
| 8 | 3237 |
| 9 | 10 |
| 10 | £1.17 |
| 11 | 6000 |
| 12 | 0.2 |
| 13 | 16 |
| 14 | 12 |
| 15 | -2°C |
| 16 | 3:20 am |

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Let me know if you'd like this as a printable answer sheet!