Let's solve each question step by step and explain the reasoning.
---
1) Find the value of y
We are given a diagram with an angle of 48° and a circle. The angle is formed by two lines meeting at a point on the circumference, and we're to find angle *y* which appears to be the
reflex angle around that point (since it’s labeled as part of a full circle).
- A full circle = 360°
- The given angle is 48°
- So, the reflex angle $ y = 360^\circ - 48^\circ = 312^\circ $
✔ Answer: 312°
---
2) 18.6 + 11.7 = ?
Add decimals:
$$
18.6 + 11.7 = 30.3
$$
✔ Answer: 30.3
---
3) 78 ÷ 6 = ?
Divide:
$$
78 ÷ 6 = 13
$$
(6 × 13 = 78)
✔ Answer: 13
---
4) 2hr 16 mins + 3hr 18mins = ?
Add hours and minutes separately:
- Hours: 2 + 3 = 5 hours
- Minutes: 16 + 18 = 34 minutes
So total =
5 hours 34 minutes
✔ Answer: 5hr 34mins
---
5) $\frac{12}{30} = \frac{2}{5}$ — True or False?
Simplify $\frac{12}{30}$:
$$
\frac{12}{30} = \frac{2}{5} \quad \text{(divide numerator and denominator by 6)}
$$
Yes, they are equal.
✔ Answer: True
---
6) How many 10p coins are there in £7.30?
Convert £7.30 to pence:
- £1 = 100p → £7.30 = 730p
Now divide by 10p:
$$
730 ÷ 10 = 73
$$
✔ Answer: 73
---
7) 9.8 - 0.9 = ?
Subtract decimals:
$$
9.8 - 0.9 = 8.9
$$
✔ Answer: 8.9
---
8) What is the area of this triangle?
Triangle has base = 8 cm, height = 5 cm
Area of triangle = $ \frac{1}{2} \times \text{base} \times \text{height} $
$$
= \frac{1}{2} \times 8 \times 5 = 4 \times 5 = 20 \text{ cm}^2
$$
✔ Answer: 20 cm²
---
9) 3 × 3 × 4 = ?
Multiply step by step:
$$
3 × 3 = 9,\quad 9 × 4 = 36
$$
✔ Answer: 36
---
10) 75% of £1000 = ?
75% = $ \frac{75}{100} = 0.75 $
$$
0.75 × 1000 = 750
$$
✔ Answer: £750
---
11) How many $ \frac{1}{4} $ are there in $ 2\frac{1}{2} $?
First, convert $ 2\frac{1}{2} $ to improper fraction:
$$
2\frac{1}{2} = \frac{5}{2}
$$
Now divide $ \frac{5}{2} $ by $ \frac{1}{4} $:
$$
\frac{5}{2} ÷ \frac{1}{4} = \frac{5}{2} × \frac{4}{1} = \frac{20}{2} = 10
$$
✔ Answer: 10
---
12) 9 × ____ = 81
Divide both sides by 9:
$$
81 ÷ 9 = 9
$$
✔ Answer: 9
---
✔ Final Answers:
| Question | Answer |
|--------|---------------|
| 1 | 312° |
| 2 | 30.3 |
| 3 | 13 |
| 4 | 5hr 34mins |
| 5 | True |
| 6 | 73 |
| 7 | 8.9 |
| 8 | 20 cm² |
| 9 | 36 |
| 10 | £750 |
| 11 | 10 |
| 12 | 9 |
The score box shows
12, which matches the number of questions — likely indicating all were answered correctly.
✔ All problems solved!
Parent Tip: Review the logic above to help your child master the concept of worksheet year 6.
