Mixed Topic Worksheet Grades 4/5: Day 060
- 1
Question 1. A dress costs £84.
In a sale all prices are reduced by 15%.
Work out the sale price of the dress.Calculating Price Changes▶ Show worked answerHide worked answer
- M1: 10% of £84 is £8.40 and 5% is £4.20, so 15% = £8.40 + £4.20 = £12.60
- M1: 84 - 12.6
- A1: £71.40
Answer: £71.40[3 marks] - 2
Question 2. N = 2³ × 3 × 7
Work out the value of N.Prime Factors & Prime Factorisation▶ Show worked answerHide worked answer
- M1: 2³ = 8 and 8 × 3 × 7
- A1: 168
Answer: 168[2 marks] - 3
Question 3. The tally chart shows the colours of the cars in a car park. Write down the number of white cars.
Working with Tally Charts▶ Show worked answerHide worked answer
- B1: 16
Answer: 16[1 mark] - 4
Question 4. A ship is 8 km north and 15 km east of a port.
The captain says the bearing of the ship from the port is 028^°.
The navigator says the bearing is 062^°.
Only one of them is correct.
Who is correct? Show your working.Problem Solving with Bearings▶ Show worked answerHide worked answer
- M1: tan x = 15 ÷ 8, where x is the angle from north
- M1: x = tan⁻¹(15 ÷ 8)
- A1: 62^°, so the navigator is correct
Answer: The navigator: bearing 062 degrees.[3 marks] - 5
Question 5. The graph shows a lorry journey that includes a stop.
(a) Work out the speed of the lorry in the last section of the journey. [2]
(b) Work out the average speed of the lorry for the whole journey. [2]Calculating Average Speed Using Distance-Time Graphs▶ Show worked answerHide worked answer
- (a) M1: (140 - 80) ÷ (5 - 3)
- (a) A1: 30
- (b) M1: 140 ÷ 5
- (b) A1: 28
Answer: (a) 30 km/h; (b) 28 km/h[4 marks]
Mixed Topic Worksheet Grades 4/5: Day 060
- 1
Question 1. A dress costs £84.
[3 marks]
In a sale all prices are reduced by 15%.
Work out the sale price of the dress.Calculating Price Changes▶ Show worked answerHide worked answer
- M1: 10% of £84 is £8.40 and 5% is £4.20, so 15% = £8.40 + £4.20 = £12.60
- M1: 84 - 12.6
- A1: £71.40
Answer: £71.40 - 2
Question 2. N = 2³ × 3 × 7
[2 marks]
Work out the value of N.Prime Factors & Prime Factorisation▶ Show worked answerHide worked answer
- M1: 2³ = 8 and 8 × 3 × 7
- A1: 168
Answer: 168 - 3
Question 3. The tally chart shows the colours of the cars in a car park. Write down the number of white cars.
[1 mark]Working with Tally Charts▶ Show worked answerHide worked answer
- B1: 16
Answer: 16 - 4
Question 4. A ship is 8 km north and 15 km east of a port.
[3 marks]
The captain says the bearing of the ship from the port is 028^°.
The navigator says the bearing is 062^°.
Only one of them is correct.
Who is correct? Show your working.Problem Solving with Bearings▶ Show worked answerHide worked answer
- M1: tan x = 15 ÷ 8, where x is the angle from north
- M1: x = tan⁻¹(15 ÷ 8)
- A1: 62^°, so the navigator is correct
Answer: The navigator: bearing 062 degrees. - 5
Question 5. The graph shows a lorry journey that includes a stop.
[4 marks]
(a) Work out the speed of the lorry in the last section of the journey. [2]
(b) Work out the average speed of the lorry for the whole journey. [2]Calculating Average Speed Using Distance-Time Graphs▶ Show worked answerHide worked answer
- (a) M1: (140 - 80) ÷ (5 - 3)
- (a) A1: 30
- (b) M1: 140 ÷ 5
- (b) A1: 28
Answer: (a) 30 km/h; (b) 28 km/h
Mixed Topic Worksheet Grades 4/5: Day 060
- 1
Question 1. A dress costs £84.
In a sale all prices are reduced by 15%.
Work out the sale price of the dress.Calculating Price Changes▶ Show worked answerHide worked answer
- M1: 10% of £84 is £8.40 and 5% is £4.20, so 15% = £8.40 + £4.20 = £12.60
- M1: 84 - 12.6
- A1: £71.40
Answer: £71.40[3 marks] - 2
Question 2. N = 2³ × 3 × 7
Work out the value of N.Prime Factors & Prime Factorisation▶ Show worked answerHide worked answer
- M1: 2³ = 8 and 8 × 3 × 7
- A1: 168
Answer: 168[2 marks] - 3
Question 3. The tally chart shows the colours of the cars in a car park. Write down the number of white cars.
Working with Tally Charts▶ Show worked answerHide worked answer
- B1: 16
Answer: 16[1 mark] - 4
Question 4. A ship is 8 km north and 15 km east of a port.
The captain says the bearing of the ship from the port is 028^°.
The navigator says the bearing is 062^°.
Only one of them is correct.
Who is correct? Show your working.Problem Solving with Bearings▶ Show worked answerHide worked answer
- M1: tan x = 15 ÷ 8, where x is the angle from north
- M1: x = tan⁻¹(15 ÷ 8)
- A1: 62^°, so the navigator is correct
Answer: The navigator: bearing 062 degrees.[3 marks] - 5
Question 5. The graph shows a lorry journey that includes a stop.
(a) Work out the speed of the lorry in the last section of the journey. [2]
(b) Work out the average speed of the lorry for the whole journey. [2]Calculating Average Speed Using Distance-Time Graphs▶ Show worked answerHide worked answer
- (a) M1: (140 - 80) ÷ (5 - 3)
- (a) A1: 30
- (b) M1: 140 ÷ 5
- (b) A1: 28
Answer: (a) 30 km/h; (b) 28 km/h[4 marks]