Mixed Topic Worksheet Grades 4/5: Day 086
- 1
Question 1. Work out 9.08 + 12.7
Adding Decimals▶ Show worked answerHide worked answer
- M1: 9.08 + 12.70 (points in line)
- A1: 21.78
Answer: 21.78[2 marks] - 2
Question 2. A teacher uses m = 4h + 15 as the line of best fit for the test mark, m, of a pupil who revises for h hours.
Estimate the test mark of a pupil who revises for 7 hours.Lines of Best Fit & Predicting Values▶ Show worked answerHide worked answer
- M1: 4 × 7
- A1: 43
Answer: 43[2 marks] - 3
Question 3. Mia says that 5000 seconds is longer than 1 hour 25 minutes.
Is she correct? You must show working.Time Conversions▶ Show worked answerHide worked answer
- M1: 5000 ÷ 60
- M1: 1 hour 25 minutes = 85 minutes
- A1: No, 83.3 minutes is less than 85 minutes
Answer: No. 5000 seconds is 83 minutes, 20 seconds, which is less than 85 minutes[3 marks] - 4
Question 4. A hiker walks 6.5 km from A to B on a bearing of 072^°.
Work out how far east of A the point B is.
Give your answer to 1 decimal place.Bearings Problems Involving SOH, CAH, TOA▶ Show worked answerHide worked answer
- M1: east = 6.5 × sin 72°
- A1: 6.2
Answer: 6.2 km[2 marks] - 5
Question 5. A tent is a pyramid with a square base of side 3 m.
The slant height of each triangular side of the tent is 2.8 m.
The tent has no floor.
Canvas is used for the four triangular sides.
Work out the area of canvas needed.Surface Area of Pyramids▶ Show worked answerHide worked answer
- M1: 4 × 1/2 × 3 × 2.8
- A1: 16.8
Answer: 16.8 m²[2 marks]
Mixed Topic Worksheet Grades 4/5: Day 086
- 1
Question 1. Work out 9.08 + 12.7
[2 marks]Adding Decimals▶ Show worked answerHide worked answer
- M1: 9.08 + 12.70 (points in line)
- A1: 21.78
Answer: 21.78 - 2
Question 2. A teacher uses m = 4h + 15 as the line of best fit for the test mark, m, of a pupil who revises for h hours.
[2 marks]
Estimate the test mark of a pupil who revises for 7 hours.Lines of Best Fit & Predicting Values▶ Show worked answerHide worked answer
- M1: 4 × 7
- A1: 43
Answer: 43 - 3
Question 3. Mia says that 5000 seconds is longer than 1 hour 25 minutes.
[3 marks]
Is she correct? You must show working.Time Conversions▶ Show worked answerHide worked answer
- M1: 5000 ÷ 60
- M1: 1 hour 25 minutes = 85 minutes
- A1: No, 83.3 minutes is less than 85 minutes
Answer: No. 5000 seconds is 83 minutes, 20 seconds, which is less than 85 minutes - 4
Question 4. A hiker walks 6.5 km from A to B on a bearing of 072^°.
[2 marks]
Work out how far east of A the point B is.
Give your answer to 1 decimal place.Bearings Problems Involving SOH, CAH, TOA▶ Show worked answerHide worked answer
- M1: east = 6.5 × sin 72°
- A1: 6.2
Answer: 6.2 km - 5
Question 5. A tent is a pyramid with a square base of side 3 m.
[2 marks]
The slant height of each triangular side of the tent is 2.8 m.
The tent has no floor.
Canvas is used for the four triangular sides.
Work out the area of canvas needed.Surface Area of Pyramids▶ Show worked answerHide worked answer
- M1: 4 × 1/2 × 3 × 2.8
- A1: 16.8
Answer: 16.8 m²
Mixed Topic Worksheet Grades 4/5: Day 086
- 1
Question 1. Work out 9.08 + 12.7
Adding Decimals▶ Show worked answerHide worked answer
- M1: 9.08 + 12.70 (points in line)
- A1: 21.78
Answer: 21.78[2 marks] - 2
Question 2. A teacher uses m = 4h + 15 as the line of best fit for the test mark, m, of a pupil who revises for h hours.
Estimate the test mark of a pupil who revises for 7 hours.Lines of Best Fit & Predicting Values▶ Show worked answerHide worked answer
- M1: 4 × 7
- A1: 43
Answer: 43[2 marks] - 3
Question 3. Mia says that 5000 seconds is longer than 1 hour 25 minutes.
Is she correct? You must show working.Time Conversions▶ Show worked answerHide worked answer
- M1: 5000 ÷ 60
- M1: 1 hour 25 minutes = 85 minutes
- A1: No, 83.3 minutes is less than 85 minutes
Answer: No. 5000 seconds is 83 minutes, 20 seconds, which is less than 85 minutes[3 marks] - 4
Question 4. A hiker walks 6.5 km from A to B on a bearing of 072^°.
Work out how far east of A the point B is.
Give your answer to 1 decimal place.Bearings Problems Involving SOH, CAH, TOA▶ Show worked answerHide worked answer
- M1: east = 6.5 × sin 72°
- A1: 6.2
Answer: 6.2 km[2 marks] - 5
Question 5. A tent is a pyramid with a square base of side 3 m.
The slant height of each triangular side of the tent is 2.8 m.
The tent has no floor.
Canvas is used for the four triangular sides.
Work out the area of canvas needed.Surface Area of Pyramids▶ Show worked answerHide worked answer
- M1: 4 × 1/2 × 3 × 2.8
- A1: 16.8
Answer: 16.8 m²[2 marks]