Mixed Topic Worksheet Grades 6/7: Day 032
- 1
Question 1. Tom changes pounds into euros at £1 = €1.16.
He receives €348.
How many pounds did he change?Currency Conversions▶ Show worked answerHide worked answer
- M1: 348 / 1.16
- A1: £300
Answer: £300[2 marks] - 2
Question 2. The diagram shows triangle ABC.
Work out the area of triangle ABC.
Give your answer to 1 decimal place.Area of Triangles Using ½ab sin C▶ Show worked answerHide worked answer
- M1: 1/2 × 8 × 5 × sin 38^°
- A1: 12.3
Answer: 12.3 cm²[2 marks] - 3
Question 3. Birds in a marsh are caught, ringed and released.
On the first day 120 birds are ringed.
On the second day 75 birds are caught and 9 of these have a ring.
Work out an estimate for the number of birds in the marsh.Capture-Recapture▶ Show worked answerHide worked answer
- M1: 120 ÷ N = 9 ÷ 75
- M1: 120 × 75 ÷ 9
- A1: 1000
Answer: 1000[3 marks] - 4
Question 4. Here is triangle ABC.
Work out the size of angle ABC.
Give your answer to 1 decimal place.Finding Angles Using the Cosine Rule▶ Show worked answerHide worked answer
- M1: 13² = 22² + 13² - 2 × 22 × 13 × cos ABC
- M1: cos ABC = dfrac22² + 13² - 13²2 × 22 × 13 = 0.8462
- A1: ABC = 32.2^°
Answer: 32.2^°[3 marks] - 5
Question 5. Work out the value of dfrac27²/³ × 4³/²6
Fractional Powers▶ Show worked answerHide worked answer
- M1: 27²/³ = 9
- M1: 4³/² = 8
- A1: 12
Answer: 12[3 marks]
Mixed Topic Worksheet Grades 6/7: Day 032
- 1
Question 1. Tom changes pounds into euros at £1 = €1.16.
[2 marks]
He receives €348.
How many pounds did he change?Currency Conversions▶ Show worked answerHide worked answer
- M1: 348 / 1.16
- A1: £300
Answer: £300 - 2
Question 2. The diagram shows triangle ABC.
[2 marks]
Work out the area of triangle ABC.
Give your answer to 1 decimal place.Area of Triangles Using ½ab sin C▶ Show worked answerHide worked answer
- M1: 1/2 × 8 × 5 × sin 38^°
- A1: 12.3
Answer: 12.3 cm² - 3
Question 3. Birds in a marsh are caught, ringed and released.
[3 marks]
On the first day 120 birds are ringed.
On the second day 75 birds are caught and 9 of these have a ring.
Work out an estimate for the number of birds in the marsh.Capture-Recapture▶ Show worked answerHide worked answer
- M1: 120 ÷ N = 9 ÷ 75
- M1: 120 × 75 ÷ 9
- A1: 1000
Answer: 1000 - 4
Question 4. Here is triangle ABC.
[3 marks]
Work out the size of angle ABC.
Give your answer to 1 decimal place.Finding Angles Using the Cosine Rule▶ Show worked answerHide worked answer
- M1: 13² = 22² + 13² - 2 × 22 × 13 × cos ABC
- M1: cos ABC = dfrac22² + 13² - 13²2 × 22 × 13 = 0.8462
- A1: ABC = 32.2^°
Answer: 32.2^° - 5
Question 5. Work out the value of dfrac27²/³ × 4³/²6
[3 marks]Fractional Powers▶ Show worked answerHide worked answer
- M1: 27²/³ = 9
- M1: 4³/² = 8
- A1: 12
Answer: 12
Mixed Topic Worksheet Grades 6/7: Day 032
- 1
Question 1. Tom changes pounds into euros at £1 = €1.16.
He receives €348.
How many pounds did he change?Currency Conversions▶ Show worked answerHide worked answer
- M1: 348 / 1.16
- A1: £300
Answer: £300[2 marks] - 2
Question 2. The diagram shows triangle ABC.
Work out the area of triangle ABC.
Give your answer to 1 decimal place.Area of Triangles Using ½ab sin C▶ Show worked answerHide worked answer
- M1: 1/2 × 8 × 5 × sin 38^°
- A1: 12.3
Answer: 12.3 cm²[2 marks] - 3
Question 3. Birds in a marsh are caught, ringed and released.
On the first day 120 birds are ringed.
On the second day 75 birds are caught and 9 of these have a ring.
Work out an estimate for the number of birds in the marsh.Capture-Recapture▶ Show worked answerHide worked answer
- M1: 120 ÷ N = 9 ÷ 75
- M1: 120 × 75 ÷ 9
- A1: 1000
Answer: 1000[3 marks] - 4
Question 4. Here is triangle ABC.
Work out the size of angle ABC.
Give your answer to 1 decimal place.Finding Angles Using the Cosine Rule▶ Show worked answerHide worked answer
- M1: 13² = 22² + 13² - 2 × 22 × 13 × cos ABC
- M1: cos ABC = dfrac22² + 13² - 13²2 × 22 × 13 = 0.8462
- A1: ABC = 32.2^°
Answer: 32.2^°[3 marks] - 5
Question 5. Work out the value of dfrac27²/³ × 4³/²6
Fractional Powers▶ Show worked answerHide worked answer
- M1: 27²/³ = 9
- M1: 4³/² = 8
- A1: 12
Answer: 12[3 marks]