Mixed Topic Worksheet Grades 4/5: Day 061
- 1
Question 1. Shape A is drawn on the grid.
Rotate shape A through 90° anticlockwise about the origin (0, 0).
Label the image B.Rotations▶ Show worked answerHide worked answer
- M1: rotation of 90° about the origin (correct size, any orientation of 90°) or two vertices correct
- A1: B with vertices (−1, 2), (−1, 4), (−2, 4)
Answer: Image B has vertices (−1, 2), (−1, 4), (−2, 4)[2 marks] - 2
Question 2. m is a positive integer. m⁰ + m¹ = 12. Work out the value of m.
Powers of Zero & One▶ Show worked answerHide worked answer
- M1: m⁰ = 1, so 1 + m = 12
- A1: 11
Answer: 11[2 marks] - 3
Question 3. Factorise fully 6a² - 9a
Factorising Single Brackets▶ Show worked answerHide worked answer
- M1: 6a² = 3a × 2a or 9a = 3a × 3
- A1: 3a(2a - 3)
Answer: 3a(2a - 3)[2 marks] - 4
Question 4. A bag contains 3 red counters and 7 blue counters.
A counter is taken at random, its colour is written down and the counter is put back in the bag.
A second counter is then taken at random.
Work out the probability that both counters are red.Independence▶ Show worked answerHide worked answer
- M1: dfrac310 × dfrac310
- A1: dfrac9100
Answer: dfrac9100[2 marks] - 5
Question 5. Jen runs at 15 metres per second.
Sam cycles at 50 kilometres per hour.
Who is travelling faster? You must show working.Converting Compound Measures▶ Show worked answerHide worked answer
- M1: 15 × 3600 ÷ 1000
- M1: 50 × 1000 ÷ 3600 = 13.9 or 15 m/s = 54 km/h
- A1: Jen is faster, 54 km/h is more than 50 km/h
Answer: Jen. 15 m/s = 54 km/h, which is more than 50 km/h[3 marks]
Mixed Topic Worksheet Grades 4/5: Day 061
- 1
Question 1. Shape A is drawn on the grid.
[2 marks]
Rotate shape A through 90° anticlockwise about the origin (0, 0).
Label the image B.Rotations▶ Show worked answerHide worked answer
- M1: rotation of 90° about the origin (correct size, any orientation of 90°) or two vertices correct
- A1: B with vertices (−1, 2), (−1, 4), (−2, 4)
Answer: Image B has vertices (−1, 2), (−1, 4), (−2, 4) - 2
Question 2. m is a positive integer. m⁰ + m¹ = 12. Work out the value of m.
[2 marks]Powers of Zero & One▶ Show worked answerHide worked answer
- M1: m⁰ = 1, so 1 + m = 12
- A1: 11
Answer: 11 - 3
Question 3. Factorise fully 6a² - 9a
[2 marks]Factorising Single Brackets▶ Show worked answerHide worked answer
- M1: 6a² = 3a × 2a or 9a = 3a × 3
- A1: 3a(2a - 3)
Answer: 3a(2a - 3) - 4
Question 4. A bag contains 3 red counters and 7 blue counters.
[2 marks]
A counter is taken at random, its colour is written down and the counter is put back in the bag.
A second counter is then taken at random.
Work out the probability that both counters are red.Independence▶ Show worked answerHide worked answer
- M1: dfrac310 × dfrac310
- A1: dfrac9100
Answer: dfrac9100 - 5
Question 5. Jen runs at 15 metres per second.
[3 marks]
Sam cycles at 50 kilometres per hour.
Who is travelling faster? You must show working.Converting Compound Measures▶ Show worked answerHide worked answer
- M1: 15 × 3600 ÷ 1000
- M1: 50 × 1000 ÷ 3600 = 13.9 or 15 m/s = 54 km/h
- A1: Jen is faster, 54 km/h is more than 50 km/h
Answer: Jen. 15 m/s = 54 km/h, which is more than 50 km/h
Mixed Topic Worksheet Grades 4/5: Day 061
- 1
Question 1. Shape A is drawn on the grid.
Rotate shape A through 90° anticlockwise about the origin (0, 0).
Label the image B.Rotations▶ Show worked answerHide worked answer
- M1: rotation of 90° about the origin (correct size, any orientation of 90°) or two vertices correct
- A1: B with vertices (−1, 2), (−1, 4), (−2, 4)
Answer: Image B has vertices (−1, 2), (−1, 4), (−2, 4)[2 marks] - 2
Question 2. m is a positive integer. m⁰ + m¹ = 12. Work out the value of m.
Powers of Zero & One▶ Show worked answerHide worked answer
- M1: m⁰ = 1, so 1 + m = 12
- A1: 11
Answer: 11[2 marks] - 3
Question 3. Factorise fully 6a² - 9a
Factorising Single Brackets▶ Show worked answerHide worked answer
- M1: 6a² = 3a × 2a or 9a = 3a × 3
- A1: 3a(2a - 3)
Answer: 3a(2a - 3)[2 marks] - 4
Question 4. A bag contains 3 red counters and 7 blue counters.
A counter is taken at random, its colour is written down and the counter is put back in the bag.
A second counter is then taken at random.
Work out the probability that both counters are red.Independence▶ Show worked answerHide worked answer
- M1: dfrac310 × dfrac310
- A1: dfrac9100
Answer: dfrac9100[2 marks] - 5
Question 5. Jen runs at 15 metres per second.
Sam cycles at 50 kilometres per hour.
Who is travelling faster? You must show working.Converting Compound Measures▶ Show worked answerHide worked answer
- M1: 15 × 3600 ÷ 1000
- M1: 50 × 1000 ÷ 3600 = 13.9 or 15 m/s = 54 km/h
- A1: Jen is faster, 54 km/h is more than 50 km/h
Answer: Jen. 15 m/s = 54 km/h, which is more than 50 km/h[3 marks]