Mixed Topic Worksheet Grades 4/5: Day 002
- 1
Question 1. The diagram shows a regular polygon with 18 sides.
Work out the size of the exterior angle x.External Angles in a Regular Polygon▶ Show worked answerHide worked answer
- M1: 360 ÷ 18 (the exterior angles of a polygon add up to 360^°)
- A1: 20
Answer: 20[2 marks] - 2
Question 2. The graph of y = (x + 3)(x - 5) crosses the y-axis at the point (0, k). Work out the value of k.
y-Intercepts of Quadratics▶ Show worked answerHide worked answer
- M1: (0 + 3)(0 - 5)
- A1: -15
Answer: -15[2 marks] - 3
Question 3. A bag has 2 red and 3 green counters. Two counters are taken at random without replacement. Show that the probability that they are different colours is 3/5.
Constructing Tree Diagrams▶ Show worked answerHide worked answer
- M1: 2/5×3/4+3/5×2/4
- A1: 6/20+6/20=3/5
Answer: 3/5[2 marks] - 4
Question 4. Work out ≤ft(dfrac23)⁻³ as a fraction
Fractions with Negative Powers▶ Show worked answerHide worked answer
- M1: ≤ft(dfrac32)³
- A1: dfrac278
Answer: dfrac278[2 marks] - 5
Question 5. A car uses 1 litre of petrol for every 12 km.
Petrol costs £1.45 per litre.
Work out the cost of petrol for a journey of 180 km.Applied Best Buys▶ Show worked answerHide worked answer
- M1: 180 ÷ 12 = 15 litres
- M1: 15 × 1.45
- A1: £21.75
Answer: £21.75[3 marks]
Mixed Topic Worksheet Grades 4/5: Day 002
- 1
Question 1. The diagram shows a regular polygon with 18 sides.
[2 marks]
Work out the size of the exterior angle x.External Angles in a Regular Polygon▶ Show worked answerHide worked answer
- M1: 360 ÷ 18 (the exterior angles of a polygon add up to 360^°)
- A1: 20
Answer: 20 - 2
Question 2. The graph of y = (x + 3)(x - 5) crosses the y-axis at the point (0, k). Work out the value of k.
[2 marks]y-Intercepts of Quadratics▶ Show worked answerHide worked answer
- M1: (0 + 3)(0 - 5)
- A1: -15
Answer: -15 - 3
Question 3. A bag has 2 red and 3 green counters. Two counters are taken at random without replacement. Show that the probability that they are different colours is 3/5.
[2 marks]Constructing Tree Diagrams▶ Show worked answerHide worked answer
- M1: 2/5×3/4+3/5×2/4
- A1: 6/20+6/20=3/5
Answer: 3/5 - 4
Question 4. Work out ≤ft(dfrac23)⁻³ as a fraction
[2 marks]Fractions with Negative Powers▶ Show worked answerHide worked answer
- M1: ≤ft(dfrac32)³
- A1: dfrac278
Answer: dfrac278 - 5
Question 5. A car uses 1 litre of petrol for every 12 km.
[3 marks]
Petrol costs £1.45 per litre.
Work out the cost of petrol for a journey of 180 km.Applied Best Buys▶ Show worked answerHide worked answer
- M1: 180 ÷ 12 = 15 litres
- M1: 15 × 1.45
- A1: £21.75
Answer: £21.75
Mixed Topic Worksheet Grades 4/5: Day 002
- 1
Question 1. The diagram shows a regular polygon with 18 sides.
Work out the size of the exterior angle x.External Angles in a Regular Polygon▶ Show worked answerHide worked answer
- M1: 360 ÷ 18 (the exterior angles of a polygon add up to 360^°)
- A1: 20
Answer: 20[2 marks] - 2
Question 2. The graph of y = (x + 3)(x - 5) crosses the y-axis at the point (0, k). Work out the value of k.
y-Intercepts of Quadratics▶ Show worked answerHide worked answer
- M1: (0 + 3)(0 - 5)
- A1: -15
Answer: -15[2 marks] - 3
Question 3. A bag has 2 red and 3 green counters. Two counters are taken at random without replacement. Show that the probability that they are different colours is 3/5.
Constructing Tree Diagrams▶ Show worked answerHide worked answer
- M1: 2/5×3/4+3/5×2/4
- A1: 6/20+6/20=3/5
Answer: 3/5[2 marks] - 4
Question 4. Work out ≤ft(dfrac23)⁻³ as a fraction
Fractions with Negative Powers▶ Show worked answerHide worked answer
- M1: ≤ft(dfrac32)³
- A1: dfrac278
Answer: dfrac278[2 marks] - 5
Question 5. A car uses 1 litre of petrol for every 12 km.
Petrol costs £1.45 per litre.
Work out the cost of petrol for a journey of 180 km.Applied Best Buys▶ Show worked answerHide worked answer
- M1: 180 ÷ 12 = 15 litres
- M1: 15 × 1.45
- A1: £21.75
Answer: £21.75[3 marks]