Mixed Topic Worksheet Grades 4/5: Day 045
- 1
Question 1. Express 20 as a fraction of 35
Give your answer as a fraction in its simplest form.Expressing as a Fraction▶ Show worked answerHide worked answer
- M1: writes the fraction dfrac2035
- A1: dfrac47
Answer: dfrac47[2 marks] - 2
Question 2. A straight line has equation y = 2x + c.
The line crosses the x-axis at the point (3, 0).
Work out the value of c.Identifying the x- & y-Intercepts of a Straight Line▶ Show worked answerHide worked answer
- M1: 0 = 2 × 3 + c
- A1: c = -6
Answer: -6[2 marks] - 3
Question 3. A force of 720 N produces a pressure of 90 N/m².
Work out the area the force acts on.Pressure, Force & Area Calculations▶ Show worked answerHide worked answer
- M1: 720 ÷ 90
- A1: 8
Answer: 8 m²[2 marks] - 4
Question 4. Here is a pyramid with a square base of side 4 cm.
The total surface area of the pyramid is 88 cm².
Work out the slant height, s cm, of each triangular face.Surface Area of Pyramids▶ Show worked answerHide worked answer
- M1: 4 × 4 + 4 × 1/2 × 4 × s = 88 (or 16 + 8s = 88)
- A1: 9
Answer: 9 cm[2 marks] - 5
Question 5. Girls and boys chose pizza or a burger. The two-way table shows the results.
One of the boys is chosen at random.
Work out the probability that this boy chose pizza.Finding Probabilities with Two-Way Tables▶ Show worked answerHide worked answer
- M1: 14 ÷ 40
- A1: 7/20
Answer: dfrac720[2 marks]
Mixed Topic Worksheet Grades 4/5: Day 045
- 1
Question 1. Express 20 as a fraction of 35
[2 marks]
Give your answer as a fraction in its simplest form.Expressing as a Fraction▶ Show worked answerHide worked answer
- M1: writes the fraction dfrac2035
- A1: dfrac47
Answer: dfrac47 - 2
Question 2. A straight line has equation y = 2x + c.
[2 marks]
The line crosses the x-axis at the point (3, 0).
Work out the value of c.Identifying the x- & y-Intercepts of a Straight Line▶ Show worked answerHide worked answer
- M1: 0 = 2 × 3 + c
- A1: c = -6
Answer: -6 - 3
Question 3. A force of 720 N produces a pressure of 90 N/m².
[2 marks]
Work out the area the force acts on.Pressure, Force & Area Calculations▶ Show worked answerHide worked answer
- M1: 720 ÷ 90
- A1: 8
Answer: 8 m² - 4
Question 4. Here is a pyramid with a square base of side 4 cm.
[2 marks]
The total surface area of the pyramid is 88 cm².
Work out the slant height, s cm, of each triangular face.Surface Area of Pyramids▶ Show worked answerHide worked answer
- M1: 4 × 4 + 4 × 1/2 × 4 × s = 88 (or 16 + 8s = 88)
- A1: 9
Answer: 9 cm - 5
Question 5. Girls and boys chose pizza or a burger. The two-way table shows the results.
[2 marks]
One of the boys is chosen at random.
Work out the probability that this boy chose pizza.Finding Probabilities with Two-Way Tables▶ Show worked answerHide worked answer
- M1: 14 ÷ 40
- A1: 7/20
Answer: dfrac720
Mixed Topic Worksheet Grades 4/5: Day 045
- 1
Question 1. Express 20 as a fraction of 35
Give your answer as a fraction in its simplest form.Expressing as a Fraction▶ Show worked answerHide worked answer
- M1: writes the fraction dfrac2035
- A1: dfrac47
Answer: dfrac47[2 marks] - 2
Question 2. A straight line has equation y = 2x + c.
The line crosses the x-axis at the point (3, 0).
Work out the value of c.Identifying the x- & y-Intercepts of a Straight Line▶ Show worked answerHide worked answer
- M1: 0 = 2 × 3 + c
- A1: c = -6
Answer: -6[2 marks] - 3
Question 3. A force of 720 N produces a pressure of 90 N/m².
Work out the area the force acts on.Pressure, Force & Area Calculations▶ Show worked answerHide worked answer
- M1: 720 ÷ 90
- A1: 8
Answer: 8 m²[2 marks] - 4
Question 4. Here is a pyramid with a square base of side 4 cm.
The total surface area of the pyramid is 88 cm².
Work out the slant height, s cm, of each triangular face.Surface Area of Pyramids▶ Show worked answerHide worked answer
- M1: 4 × 4 + 4 × 1/2 × 4 × s = 88 (or 16 + 8s = 88)
- A1: 9
Answer: 9 cm[2 marks] - 5
Question 5. Girls and boys chose pizza or a burger. The two-way table shows the results.
One of the boys is chosen at random.
Work out the probability that this boy chose pizza.Finding Probabilities with Two-Way Tables▶ Show worked answerHide worked answer
- M1: 14 ÷ 40
- A1: 7/20
Answer: dfrac720[2 marks]