Mixed Topic Worksheet Grades 4/5: Day 026
- 1
Question 1. Work out 25% of 360.
Percentage of an Amount▶ Show worked answerHide worked answer
- M1: 360 ÷ 4 = 90
- A1: 90
Answer: 90[2 marks] - 2
Question 2. Expand and simplify (x + 8)(x - 5)
Expanding Double Brackets▶ Show worked answerHide worked answer
- M1: x × x = x², x × (-5) = -5x, 8 × x = 8x, 8 × (-5) = -40
- A1: x² + 3x - 40
Answer: x² + 3x - 40[2 marks] - 3
Question 3. There are 120 cars in a car park.
40% of the cars are electric.
The rest of the cars are petrol.
25% of the electric cars are white.
50% of the petrol cars are white.
Work out the number of white cars.Constructing Frequency Trees▶ Show worked answerHide worked answer
- M1: electric =48, petrol =72
- M1: 0.25×48=12 and 0.5×72=36
- A1: 48
Answer: 48[3 marks] - 4
Question 4. Here is a prism.
The cross-section is an equilateral triangle with side 6 cm and perpendicular height 5.2 cm.
Work out the total surface area of the prism.Surface Area of Prisms▶ Show worked answerHide worked answer
- M1: 2 × 1/2 × 6 × 5.2 (the two triangles) and 3 × 6 × 14 (the three rectangles)
- A1: 283.2
Answer: 283.2 cm²[2 marks] - 5
Question 5. A shopkeeper sells a lamp for £72.
This gives a profit of 20% of the cost price.
Work out the cost price of the lamp.Profit & Loss▶ Show worked answerHide worked answer
- M1: 72 / 1.2
- A1: £60
Answer: £60[2 marks]
Mixed Topic Worksheet Grades 4/5: Day 026
- 1
Question 1. Work out 25% of 360.
[2 marks]Percentage of an Amount▶ Show worked answerHide worked answer
- M1: 360 ÷ 4 = 90
- A1: 90
Answer: 90 - 2
Question 2. Expand and simplify (x + 8)(x - 5)
[2 marks]Expanding Double Brackets▶ Show worked answerHide worked answer
- M1: x × x = x², x × (-5) = -5x, 8 × x = 8x, 8 × (-5) = -40
- A1: x² + 3x - 40
Answer: x² + 3x - 40 - 3
Question 3. There are 120 cars in a car park.
[3 marks]
40% of the cars are electric.
The rest of the cars are petrol.
25% of the electric cars are white.
50% of the petrol cars are white.
Work out the number of white cars.Constructing Frequency Trees▶ Show worked answerHide worked answer
- M1: electric =48, petrol =72
- M1: 0.25×48=12 and 0.5×72=36
- A1: 48
Answer: 48 - 4
Question 4. Here is a prism.
[2 marks]
The cross-section is an equilateral triangle with side 6 cm and perpendicular height 5.2 cm.
Work out the total surface area of the prism.Surface Area of Prisms▶ Show worked answerHide worked answer
- M1: 2 × 1/2 × 6 × 5.2 (the two triangles) and 3 × 6 × 14 (the three rectangles)
- A1: 283.2
Answer: 283.2 cm² - 5
Question 5. A shopkeeper sells a lamp for £72.
[2 marks]
This gives a profit of 20% of the cost price.
Work out the cost price of the lamp.Profit & Loss▶ Show worked answerHide worked answer
- M1: 72 / 1.2
- A1: £60
Answer: £60
Mixed Topic Worksheet Grades 4/5: Day 026
- 1
Question 1. Work out 25% of 360.
Percentage of an Amount▶ Show worked answerHide worked answer
- M1: 360 ÷ 4 = 90
- A1: 90
Answer: 90[2 marks] - 2
Question 2. Expand and simplify (x + 8)(x - 5)
Expanding Double Brackets▶ Show worked answerHide worked answer
- M1: x × x = x², x × (-5) = -5x, 8 × x = 8x, 8 × (-5) = -40
- A1: x² + 3x - 40
Answer: x² + 3x - 40[2 marks] - 3
Question 3. There are 120 cars in a car park.
40% of the cars are electric.
The rest of the cars are petrol.
25% of the electric cars are white.
50% of the petrol cars are white.
Work out the number of white cars.Constructing Frequency Trees▶ Show worked answerHide worked answer
- M1: electric =48, petrol =72
- M1: 0.25×48=12 and 0.5×72=36
- A1: 48
Answer: 48[3 marks] - 4
Question 4. Here is a prism.
The cross-section is an equilateral triangle with side 6 cm and perpendicular height 5.2 cm.
Work out the total surface area of the prism.Surface Area of Prisms▶ Show worked answerHide worked answer
- M1: 2 × 1/2 × 6 × 5.2 (the two triangles) and 3 × 6 × 14 (the three rectangles)
- A1: 283.2
Answer: 283.2 cm²[2 marks] - 5
Question 5. A shopkeeper sells a lamp for £72.
This gives a profit of 20% of the cost price.
Work out the cost price of the lamp.Profit & Loss▶ Show worked answerHide worked answer
- M1: 72 / 1.2
- A1: £60
Answer: £60[2 marks]