Mixed Topic Worksheet Grades 4/5: Day 006
- 1
Question 1. Simplify the ratio 6 : 9.
Simplifying Ratios▶ Show worked answerHide worked answer
- B1: 2 : 3
Answer: 2 : 3[1 mark] - 2
Question 2. Rearrange 4y - 8x = 20 into the form y = mx + c
Rearranging to the Form y = mx + c▶ Show worked answerHide worked answer
- M1: 4y = 8x + 20
- A1: y = 2x + 5
Answer: y = 2x + 5[2 marks] - 3
Question 3. Here is a triangular prism with a right-angled triangle as its cross-section.
The volume of the prism is 168 cm³.
Work out the length, d cm, of the prism.Volume of Prisms▶ Show worked answerHide worked answer
- M1: 1/2 × 8 × 3 = 12
- M1: 168 ÷ 12
- A1: 14
Answer: 14[3 marks] - 4
Question 4. Work out the size of angle x.
Give your answer to 1 decimal place.Finding Angles Using SOH, CAH, TOA▶ Show worked answerHide worked answer
- M1: x = tan⁻¹(8.5/12.5)
- A1: 34.2
Answer: 34.2°[2 marks] - 5
Question 5. A rectangle has length (x + 4) cm and width x cm. The perimeter of the rectangle is less than 44 cm. x is a whole number. Work out the greatest possible value of x.
Solving Single Inequalities▶ Show worked answerHide worked answer
- M1: 2(x + 4 + x) < 44
- M1: 4x < 44 - 8, so x < 9
- A1: x = 8, because x is less than 9
Answer: 8[3 marks]
Mixed Topic Worksheet Grades 4/5: Day 006
- 1
Question 1. Simplify the ratio 6 : 9.
[1 mark]Simplifying Ratios▶ Show worked answerHide worked answer
- B1: 2 : 3
Answer: 2 : 3 - 2
Question 2. Rearrange 4y - 8x = 20 into the form y = mx + c
[2 marks]Rearranging to the Form y = mx + c▶ Show worked answerHide worked answer
- M1: 4y = 8x + 20
- A1: y = 2x + 5
Answer: y = 2x + 5 - 3
Question 3. Here is a triangular prism with a right-angled triangle as its cross-section.
[3 marks]
The volume of the prism is 168 cm³.
Work out the length, d cm, of the prism.Volume of Prisms▶ Show worked answerHide worked answer
- M1: 1/2 × 8 × 3 = 12
- M1: 168 ÷ 12
- A1: 14
Answer: 14 - 4
Question 4. Work out the size of angle x.
[2 marks]
Give your answer to 1 decimal place.Finding Angles Using SOH, CAH, TOA▶ Show worked answerHide worked answer
- M1: x = tan⁻¹(8.5/12.5)
- A1: 34.2
Answer: 34.2° - 5
Question 5. A rectangle has length (x + 4) cm and width x cm. The perimeter of the rectangle is less than 44 cm. x is a whole number. Work out the greatest possible value of x.
[3 marks]Solving Single Inequalities▶ Show worked answerHide worked answer
- M1: 2(x + 4 + x) < 44
- M1: 4x < 44 - 8, so x < 9
- A1: x = 8, because x is less than 9
Answer: 8
Mixed Topic Worksheet Grades 4/5: Day 006
- 1
Question 1. Simplify the ratio 6 : 9.
Simplifying Ratios▶ Show worked answerHide worked answer
- B1: 2 : 3
Answer: 2 : 3[1 mark] - 2
Question 2. Rearrange 4y - 8x = 20 into the form y = mx + c
Rearranging to the Form y = mx + c▶ Show worked answerHide worked answer
- M1: 4y = 8x + 20
- A1: y = 2x + 5
Answer: y = 2x + 5[2 marks] - 3
Question 3. Here is a triangular prism with a right-angled triangle as its cross-section.
The volume of the prism is 168 cm³.
Work out the length, d cm, of the prism.Volume of Prisms▶ Show worked answerHide worked answer
- M1: 1/2 × 8 × 3 = 12
- M1: 168 ÷ 12
- A1: 14
Answer: 14[3 marks] - 4
Question 4. Work out the size of angle x.
Give your answer to 1 decimal place.Finding Angles Using SOH, CAH, TOA▶ Show worked answerHide worked answer
- M1: x = tan⁻¹(8.5/12.5)
- A1: 34.2
Answer: 34.2°[2 marks] - 5
Question 5. A rectangle has length (x + 4) cm and width x cm. The perimeter of the rectangle is less than 44 cm. x is a whole number. Work out the greatest possible value of x.
Solving Single Inequalities▶ Show worked answerHide worked answer
- M1: 2(x + 4 + x) < 44
- M1: 4x < 44 - 8, so x < 9
- A1: x = 8, because x is less than 9
Answer: 8[3 marks]