Mixed Topic Worksheet Grades 4/5: Day 011
- 1
Question 1. Make x the subject of y = 2x + 9
Fundamentals of Rearranging Equations▶ Show worked answerHide worked answer
- M1: subtracts 9 from both sides, giving y - 9 = 2x
- A1: divides by 2, giving x = dfracy - 92
Answer: x = dfracy - 92[2 marks] - 2
Question 2. Work out 5dfrac14 ÷ 3
Give your answer as a mixed number in its simplest form.Dividing Mixed Numbers▶ Show worked answerHide worked answer
- M1: 5dfrac14=dfrac214 and dfrac214 ÷ 3 = dfrac2112
- A1: 1dfrac34
Answer: 1dfrac34[2 marks] - 3
Question 3. ABC is a right-angled triangle.
Calculate the length of BC.Using Pythagoras to Find a Non-Hypotenuse Side▶ Show worked answerHide worked answer
- M1: 29² - 21²
- M1: √29² - 21² = √400
- A1: 20 cm
Answer: 20 cm[3 marks] - 4
Question 4. Here is a prism. The cross-section is an L shape made from two rectangles.
Work out the volume of the prism.Volume of Composite Shapes▶ Show worked answerHide worked answer
- M1: 6 × 2 = 12 and 2 × 3 = 6
- M1: (12 + 6) × 3
- A1: 54
Answer: 54[3 marks] - 5
Question 5. The cost, pounds C, of a taxi journey of d km is given by C = 1.8d + k.
A journey of 10 km costs pounds 23.
Work out the value of k.Finding Equations of Linear Real-Life Graphs▶ Show worked answerHide worked answer
- M1: 23 = 1.8 × 10 + k
- M1: 1.8 × 10 = 18
- A1: k = 5
Answer: 5[3 marks]
Mixed Topic Worksheet Grades 4/5: Day 011
- 1
Question 1. Make x the subject of y = 2x + 9
[2 marks]Fundamentals of Rearranging Equations▶ Show worked answerHide worked answer
- M1: subtracts 9 from both sides, giving y - 9 = 2x
- A1: divides by 2, giving x = dfracy - 92
Answer: x = dfracy - 92 - 2
Question 2. Work out 5dfrac14 ÷ 3
[2 marks]
Give your answer as a mixed number in its simplest form.Dividing Mixed Numbers▶ Show worked answerHide worked answer
- M1: 5dfrac14=dfrac214 and dfrac214 ÷ 3 = dfrac2112
- A1: 1dfrac34
Answer: 1dfrac34 - 3
Question 3. ABC is a right-angled triangle.
[3 marks]
Calculate the length of BC.Using Pythagoras to Find a Non-Hypotenuse Side▶ Show worked answerHide worked answer
- M1: 29² - 21²
- M1: √29² - 21² = √400
- A1: 20 cm
Answer: 20 cm - 4
Question 4. Here is a prism. The cross-section is an L shape made from two rectangles.
[3 marks]
Work out the volume of the prism.Volume of Composite Shapes▶ Show worked answerHide worked answer
- M1: 6 × 2 = 12 and 2 × 3 = 6
- M1: (12 + 6) × 3
- A1: 54
Answer: 54 - 5
Question 5. The cost, pounds C, of a taxi journey of d km is given by C = 1.8d + k.
[3 marks]
A journey of 10 km costs pounds 23.
Work out the value of k.Finding Equations of Linear Real-Life Graphs▶ Show worked answerHide worked answer
- M1: 23 = 1.8 × 10 + k
- M1: 1.8 × 10 = 18
- A1: k = 5
Answer: 5
Mixed Topic Worksheet Grades 4/5: Day 011
- 1
Question 1. Make x the subject of y = 2x + 9
Fundamentals of Rearranging Equations▶ Show worked answerHide worked answer
- M1: subtracts 9 from both sides, giving y - 9 = 2x
- A1: divides by 2, giving x = dfracy - 92
Answer: x = dfracy - 92[2 marks] - 2
Question 2. Work out 5dfrac14 ÷ 3
Give your answer as a mixed number in its simplest form.Dividing Mixed Numbers▶ Show worked answerHide worked answer
- M1: 5dfrac14=dfrac214 and dfrac214 ÷ 3 = dfrac2112
- A1: 1dfrac34
Answer: 1dfrac34[2 marks] - 3
Question 3. ABC is a right-angled triangle.
Calculate the length of BC.Using Pythagoras to Find a Non-Hypotenuse Side▶ Show worked answerHide worked answer
- M1: 29² - 21²
- M1: √29² - 21² = √400
- A1: 20 cm
Answer: 20 cm[3 marks] - 4
Question 4. Here is a prism. The cross-section is an L shape made from two rectangles.
Work out the volume of the prism.Volume of Composite Shapes▶ Show worked answerHide worked answer
- M1: 6 × 2 = 12 and 2 × 3 = 6
- M1: (12 + 6) × 3
- A1: 54
Answer: 54[3 marks] - 5
Question 5. The cost, pounds C, of a taxi journey of d km is given by C = 1.8d + k.
A journey of 10 km costs pounds 23.
Work out the value of k.Finding Equations of Linear Real-Life Graphs▶ Show worked answerHide worked answer
- M1: 23 = 1.8 × 10 + k
- M1: 1.8 × 10 = 18
- A1: k = 5
Answer: 5[3 marks]