Mixed Topic Worksheet Grades 4/5: Day 068
- 1
Question 1. Shape A is drawn on the grid.
Translate shape A by the vector beginpmatrix-23endpmatrix.
Label the image B.Translations▶ Show worked answerHide worked answer
- M1: translate by 2 left and 3 up (at least two vertices, or correct size/orientation)
- A1: B with vertices (1, 4), (4, 4), (4, 5), (1, 5)
Answer: Image B has vertices (1, 4), (4, 4), (4, 5), (1, 5)[2 marks] - 2
Question 2. The nth term of a sequence is 4n + square
The 5th term of the sequence is 27
Work out the missing number.nth Term of Linear Sequences▶ Show worked answerHide worked answer
- M1: 4 × 5 = 20
- A1: 27 − 20 = 7
Answer: 7[2 marks] - 3
Question 3. A square has an area of 0.16 m².
Work out the length of one side of the square in cm.Area Conversions▶ Show worked answerHide worked answer
- M1: 0.16 × 10 000
- M1: √1600
- A1: 40
Answer: 40 cm[3 marks] - 4
Question 4. Write (2x⁻¹)³ without a negative power
Negative Powers▶ Show worked answerHide worked answer
- M1: 2³x⁻³ or 8x⁻³
- A1: dfrac8x³
Answer: dfrac8x³[2 marks] - 5
Question 5. A tank with a rectangular base 50 cm by 40 cm has vertical sides Water is poured in at 4000 cm³ per minute By how many centimetres does the depth rise each minute?
Matching Shapes to Graphs▶ Show worked answerHide worked answer
- M1: base area = 50 × 40 = 2000 cm²
- A1: 4000 ÷ 2000 = 2 cm
Answer: 2 cm per minute[2 marks]
Mixed Topic Worksheet Grades 4/5: Day 068
- 1
Question 1. Shape A is drawn on the grid.
[2 marks]
Translate shape A by the vector beginpmatrix-23endpmatrix.
Label the image B.Translations▶ Show worked answerHide worked answer
- M1: translate by 2 left and 3 up (at least two vertices, or correct size/orientation)
- A1: B with vertices (1, 4), (4, 4), (4, 5), (1, 5)
Answer: Image B has vertices (1, 4), (4, 4), (4, 5), (1, 5) - 2
Question 2. The nth term of a sequence is 4n + square
[2 marks]
The 5th term of the sequence is 27
Work out the missing number.nth Term of Linear Sequences▶ Show worked answerHide worked answer
- M1: 4 × 5 = 20
- A1: 27 − 20 = 7
Answer: 7 - 3
Question 3. A square has an area of 0.16 m².
[3 marks]
Work out the length of one side of the square in cm.Area Conversions▶ Show worked answerHide worked answer
- M1: 0.16 × 10 000
- M1: √1600
- A1: 40
Answer: 40 cm - 4
Question 4. Write (2x⁻¹)³ without a negative power
[2 marks]Negative Powers▶ Show worked answerHide worked answer
- M1: 2³x⁻³ or 8x⁻³
- A1: dfrac8x³
Answer: dfrac8x³ - 5
Question 5. A tank with a rectangular base 50 cm by 40 cm has vertical sides Water is poured in at 4000 cm³ per minute By how many centimetres does the depth rise each minute?
[2 marks]Matching Shapes to Graphs▶ Show worked answerHide worked answer
- M1: base area = 50 × 40 = 2000 cm²
- A1: 4000 ÷ 2000 = 2 cm
Answer: 2 cm per minute
Mixed Topic Worksheet Grades 4/5: Day 068
- 1
Question 1. Shape A is drawn on the grid.
Translate shape A by the vector beginpmatrix-23endpmatrix.
Label the image B.Translations▶ Show worked answerHide worked answer
- M1: translate by 2 left and 3 up (at least two vertices, or correct size/orientation)
- A1: B with vertices (1, 4), (4, 4), (4, 5), (1, 5)
Answer: Image B has vertices (1, 4), (4, 4), (4, 5), (1, 5)[2 marks] - 2
Question 2. The nth term of a sequence is 4n + square
The 5th term of the sequence is 27
Work out the missing number.nth Term of Linear Sequences▶ Show worked answerHide worked answer
- M1: 4 × 5 = 20
- A1: 27 − 20 = 7
Answer: 7[2 marks] - 3
Question 3. A square has an area of 0.16 m².
Work out the length of one side of the square in cm.Area Conversions▶ Show worked answerHide worked answer
- M1: 0.16 × 10 000
- M1: √1600
- A1: 40
Answer: 40 cm[3 marks] - 4
Question 4. Write (2x⁻¹)³ without a negative power
Negative Powers▶ Show worked answerHide worked answer
- M1: 2³x⁻³ or 8x⁻³
- A1: dfrac8x³
Answer: dfrac8x³[2 marks] - 5
Question 5. A tank with a rectangular base 50 cm by 40 cm has vertical sides Water is poured in at 4000 cm³ per minute By how many centimetres does the depth rise each minute?
Matching Shapes to Graphs▶ Show worked answerHide worked answer
- M1: base area = 50 × 40 = 2000 cm²
- A1: 4000 ÷ 2000 = 2 cm
Answer: 2 cm per minute[2 marks]