Mixed Topic Worksheet Grades 4/5: Day 032
- 1
Question 1. Here is a cube with edges of length 4 cm.
Work out the surface area of the cube.Surface Area of Cubes & Cuboids▶ Show worked answerHide worked answer
- M1: 6 × 4 × 4
- A1: 96
Answer: 96 cm²[2 marks] - 2
Question 2. Write 3.6 × 10² as an ordinary number.
Standard Form Conversions▶ Show worked answerHide worked answer
- B1: 360
Answer: 360[1 mark] - 3
Question 3. The bar chart shows the number of cars owned by each of the households in a street. Work out the number of households that own more than 2 cars.
Interpreting Ungrouped Frequency Tables▶ Show worked answerHide worked answer
- M1: 6 + 3 + 1
- A1: 10
Answer: 10[2 marks] - 4
Question 4. Femi says that b⁴ > b² for every positive number b.
Show that Femi is wrong.Proof by Counterexample▶ Show worked answerHide worked answer
- M1: b = 0.5 substituted into b⁴, 0.5⁴
- A1: both sides evaluated and shown to differ, for example b = 0.5 gives 0.0625 and 0.25
- C1: concluding sentence: Femi is wrong because b⁴ is not greater than b² when b = 0.5
Answer: b = 0.5: b⁴ = 0.0625 and b² = 0.25[3 marks] - 5
Question 5. Here is a speed-time graph for a cyclist's 80 second journey.
(a) Work out the acceleration in the first 10 seconds. State the units. [2]
(b) Work out the acceleration in the last 20 seconds. [2]Calculating Acceleration Using Speed-Time Graphs▶ Show worked answerHide worked answer
- (a) M1: (8 - 0) ÷ 10
- (a) A1: 0.8 m/s²
- (b) M1: (2 - 8) ÷ 20
- (b) A1: -0.3 m/s²
Answer: (a) 0.8 m/s²; (b) -0.3 m/s²[4 marks]
Mixed Topic Worksheet Grades 4/5: Day 032
- 1
Question 1. Here is a cube with edges of length 4 cm.
[2 marks]
Work out the surface area of the cube.Surface Area of Cubes & Cuboids▶ Show worked answerHide worked answer
- M1: 6 × 4 × 4
- A1: 96
Answer: 96 cm² - 2
Question 2. Write 3.6 × 10² as an ordinary number.
[1 mark]Standard Form Conversions▶ Show worked answerHide worked answer
- B1: 360
Answer: 360 - 3
Question 3. The bar chart shows the number of cars owned by each of the households in a street. Work out the number of households that own more than 2 cars.
[2 marks]Interpreting Ungrouped Frequency Tables▶ Show worked answerHide worked answer
- M1: 6 + 3 + 1
- A1: 10
Answer: 10 - 4
Question 4. Femi says that b⁴ > b² for every positive number b.
[3 marks]
Show that Femi is wrong.Proof by Counterexample▶ Show worked answerHide worked answer
- M1: b = 0.5 substituted into b⁴, 0.5⁴
- A1: both sides evaluated and shown to differ, for example b = 0.5 gives 0.0625 and 0.25
- C1: concluding sentence: Femi is wrong because b⁴ is not greater than b² when b = 0.5
Answer: b = 0.5: b⁴ = 0.0625 and b² = 0.25 - 5
Question 5. Here is a speed-time graph for a cyclist's 80 second journey.
[4 marks]
(a) Work out the acceleration in the first 10 seconds. State the units. [2]
(b) Work out the acceleration in the last 20 seconds. [2]Calculating Acceleration Using Speed-Time Graphs▶ Show worked answerHide worked answer
- (a) M1: (8 - 0) ÷ 10
- (a) A1: 0.8 m/s²
- (b) M1: (2 - 8) ÷ 20
- (b) A1: -0.3 m/s²
Answer: (a) 0.8 m/s²; (b) -0.3 m/s²
Mixed Topic Worksheet Grades 4/5: Day 032
- 1
Question 1. Here is a cube with edges of length 4 cm.
Work out the surface area of the cube.Surface Area of Cubes & Cuboids▶ Show worked answerHide worked answer
- M1: 6 × 4 × 4
- A1: 96
Answer: 96 cm²[2 marks] - 2
Question 2. Write 3.6 × 10² as an ordinary number.
Standard Form Conversions▶ Show worked answerHide worked answer
- B1: 360
Answer: 360[1 mark] - 3
Question 3. The bar chart shows the number of cars owned by each of the households in a street. Work out the number of households that own more than 2 cars.
Interpreting Ungrouped Frequency Tables▶ Show worked answerHide worked answer
- M1: 6 + 3 + 1
- A1: 10
Answer: 10[2 marks] - 4
Question 4. Femi says that b⁴ > b² for every positive number b.
Show that Femi is wrong.Proof by Counterexample▶ Show worked answerHide worked answer
- M1: b = 0.5 substituted into b⁴, 0.5⁴
- A1: both sides evaluated and shown to differ, for example b = 0.5 gives 0.0625 and 0.25
- C1: concluding sentence: Femi is wrong because b⁴ is not greater than b² when b = 0.5
Answer: b = 0.5: b⁴ = 0.0625 and b² = 0.25[3 marks] - 5
Question 5. Here is a speed-time graph for a cyclist's 80 second journey.
(a) Work out the acceleration in the first 10 seconds. State the units. [2]
(b) Work out the acceleration in the last 20 seconds. [2]Calculating Acceleration Using Speed-Time Graphs▶ Show worked answerHide worked answer
- (a) M1: (8 - 0) ÷ 10
- (a) A1: 0.8 m/s²
- (b) M1: (2 - 8) ÷ 20
- (b) A1: -0.3 m/s²
Answer: (a) 0.8 m/s²; (b) -0.3 m/s²[4 marks]