Mixed Topic Worksheet Grades 4/5: Day 046
- 1
Question 1. Ali is working out 4³. Ali's working: 4³ = 4 × 3 = 12. Work out the correct value of 4³ and describe what Ali did.
Powers Greater than Two▶ Show worked answerHide worked answer
- M1: 4 × 4 × 4
- A1: 64 with a description of Ali's error
Answer: 64. Ali multiplied 4 by 3 instead of multiplying three 4s together[2 marks] - 2
Question 2. The probability that a train is late is estimated as 0.15 from a sample of 120 trains.
Work out the number of trains in the sample that were late.Best Relative Frequency Estimates▶ Show worked answerHide worked answer
- M1: 0.15 × 120
- A1: 18
Answer: 18[2 marks] - 3
Question 3. Ali enlarges a rectangle 2 cm by 3 cm by scale factor 3.
He says the enlarged rectangle is 5 cm by 6 cm.
Is Ali correct? You must show your working.Enlargements with Positive Integer Scale Factors▶ Show worked answerHide worked answer
- M1: enlarged sides 2 × 3 = 6 and 3 × 3 = 9
- A1: 6 cm by 9 cm, so Ali is not correct
Answer: No. The rectangle is 6 cm by 9 cm.[2 marks] - 4
Question 4. Change a speed of 12 metres per second to kilometres per hour.
Converting Compound Measures▶ Show worked answerHide worked answer
- M1: 12 × 3600 ÷ 1000
- A1: 43.2
Answer: 43.2 km/h[2 marks] - 5
Question 5. Solve 11 ≤ 4x - 5 < 31
Solving Compound Inequalities▶ Show worked answerHide worked answer
- M1: 16 ≤ 4x < 36 (adds 5 to all three parts)
- M1: divides all three parts by 4
- A1: 4 ≤ x < 9
Answer: 4 ≤ x < 9[3 marks]
Mixed Topic Worksheet Grades 4/5: Day 046
- 1
Question 1. Ali is working out 4³. Ali's working: 4³ = 4 × 3 = 12. Work out the correct value of 4³ and describe what Ali did.
[2 marks]Powers Greater than Two▶ Show worked answerHide worked answer
- M1: 4 × 4 × 4
- A1: 64 with a description of Ali's error
Answer: 64. Ali multiplied 4 by 3 instead of multiplying three 4s together - 2
Question 2. The probability that a train is late is estimated as 0.15 from a sample of 120 trains.
[2 marks]
Work out the number of trains in the sample that were late.Best Relative Frequency Estimates▶ Show worked answerHide worked answer
- M1: 0.15 × 120
- A1: 18
Answer: 18 - 3
Question 3. Ali enlarges a rectangle 2 cm by 3 cm by scale factor 3.
[2 marks]
He says the enlarged rectangle is 5 cm by 6 cm.
Is Ali correct? You must show your working.Enlargements with Positive Integer Scale Factors▶ Show worked answerHide worked answer
- M1: enlarged sides 2 × 3 = 6 and 3 × 3 = 9
- A1: 6 cm by 9 cm, so Ali is not correct
Answer: No. The rectangle is 6 cm by 9 cm. - 4
Question 4. Change a speed of 12 metres per second to kilometres per hour.
[2 marks]Converting Compound Measures▶ Show worked answerHide worked answer
- M1: 12 × 3600 ÷ 1000
- A1: 43.2
Answer: 43.2 km/h - 5
Question 5. Solve 11 ≤ 4x - 5 < 31
[3 marks]Solving Compound Inequalities▶ Show worked answerHide worked answer
- M1: 16 ≤ 4x < 36 (adds 5 to all three parts)
- M1: divides all three parts by 4
- A1: 4 ≤ x < 9
Answer: 4 ≤ x < 9
Mixed Topic Worksheet Grades 4/5: Day 046
- 1
Question 1. Ali is working out 4³. Ali's working: 4³ = 4 × 3 = 12. Work out the correct value of 4³ and describe what Ali did.
Powers Greater than Two▶ Show worked answerHide worked answer
- M1: 4 × 4 × 4
- A1: 64 with a description of Ali's error
Answer: 64. Ali multiplied 4 by 3 instead of multiplying three 4s together[2 marks] - 2
Question 2. The probability that a train is late is estimated as 0.15 from a sample of 120 trains.
Work out the number of trains in the sample that were late.Best Relative Frequency Estimates▶ Show worked answerHide worked answer
- M1: 0.15 × 120
- A1: 18
Answer: 18[2 marks] - 3
Question 3. Ali enlarges a rectangle 2 cm by 3 cm by scale factor 3.
He says the enlarged rectangle is 5 cm by 6 cm.
Is Ali correct? You must show your working.Enlargements with Positive Integer Scale Factors▶ Show worked answerHide worked answer
- M1: enlarged sides 2 × 3 = 6 and 3 × 3 = 9
- A1: 6 cm by 9 cm, so Ali is not correct
Answer: No. The rectangle is 6 cm by 9 cm.[2 marks] - 4
Question 4. Change a speed of 12 metres per second to kilometres per hour.
Converting Compound Measures▶ Show worked answerHide worked answer
- M1: 12 × 3600 ÷ 1000
- A1: 43.2
Answer: 43.2 km/h[2 marks] - 5
Question 5. Solve 11 ≤ 4x - 5 < 31
Solving Compound Inequalities▶ Show worked answerHide worked answer
- M1: 16 ≤ 4x < 36 (adds 5 to all three parts)
- M1: divides all three parts by 4
- A1: 4 ≤ x < 9
Answer: 4 ≤ x < 9[3 marks]