Mixed Topic Worksheet Grades 4/5: Day 015
- 1
Question 1. A class has 20 boys and 10 girls.
Ravi takes a simple random sample of 6 students from the class.
Ravi says, "My sample must have exactly 4 boys and 2 girls."
Is Ravi correct?
Give a reason for your answer.Simple Random Sampling▶ Show worked answerHide worked answer
- B1: No
- C1: students are chosen by chance, so the sample could have a different number of boys and girls
Answer: No, the number of boys in a random sample can change[2 marks] - 2
Question 2. A bag contains 48 counters.
Each counter is red or blue.
number of red counters : number of blue counters = 3 : 5
Work out the number of red counters in the bag.Proportional Division▶ Show worked answerHide worked answer
- M1: 3 + 5 = 8 parts, so 48 ÷ 8 = 6
- A1: 18
Answer: 18[2 marks] - 3
Question 3. A dice is rolled 200 times. It lands on a 6 on 38 of the rolls.
Work out the relative frequency of a 6.
Give your answer as a percentage.Calculating Relative Frequency▶ Show worked answerHide worked answer
- M1: 38 ÷ 200 or dfrac38200 × 100
- A1: 19%
Answer: 19%[2 marks] - 4
Question 4. Work out 2 × 4⁻².
Negative Powers▶ Show worked answerHide worked answer
- M1: 4⁻² = dfrac116
- A1: dfrac18
Answer: dfrac18[2 marks] - 5
Question 5. Here is a speed-time graph for a train journey.
Sam says, "The train spent longer speeding up than travelling at a constant speed."
Is Sam correct?
You must show your working.Key Regions on Speed-Time Graphs▶ Show worked answerHide worked answer
- M1: 15 - 0 = 15 seconds speeding up
- M1: 40 - 15 = 25 seconds at constant speed
- C1: No, 15 is less than 25
Answer: No: 15 seconds speeding up is less than 25 seconds at a constant speed[3 marks]
Mixed Topic Worksheet Grades 4/5: Day 015
- 1
Question 1. A class has 20 boys and 10 girls.
[2 marks]
Ravi takes a simple random sample of 6 students from the class.
Ravi says, "My sample must have exactly 4 boys and 2 girls."
Is Ravi correct?
Give a reason for your answer.Simple Random Sampling▶ Show worked answerHide worked answer
- B1: No
- C1: students are chosen by chance, so the sample could have a different number of boys and girls
Answer: No, the number of boys in a random sample can change - 2
Question 2. A bag contains 48 counters.
[2 marks]
Each counter is red or blue.
number of red counters : number of blue counters = 3 : 5
Work out the number of red counters in the bag.Proportional Division▶ Show worked answerHide worked answer
- M1: 3 + 5 = 8 parts, so 48 ÷ 8 = 6
- A1: 18
Answer: 18 - 3
Question 3. A dice is rolled 200 times. It lands on a 6 on 38 of the rolls.
[2 marks]
Work out the relative frequency of a 6.
Give your answer as a percentage.Calculating Relative Frequency▶ Show worked answerHide worked answer
- M1: 38 ÷ 200 or dfrac38200 × 100
- A1: 19%
Answer: 19% - 4
Question 4. Work out 2 × 4⁻².
[2 marks]Negative Powers▶ Show worked answerHide worked answer
- M1: 4⁻² = dfrac116
- A1: dfrac18
Answer: dfrac18 - 5
Question 5. Here is a speed-time graph for a train journey.
[3 marks]
Sam says, "The train spent longer speeding up than travelling at a constant speed."
Is Sam correct?
You must show your working.Key Regions on Speed-Time Graphs▶ Show worked answerHide worked answer
- M1: 15 - 0 = 15 seconds speeding up
- M1: 40 - 15 = 25 seconds at constant speed
- C1: No, 15 is less than 25
Answer: No: 15 seconds speeding up is less than 25 seconds at a constant speed
Mixed Topic Worksheet Grades 4/5: Day 015
- 1
Question 1. A class has 20 boys and 10 girls.
Ravi takes a simple random sample of 6 students from the class.
Ravi says, "My sample must have exactly 4 boys and 2 girls."
Is Ravi correct?
Give a reason for your answer.Simple Random Sampling▶ Show worked answerHide worked answer
- B1: No
- C1: students are chosen by chance, so the sample could have a different number of boys and girls
Answer: No, the number of boys in a random sample can change[2 marks] - 2
Question 2. A bag contains 48 counters.
Each counter is red or blue.
number of red counters : number of blue counters = 3 : 5
Work out the number of red counters in the bag.Proportional Division▶ Show worked answerHide worked answer
- M1: 3 + 5 = 8 parts, so 48 ÷ 8 = 6
- A1: 18
Answer: 18[2 marks] - 3
Question 3. A dice is rolled 200 times. It lands on a 6 on 38 of the rolls.
Work out the relative frequency of a 6.
Give your answer as a percentage.Calculating Relative Frequency▶ Show worked answerHide worked answer
- M1: 38 ÷ 200 or dfrac38200 × 100
- A1: 19%
Answer: 19%[2 marks] - 4
Question 4. Work out 2 × 4⁻².
Negative Powers▶ Show worked answerHide worked answer
- M1: 4⁻² = dfrac116
- A1: dfrac18
Answer: dfrac18[2 marks] - 5
Question 5. Here is a speed-time graph for a train journey.
Sam says, "The train spent longer speeding up than travelling at a constant speed."
Is Sam correct?
You must show your working.Key Regions on Speed-Time Graphs▶ Show worked answerHide worked answer
- M1: 15 - 0 = 15 seconds speeding up
- M1: 40 - 15 = 25 seconds at constant speed
- C1: No, 15 is less than 25
Answer: No: 15 seconds speeding up is less than 25 seconds at a constant speed[3 marks]