Mixed Topic Worksheet Grades 1/2/3: Day 002
- 1
Question 1. Zoe needs a solid with exactly 6 vertices.
Which of the solids A, B or C should she choose?
Give a reason for your answer.Faces, Edges & Vertices▶ Show worked answerHide worked answer
- B1: B (the triangular prism)
- B1: a reason: it has 3 vertices at each end, 3 + 3 = 6
Answer: B, because a triangular prism has 6 vertices[2 marks] - 2
Question 2. A bag contains 12 counters.
The probability of taking a green counter at random is dfrac14.
Work out the number of green counters in the bag.Fundamentals of Probability▶ Show worked answerHide worked answer
- M1: 12 ÷ 4 or dfrac14 of 12
- A1: 3
Answer: 3[2 marks] - 3
Question 3. Simplify 4x² + 3x - x² - 7x
Collecting Like Terms▶ Show worked answerHide worked answer
- B1: 3x²
- B1: -4x
Answer: 3x² - 4x[2 marks] - 4
Question 4. Ali is given £7.85.
Ali then has £23.40.
Work out how much money Ali had before he was given the £7.85.Adding Decimals▶ Show worked answerHide worked answer
- M1: 23.40 - 7.85
- A1: £15.55
Answer: £15.55[2 marks] - 5
Question 5. Kim wants to know what people in her town think about the bus service.
She asks the first 10 people she meets in the town centre.
Kim says, "This is a random sample because I did not choose who to ask."
Is Kim correct?
Give a reason for your answer.Identifying Biased Samples▶ Show worked answerHide worked answer
- B1: No
- B1: people who are not in the town centre have no chance of being asked (so not everyone has an equal chance)
Answer: No; people who are not in the town centre have no chance of being asked[2 marks]
Mixed Topic Worksheet Grades 1/2/3: Day 002
- 1
Question 1. Zoe needs a solid with exactly 6 vertices.
[2 marks]
Which of the solids A, B or C should she choose?
Give a reason for your answer.Faces, Edges & Vertices▶ Show worked answerHide worked answer
- B1: B (the triangular prism)
- B1: a reason: it has 3 vertices at each end, 3 + 3 = 6
Answer: B, because a triangular prism has 6 vertices - 2
Question 2. A bag contains 12 counters.
[2 marks]
The probability of taking a green counter at random is dfrac14.
Work out the number of green counters in the bag.Fundamentals of Probability▶ Show worked answerHide worked answer
- M1: 12 ÷ 4 or dfrac14 of 12
- A1: 3
Answer: 3 - 3
Question 3. Simplify 4x² + 3x - x² - 7x
[2 marks]Collecting Like Terms▶ Show worked answerHide worked answer
- B1: 3x²
- B1: -4x
Answer: 3x² - 4x - 4
Question 4. Ali is given £7.85.
[2 marks]
Ali then has £23.40.
Work out how much money Ali had before he was given the £7.85.Adding Decimals▶ Show worked answerHide worked answer
- M1: 23.40 - 7.85
- A1: £15.55
Answer: £15.55 - 5
Question 5. Kim wants to know what people in her town think about the bus service.
[2 marks]
She asks the first 10 people she meets in the town centre.
Kim says, "This is a random sample because I did not choose who to ask."
Is Kim correct?
Give a reason for your answer.Identifying Biased Samples▶ Show worked answerHide worked answer
- B1: No
- B1: people who are not in the town centre have no chance of being asked (so not everyone has an equal chance)
Answer: No; people who are not in the town centre have no chance of being asked
Mixed Topic Worksheet Grades 1/2/3: Day 002
- 1
Question 1. Zoe needs a solid with exactly 6 vertices.
Which of the solids A, B or C should she choose?
Give a reason for your answer.Faces, Edges & Vertices▶ Show worked answerHide worked answer
- B1: B (the triangular prism)
- B1: a reason: it has 3 vertices at each end, 3 + 3 = 6
Answer: B, because a triangular prism has 6 vertices[2 marks] - 2
Question 2. A bag contains 12 counters.
The probability of taking a green counter at random is dfrac14.
Work out the number of green counters in the bag.Fundamentals of Probability▶ Show worked answerHide worked answer
- M1: 12 ÷ 4 or dfrac14 of 12
- A1: 3
Answer: 3[2 marks] - 3
Question 3. Simplify 4x² + 3x - x² - 7x
Collecting Like Terms▶ Show worked answerHide worked answer
- B1: 3x²
- B1: -4x
Answer: 3x² - 4x[2 marks] - 4
Question 4. Ali is given £7.85.
Ali then has £23.40.
Work out how much money Ali had before he was given the £7.85.Adding Decimals▶ Show worked answerHide worked answer
- M1: 23.40 - 7.85
- A1: £15.55
Answer: £15.55[2 marks] - 5
Question 5. Kim wants to know what people in her town think about the bus service.
She asks the first 10 people she meets in the town centre.
Kim says, "This is a random sample because I did not choose who to ask."
Is Kim correct?
Give a reason for your answer.Identifying Biased Samples▶ Show worked answerHide worked answer
- B1: No
- B1: people who are not in the town centre have no chance of being asked (so not everyone has an equal chance)
Answer: No; people who are not in the town centre have no chance of being asked[2 marks]