Mixed Topic Worksheet Grades 4/5: Day 075
- 1
Question 1. A circle has a radius of 14 cm.
Work out the area of the circle.
Give your answer in terms of πArea of a Circle▶ Show worked answerHide worked answer
- M1: π × 14²
- A1: 196π
Answer: 196π cm²[2 marks] - 2
Question 2. On a map, a bus stop is at (-4, 3) and a cafe is at (6, -1). Each unit on the map is 1 km.
Jo meets a friend at the point halfway between the bus stop and the cafe.
Work out the coordinates of the point where they meet.Midpoint of Two Points▶ Show worked answerHide worked answer
- M1: (-4 + 6) ÷ 2 or (3 - 1) ÷ 2
- A1: (1, 1)
Answer: (1, 1)[2 marks] - 3
Question 3. Lena flips a coin 10 times. It lands on heads 7 times.
Lena says, "The coin must be biased."
Is Lena correct?
Give a reason for your answer.Identifying Bias▶ Show worked answerHide worked answer
- B1: No
- B1: reason that there are too few flips to decide
Answer: No. Ten flips is too few to tell; a fair coin can easily land on heads 7 times in 10.[2 marks] - 4
Question 4. The table shows the waiting times of 36 customers at a shop. Work out the number of customers who waited for more than 10 minutes.
Interpreting Grouped Frequency Tables▶ Show worked answerHide worked answer
- M1: 11 + 3
- A1: 14
Answer: 14[2 marks] - 5
Question 5. The number of people at a football match is 6800, correct to the nearest 100.
The number of people is a whole number.
Write down the least possible number and the greatest possible number of people at the match.Bounds Requiring Integer Values▶ Show worked answerHide worked answer
- B1: least 6 750
- M1: the greatest is below 6 850, because 6 850 would round to 6 900
- A1: greatest 6 849
Answer: Least 6 750, greatest 6 849[3 marks]
Mixed Topic Worksheet Grades 4/5: Day 075
- 1
Question 1. A circle has a radius of 14 cm.
[2 marks]
Work out the area of the circle.
Give your answer in terms of πArea of a Circle▶ Show worked answerHide worked answer
- M1: π × 14²
- A1: 196π
Answer: 196π cm² - 2
Question 2. On a map, a bus stop is at (-4, 3) and a cafe is at (6, -1). Each unit on the map is 1 km.
[2 marks]
Jo meets a friend at the point halfway between the bus stop and the cafe.
Work out the coordinates of the point where they meet.Midpoint of Two Points▶ Show worked answerHide worked answer
- M1: (-4 + 6) ÷ 2 or (3 - 1) ÷ 2
- A1: (1, 1)
Answer: (1, 1) - 3
Question 3. Lena flips a coin 10 times. It lands on heads 7 times.
[2 marks]
Lena says, "The coin must be biased."
Is Lena correct?
Give a reason for your answer.Identifying Bias▶ Show worked answerHide worked answer
- B1: No
- B1: reason that there are too few flips to decide
Answer: No. Ten flips is too few to tell; a fair coin can easily land on heads 7 times in 10. - 4
Question 4. The table shows the waiting times of 36 customers at a shop. Work out the number of customers who waited for more than 10 minutes.
[2 marks]Interpreting Grouped Frequency Tables▶ Show worked answerHide worked answer
- M1: 11 + 3
- A1: 14
Answer: 14 - 5
Question 5. The number of people at a football match is 6800, correct to the nearest 100.
[3 marks]
The number of people is a whole number.
Write down the least possible number and the greatest possible number of people at the match.Bounds Requiring Integer Values▶ Show worked answerHide worked answer
- B1: least 6 750
- M1: the greatest is below 6 850, because 6 850 would round to 6 900
- A1: greatest 6 849
Answer: Least 6 750, greatest 6 849
Mixed Topic Worksheet Grades 4/5: Day 075
- 1
Question 1. A circle has a radius of 14 cm.
Work out the area of the circle.
Give your answer in terms of πArea of a Circle▶ Show worked answerHide worked answer
- M1: π × 14²
- A1: 196π
Answer: 196π cm²[2 marks] - 2
Question 2. On a map, a bus stop is at (-4, 3) and a cafe is at (6, -1). Each unit on the map is 1 km.
Jo meets a friend at the point halfway between the bus stop and the cafe.
Work out the coordinates of the point where they meet.Midpoint of Two Points▶ Show worked answerHide worked answer
- M1: (-4 + 6) ÷ 2 or (3 - 1) ÷ 2
- A1: (1, 1)
Answer: (1, 1)[2 marks] - 3
Question 3. Lena flips a coin 10 times. It lands on heads 7 times.
Lena says, "The coin must be biased."
Is Lena correct?
Give a reason for your answer.Identifying Bias▶ Show worked answerHide worked answer
- B1: No
- B1: reason that there are too few flips to decide
Answer: No. Ten flips is too few to tell; a fair coin can easily land on heads 7 times in 10.[2 marks] - 4
Question 4. The table shows the waiting times of 36 customers at a shop. Work out the number of customers who waited for more than 10 minutes.
Interpreting Grouped Frequency Tables▶ Show worked answerHide worked answer
- M1: 11 + 3
- A1: 14
Answer: 14[2 marks] - 5
Question 5. The number of people at a football match is 6800, correct to the nearest 100.
The number of people is a whole number.
Write down the least possible number and the greatest possible number of people at the match.Bounds Requiring Integer Values▶ Show worked answerHide worked answer
- B1: least 6 750
- M1: the greatest is below 6 850, because 6 850 would round to 6 900
- A1: greatest 6 849
Answer: Least 6 750, greatest 6 849[3 marks]