Mixed Topic Worksheet Grades 4/5: Day 091
- 1
Question 1. The stem and leaf diagram shows the lengths, in centimetres, of 13 ribbons.
Priya says, "The mode is 6 because 6 is the leaf that appears most often."
Priya is not correct. Work out the mode and explain Priya's mistake.Mean, Mode, Median & Range from Stem & Leaf Diagrams▶ Show worked answerHide worked answer
- B1: 24
- B1: The leaf 6 belongs to four different values (16, 26, 36 and 46)
Answer: The mode is 24 cm; the leaf 6 belongs to four different values[2 marks] - 2
Question 2. Zara flips a coin 100 times. It lands on heads 51 times.
Zara says, "The coin is fair."
Does Zara's result support what she says?
Give a reason for your answer.Identifying Bias▶ Show worked answerHide worked answer
- B1: Yes
- B1: reason that 51 is close to the 50 heads expected
Answer: Yes. 51 heads is very close to the 50 expected from a fair coin.[2 marks] - 3
Question 3. Here is a triangular prism with a right-angled triangle as its cross-section.
The volume of the prism is 540 cm³.
Work out the height, h cm, of the triangle.Volume of Prisms▶ Show worked answerHide worked answer
- M1: 1/2 × 9 × h × 12 = 540
- M1: h = 540 ÷ 54
- A1: 10
Answer: 10[3 marks] - 4
Question 4. The mass of a stone is 48 g, truncated to a whole number of grams.
Write down the upper bound of the mass.Bounds & Error Intervals for Truncated Decimals▶ Show worked answerHide worked answer
- M1: 48 + 1
- A1: 49
Answer: 49 g[2 marks] - 5
Question 5. The sum of two numbers is 47.
The difference between the two numbers is 13.
Work out the larger number.Applied Simultaneous Equations Problems▶ Show worked answerHide worked answer
- M1: Form the equations x + y = 47 and x - y = 13
- M1: Add the equations: 2x = 60
- A1: 30
Answer: 30[3 marks]
Mixed Topic Worksheet Grades 4/5: Day 091
- 1
Question 1. The stem and leaf diagram shows the lengths, in centimetres, of 13 ribbons.
[2 marks]
Priya says, "The mode is 6 because 6 is the leaf that appears most often."
Priya is not correct. Work out the mode and explain Priya's mistake.Mean, Mode, Median & Range from Stem & Leaf Diagrams▶ Show worked answerHide worked answer
- B1: 24
- B1: The leaf 6 belongs to four different values (16, 26, 36 and 46)
Answer: The mode is 24 cm; the leaf 6 belongs to four different values - 2
Question 2. Zara flips a coin 100 times. It lands on heads 51 times.
[2 marks]
Zara says, "The coin is fair."
Does Zara's result support what she says?
Give a reason for your answer.Identifying Bias▶ Show worked answerHide worked answer
- B1: Yes
- B1: reason that 51 is close to the 50 heads expected
Answer: Yes. 51 heads is very close to the 50 expected from a fair coin. - 3
Question 3. Here is a triangular prism with a right-angled triangle as its cross-section.
[3 marks]
The volume of the prism is 540 cm³.
Work out the height, h cm, of the triangle.Volume of Prisms▶ Show worked answerHide worked answer
- M1: 1/2 × 9 × h × 12 = 540
- M1: h = 540 ÷ 54
- A1: 10
Answer: 10 - 4
Question 4. The mass of a stone is 48 g, truncated to a whole number of grams.
[2 marks]
Write down the upper bound of the mass.Bounds & Error Intervals for Truncated Decimals▶ Show worked answerHide worked answer
- M1: 48 + 1
- A1: 49
Answer: 49 g - 5
Question 5. The sum of two numbers is 47.
[3 marks]
The difference between the two numbers is 13.
Work out the larger number.Applied Simultaneous Equations Problems▶ Show worked answerHide worked answer
- M1: Form the equations x + y = 47 and x - y = 13
- M1: Add the equations: 2x = 60
- A1: 30
Answer: 30
Mixed Topic Worksheet Grades 4/5: Day 091
- 1
Question 1. The stem and leaf diagram shows the lengths, in centimetres, of 13 ribbons.
Priya says, "The mode is 6 because 6 is the leaf that appears most often."
Priya is not correct. Work out the mode and explain Priya's mistake.Mean, Mode, Median & Range from Stem & Leaf Diagrams▶ Show worked answerHide worked answer
- B1: 24
- B1: The leaf 6 belongs to four different values (16, 26, 36 and 46)
Answer: The mode is 24 cm; the leaf 6 belongs to four different values[2 marks] - 2
Question 2. Zara flips a coin 100 times. It lands on heads 51 times.
Zara says, "The coin is fair."
Does Zara's result support what she says?
Give a reason for your answer.Identifying Bias▶ Show worked answerHide worked answer
- B1: Yes
- B1: reason that 51 is close to the 50 heads expected
Answer: Yes. 51 heads is very close to the 50 expected from a fair coin.[2 marks] - 3
Question 3. Here is a triangular prism with a right-angled triangle as its cross-section.
The volume of the prism is 540 cm³.
Work out the height, h cm, of the triangle.Volume of Prisms▶ Show worked answerHide worked answer
- M1: 1/2 × 9 × h × 12 = 540
- M1: h = 540 ÷ 54
- A1: 10
Answer: 10[3 marks] - 4
Question 4. The mass of a stone is 48 g, truncated to a whole number of grams.
Write down the upper bound of the mass.Bounds & Error Intervals for Truncated Decimals▶ Show worked answerHide worked answer
- M1: 48 + 1
- A1: 49
Answer: 49 g[2 marks] - 5
Question 5. The sum of two numbers is 47.
The difference between the two numbers is 13.
Work out the larger number.Applied Simultaneous Equations Problems▶ Show worked answerHide worked answer
- M1: Form the equations x + y = 47 and x - y = 13
- M1: Add the equations: 2x = 60
- A1: 30
Answer: 30[3 marks]