Mixed Topic Worksheet Grades 4/5: Day 036
- 1
Question 1. Dan converts a decimal into the fraction dfrac1725 Work out the decimal that Dan started with.
Writing Decimals & Percentages as Fractions▶ Show worked answerHide worked answer
- M1: Multiplies top and bottom by 4 to get a denominator of 100
- A1: 0.68
Answer: 0.68[2 marks] - 2
Question 2. A bag contains red counters and blue counters.
The probability of taking a red counter at random is 35%
There are 21 red counters in the bag.
Work out the total number of counters in the bag.Expressing Probabilities in Different Forms▶ Show worked answerHide worked answer
- M1: 21 ÷ 35 × 100 or 21 ÷ 0.35
- A1: 60
Answer: 60[2 marks] - 3
Question 3. The table shows the frequencies of the times, t. Write down the coordinates of the points to plot on a frequency polygon.
Sketching Frequency Polygons▶ Show worked answerHide worked answer
- M1: midpoints 5, 20, 35
- A1: (5, 4), (20, 9), (35, 5)
Answer: (5, 4), (20, 9), (35, 5)[2 marks] - 4
Question 4. The diagram shows a quarter circle with a radius of 10 cm.
Work out the length of the curved edge of the quarter circle.
Give your answer to 1 decimal place.Length of a Circle Arc▶ Show worked answerHide worked answer
- M1: 1/4 × 2 × π × 10
- A1: 15.7
Answer: 15.7[2 marks] - 5
Question 5. The ratio of the number of cats c to the number of dogs d in a shelter is 2 : 5
Nadia writes 2c = 5d
Is Nadia correct?
You must give a reason for your answer.Expressing Ratios as Linear Equations▶ Show worked answerHide worked answer
- M1: tries values that fit the ratio, such as c = 2 and d = 5, in her equation
- A1: No, with 5c = 2d
Answer: No. When c = 2 and d = 5 the equation gives 4 = 25. The equation should be 5c = 2d[2 marks]
Mixed Topic Worksheet Grades 4/5: Day 036
- 1
Question 1. Dan converts a decimal into the fraction dfrac1725 Work out the decimal that Dan started with.
[2 marks]Writing Decimals & Percentages as Fractions▶ Show worked answerHide worked answer
- M1: Multiplies top and bottom by 4 to get a denominator of 100
- A1: 0.68
Answer: 0.68 - 2
Question 2. A bag contains red counters and blue counters.
[2 marks]
The probability of taking a red counter at random is 35%
There are 21 red counters in the bag.
Work out the total number of counters in the bag.Expressing Probabilities in Different Forms▶ Show worked answerHide worked answer
- M1: 21 ÷ 35 × 100 or 21 ÷ 0.35
- A1: 60
Answer: 60 - 3
Question 3. The table shows the frequencies of the times, t. Write down the coordinates of the points to plot on a frequency polygon.
[2 marks]Sketching Frequency Polygons▶ Show worked answerHide worked answer
- M1: midpoints 5, 20, 35
- A1: (5, 4), (20, 9), (35, 5)
Answer: (5, 4), (20, 9), (35, 5) - 4
Question 4. The diagram shows a quarter circle with a radius of 10 cm.
[2 marks]
Work out the length of the curved edge of the quarter circle.
Give your answer to 1 decimal place.Length of a Circle Arc▶ Show worked answerHide worked answer
- M1: 1/4 × 2 × π × 10
- A1: 15.7
Answer: 15.7 - 5
Question 5. The ratio of the number of cats c to the number of dogs d in a shelter is 2 : 5
[2 marks]
Nadia writes 2c = 5d
Is Nadia correct?
You must give a reason for your answer.Expressing Ratios as Linear Equations▶ Show worked answerHide worked answer
- M1: tries values that fit the ratio, such as c = 2 and d = 5, in her equation
- A1: No, with 5c = 2d
Answer: No. When c = 2 and d = 5 the equation gives 4 = 25. The equation should be 5c = 2d
Mixed Topic Worksheet Grades 4/5: Day 036
- 1
Question 1. Dan converts a decimal into the fraction dfrac1725 Work out the decimal that Dan started with.
Writing Decimals & Percentages as Fractions▶ Show worked answerHide worked answer
- M1: Multiplies top and bottom by 4 to get a denominator of 100
- A1: 0.68
Answer: 0.68[2 marks] - 2
Question 2. A bag contains red counters and blue counters.
The probability of taking a red counter at random is 35%
There are 21 red counters in the bag.
Work out the total number of counters in the bag.Expressing Probabilities in Different Forms▶ Show worked answerHide worked answer
- M1: 21 ÷ 35 × 100 or 21 ÷ 0.35
- A1: 60
Answer: 60[2 marks] - 3
Question 3. The table shows the frequencies of the times, t. Write down the coordinates of the points to plot on a frequency polygon.
Sketching Frequency Polygons▶ Show worked answerHide worked answer
- M1: midpoints 5, 20, 35
- A1: (5, 4), (20, 9), (35, 5)
Answer: (5, 4), (20, 9), (35, 5)[2 marks] - 4
Question 4. The diagram shows a quarter circle with a radius of 10 cm.
Work out the length of the curved edge of the quarter circle.
Give your answer to 1 decimal place.Length of a Circle Arc▶ Show worked answerHide worked answer
- M1: 1/4 × 2 × π × 10
- A1: 15.7
Answer: 15.7[2 marks] - 5
Question 5. The ratio of the number of cats c to the number of dogs d in a shelter is 2 : 5
Nadia writes 2c = 5d
Is Nadia correct?
You must give a reason for your answer.Expressing Ratios as Linear Equations▶ Show worked answerHide worked answer
- M1: tries values that fit the ratio, such as c = 2 and d = 5, in her equation
- A1: No, with 5c = 2d
Answer: No. When c = 2 and d = 5 the equation gives 4 = 25. The equation should be 5c = 2d[2 marks]