Mixed Topic Worksheet Grades 4/5: Day 028
- 1
Question 1. The stem and leaf diagram shows the times, in minutes, taken by 10 people to complete a puzzle.
Work out the median.Mean, Mode, Median & Range from Stem & Leaf Diagrams▶ Show worked answerHide worked answer
- M1: Adds the 5th and 6th values and divides by 2
- A1: 42
Answer: 42 minutes[2 marks] - 2
Question 2. A straight line has gradient 3.
The line crosses the y-axis at the point (0, -2).
Write down the equation of the line.Sketching Straight Lines Using y = mx + c▶ Show worked answerHide worked answer
- M1: y = 3x + c or y = mx - 2
- A1: y = 3x - 2
Answer: y = 3x - 2[2 marks] - 3
Question 3. A bag has counters of different colours. Jo takes a counter, records its colour and puts it back. She does this 200 times.
She gets a red counter 58 times.
Work out the relative frequency of not getting a red counter.
Give your answer as a percentage.Calculating Relative Frequency▶ Show worked answerHide worked answer
- M1: 200 - 58 = 142
- M1: 142 ÷ 200 × 100
- A1: 71%
Answer: 71%[3 marks] - 4
Question 4. The value of Mia's flat this year is £276,000
This is a 15% increase from last year.
Work out the value of the flat last year.Reverse Percentages▶ Show worked answerHide worked answer
- M1: 276,000 ÷ (1 + 15/100)
- A1: £240,000
Answer: £240,000[2 marks] - 5
Question 5. The ratio of x to y is 2 : 3
The ratio of y to z is 4 : 5
Sam writes x : y : z = 2 : 3 : 5
Is Sam correct?
You must give a reason for your answer.Combining Ratios▶ Show worked answerHide worked answer
- M1: scales to a common value of y, such as 12
- A1: No, with 8 : 12 : 15
Answer: No. y is 3 in the first ratio and 4 in the second, so the two ratios are scaled to 8 : 12 and 12 : 15, giving 8 : 12 : 15[2 marks]
Mixed Topic Worksheet Grades 4/5: Day 028
- 1
Question 1. The stem and leaf diagram shows the times, in minutes, taken by 10 people to complete a puzzle.
[2 marks]
Work out the median.Mean, Mode, Median & Range from Stem & Leaf Diagrams▶ Show worked answerHide worked answer
- M1: Adds the 5th and 6th values and divides by 2
- A1: 42
Answer: 42 minutes - 2
Question 2. A straight line has gradient 3.
[2 marks]
The line crosses the y-axis at the point (0, -2).
Write down the equation of the line.Sketching Straight Lines Using y = mx + c▶ Show worked answerHide worked answer
- M1: y = 3x + c or y = mx - 2
- A1: y = 3x - 2
Answer: y = 3x - 2 - 3
Question 3. A bag has counters of different colours. Jo takes a counter, records its colour and puts it back. She does this 200 times.
[3 marks]
She gets a red counter 58 times.
Work out the relative frequency of not getting a red counter.
Give your answer as a percentage.Calculating Relative Frequency▶ Show worked answerHide worked answer
- M1: 200 - 58 = 142
- M1: 142 ÷ 200 × 100
- A1: 71%
Answer: 71% - 4
Question 4. The value of Mia's flat this year is £276,000
[2 marks]
This is a 15% increase from last year.
Work out the value of the flat last year.Reverse Percentages▶ Show worked answerHide worked answer
- M1: 276,000 ÷ (1 + 15/100)
- A1: £240,000
Answer: £240,000 - 5
Question 5. The ratio of x to y is 2 : 3
[2 marks]
The ratio of y to z is 4 : 5
Sam writes x : y : z = 2 : 3 : 5
Is Sam correct?
You must give a reason for your answer.Combining Ratios▶ Show worked answerHide worked answer
- M1: scales to a common value of y, such as 12
- A1: No, with 8 : 12 : 15
Answer: No. y is 3 in the first ratio and 4 in the second, so the two ratios are scaled to 8 : 12 and 12 : 15, giving 8 : 12 : 15
Mixed Topic Worksheet Grades 4/5: Day 028
- 1
Question 1. The stem and leaf diagram shows the times, in minutes, taken by 10 people to complete a puzzle.
Work out the median.Mean, Mode, Median & Range from Stem & Leaf Diagrams▶ Show worked answerHide worked answer
- M1: Adds the 5th and 6th values and divides by 2
- A1: 42
Answer: 42 minutes[2 marks] - 2
Question 2. A straight line has gradient 3.
The line crosses the y-axis at the point (0, -2).
Write down the equation of the line.Sketching Straight Lines Using y = mx + c▶ Show worked answerHide worked answer
- M1: y = 3x + c or y = mx - 2
- A1: y = 3x - 2
Answer: y = 3x - 2[2 marks] - 3
Question 3. A bag has counters of different colours. Jo takes a counter, records its colour and puts it back. She does this 200 times.
She gets a red counter 58 times.
Work out the relative frequency of not getting a red counter.
Give your answer as a percentage.Calculating Relative Frequency▶ Show worked answerHide worked answer
- M1: 200 - 58 = 142
- M1: 142 ÷ 200 × 100
- A1: 71%
Answer: 71%[3 marks] - 4
Question 4. The value of Mia's flat this year is £276,000
This is a 15% increase from last year.
Work out the value of the flat last year.Reverse Percentages▶ Show worked answerHide worked answer
- M1: 276,000 ÷ (1 + 15/100)
- A1: £240,000
Answer: £240,000[2 marks] - 5
Question 5. The ratio of x to y is 2 : 3
The ratio of y to z is 4 : 5
Sam writes x : y : z = 2 : 3 : 5
Is Sam correct?
You must give a reason for your answer.Combining Ratios▶ Show worked answerHide worked answer
- M1: scales to a common value of y, such as 12
- A1: No, with 8 : 12 : 15
Answer: No. y is 3 in the first ratio and 4 in the second, so the two ratios are scaled to 8 : 12 and 12 : 15, giving 8 : 12 : 15[2 marks]