Mixed Topic Worksheet Grades 6/7: Day 079
- 1
Question 1. A straight line has gradient -3.
It passes through the point (2, 4) and the point (5, k).
Work out the value of k.Equations of a Straight Line with a Point & a Gradient▶ Show worked answerHide worked answer
- M1: 4 = -3 × 2 + c so c = 10
- M1: -3 × 5 + 10
- A1: k = -5
Answer: -5[3 marks] - 2
Question 2. The table gives information about the test scores of two classes.
Class A: median 52, interquartile range 18
Class B: median 47, interquartile range 11
Compare the distributions of the scores of the two classes.Comparing Data Using Box Plots▶ Show worked answerHide worked answer
- C1: class A has the higher median (52 against 47), so class A did better on average
- C1: class B has the smaller interquartile range (11 against 18), so class B's scores are more consistent
Answer: Class A scored higher on average (median 52 against 47); class B's scores were more consistent (interquartile range 11 against 18)[2 marks] - 3
Question 3. Simplify fully dfracx² + x - 12x - 3
Simplifying Algebraic Fractions▶ Show worked answerHide worked answer
- M1: numerator (x + 4)(x - 3)
- A1: x + 4
Answer: x + 4[2 marks] - 4
Question 4. 0.dot6dot3 = dfracn11
Work out the value of n.
You must show all your working.Writing Recurring Decimals as Fractions▶ Show worked answerHide worked answer
- M1: multiplies by 100 and subtracts x, so the recurring parts cancel
- M1: 99x = 63, so x = dfrac6399 = dfrac711
- A1: n = 7
Answer: 7[3 marks] - 5
Question 5. Here is a frustum of a square-based pyramid. The base is a square and the top is a square.
Work out the volume of the frustum.Volume of Frustums▶ Show worked answerHide worked answer
- M1: height of the complete pyramid = 4 × 12 ÷ (12 - 6) = 8
- M1: 1/3 × 12² × 8 and 1/3 × 6² × 4
- M1: 384 - 48
- A1: 336
Answer: 336[4 marks]
Mixed Topic Worksheet Grades 6/7: Day 079
- 1
Question 1. A straight line has gradient -3.
[3 marks]
It passes through the point (2, 4) and the point (5, k).
Work out the value of k.Equations of a Straight Line with a Point & a Gradient▶ Show worked answerHide worked answer
- M1: 4 = -3 × 2 + c so c = 10
- M1: -3 × 5 + 10
- A1: k = -5
Answer: -5 - 2
Question 2. The table gives information about the test scores of two classes.
[2 marks]
Class A: median 52, interquartile range 18
Class B: median 47, interquartile range 11
Compare the distributions of the scores of the two classes.Comparing Data Using Box Plots▶ Show worked answerHide worked answer
- C1: class A has the higher median (52 against 47), so class A did better on average
- C1: class B has the smaller interquartile range (11 against 18), so class B's scores are more consistent
Answer: Class A scored higher on average (median 52 against 47); class B's scores were more consistent (interquartile range 11 against 18) - 3
Question 3. Simplify fully dfracx² + x - 12x - 3
[2 marks]Simplifying Algebraic Fractions▶ Show worked answerHide worked answer
- M1: numerator (x + 4)(x - 3)
- A1: x + 4
Answer: x + 4 - 4
Question 4. 0.dot6dot3 = dfracn11
[3 marks]
Work out the value of n.
You must show all your working.Writing Recurring Decimals as Fractions▶ Show worked answerHide worked answer
- M1: multiplies by 100 and subtracts x, so the recurring parts cancel
- M1: 99x = 63, so x = dfrac6399 = dfrac711
- A1: n = 7
Answer: 7 - 5
Question 5. Here is a frustum of a square-based pyramid. The base is a square and the top is a square.
[4 marks]
Work out the volume of the frustum.Volume of Frustums▶ Show worked answerHide worked answer
- M1: height of the complete pyramid = 4 × 12 ÷ (12 - 6) = 8
- M1: 1/3 × 12² × 8 and 1/3 × 6² × 4
- M1: 384 - 48
- A1: 336
Answer: 336
Mixed Topic Worksheet Grades 6/7: Day 079
- 1
Question 1. A straight line has gradient -3.
It passes through the point (2, 4) and the point (5, k).
Work out the value of k.Equations of a Straight Line with a Point & a Gradient▶ Show worked answerHide worked answer
- M1: 4 = -3 × 2 + c so c = 10
- M1: -3 × 5 + 10
- A1: k = -5
Answer: -5[3 marks] - 2
Question 2. The table gives information about the test scores of two classes.
Class A: median 52, interquartile range 18
Class B: median 47, interquartile range 11
Compare the distributions of the scores of the two classes.Comparing Data Using Box Plots▶ Show worked answerHide worked answer
- C1: class A has the higher median (52 against 47), so class A did better on average
- C1: class B has the smaller interquartile range (11 against 18), so class B's scores are more consistent
Answer: Class A scored higher on average (median 52 against 47); class B's scores were more consistent (interquartile range 11 against 18)[2 marks] - 3
Question 3. Simplify fully dfracx² + x - 12x - 3
Simplifying Algebraic Fractions▶ Show worked answerHide worked answer
- M1: numerator (x + 4)(x - 3)
- A1: x + 4
Answer: x + 4[2 marks] - 4
Question 4. 0.dot6dot3 = dfracn11
Work out the value of n.
You must show all your working.Writing Recurring Decimals as Fractions▶ Show worked answerHide worked answer
- M1: multiplies by 100 and subtracts x, so the recurring parts cancel
- M1: 99x = 63, so x = dfrac6399 = dfrac711
- A1: n = 7
Answer: 7[3 marks] - 5
Question 5. Here is a frustum of a square-based pyramid. The base is a square and the top is a square.
Work out the volume of the frustum.Volume of Frustums▶ Show worked answerHide worked answer
- M1: height of the complete pyramid = 4 × 12 ÷ (12 - 6) = 8
- M1: 1/3 × 12² × 8 and 1/3 × 6² × 4
- M1: 384 - 48
- A1: 336
Answer: 336[4 marks]