Mixed Topic Worksheet Grades 6/7: Day 063
- 1
Question 1. The graph shows the length, L cm, of a spring when a mass of m kg hangs from it.
Work out a formula for L in terms of m.Finding Equations of Linear Real-Life Graphs▶ Show worked answerHide worked answer
- M1: gradient dfrac21 - 126 - 0
- A1: 1.5
- B1: L = 1.5m + 12
Answer: L = 1.5m + 12[3 marks] - 2
Question 2. Make r the subject of A = π r²
r is positive.Rearranging Harder Equations▶ Show worked answerHide worked answer
- M1: r² = dfracAπ
- A1: r = sqrtdfracAπ
Answer: r = sqrtdfracAπ[2 marks] - 3
Question 3. Zainab ringed 80 ducks on a river and returned them to the river.
Later she counts 50 ducks on the river. 5 of these 50 ducks have a ring.
Work out an estimate for the number of ducks on the river.Capture-Recapture▶ Show worked answerHide worked answer
- M1: 80 ÷ N = 5 ÷ 50
- M1: 80 × 50 ÷ 5
- A1: 800
Answer: 800[3 marks] - 4
Question 4. The number line shows the sets A and B.
The lower line shows A and the upper line shows B.
Write A cap B in set notation using inequalities.Sets & Inequalities▶ Show worked answerHide worked answer
- M1: the lines overlap from 5, not including 5, up to 8, not including 8
- A1: x : 5 < x < 8
Answer: x : 5 < x < 8[2 marks] - 5
Question 5. Rhys has walked dfrac712 of a hiking trail.
Write dfrac712 as a recurring decimal.
You must show all your working.Writing Fractions as Recurring Decimals▶ Show worked answerHide worked answer
- M1: 7 ÷ 12 = 0.58333...
- M1: only the 3 repeats
- A1: 0.58dot3
Answer: 0.58dot3[3 marks]
Mixed Topic Worksheet Grades 6/7: Day 063
- 1
Question 1. The graph shows the length, L cm, of a spring when a mass of m kg hangs from it.
[3 marks]
Work out a formula for L in terms of m.Finding Equations of Linear Real-Life Graphs▶ Show worked answerHide worked answer
- M1: gradient dfrac21 - 126 - 0
- A1: 1.5
- B1: L = 1.5m + 12
Answer: L = 1.5m + 12 - 2
Question 2. Make r the subject of A = π r²
[2 marks]
r is positive.Rearranging Harder Equations▶ Show worked answerHide worked answer
- M1: r² = dfracAπ
- A1: r = sqrtdfracAπ
Answer: r = sqrtdfracAπ - 3
Question 3. Zainab ringed 80 ducks on a river and returned them to the river.
[3 marks]
Later she counts 50 ducks on the river. 5 of these 50 ducks have a ring.
Work out an estimate for the number of ducks on the river.Capture-Recapture▶ Show worked answerHide worked answer
- M1: 80 ÷ N = 5 ÷ 50
- M1: 80 × 50 ÷ 5
- A1: 800
Answer: 800 - 4
Question 4. The number line shows the sets A and B.
[2 marks]
The lower line shows A and the upper line shows B.
Write A cap B in set notation using inequalities.Sets & Inequalities▶ Show worked answerHide worked answer
- M1: the lines overlap from 5, not including 5, up to 8, not including 8
- A1: x : 5 < x < 8
Answer: x : 5 < x < 8 - 5
Question 5. Rhys has walked dfrac712 of a hiking trail.
[3 marks]
Write dfrac712 as a recurring decimal.
You must show all your working.Writing Fractions as Recurring Decimals▶ Show worked answerHide worked answer
- M1: 7 ÷ 12 = 0.58333...
- M1: only the 3 repeats
- A1: 0.58dot3
Answer: 0.58dot3
Mixed Topic Worksheet Grades 6/7: Day 063
- 1
Question 1. The graph shows the length, L cm, of a spring when a mass of m kg hangs from it.
Work out a formula for L in terms of m.Finding Equations of Linear Real-Life Graphs▶ Show worked answerHide worked answer
- M1: gradient dfrac21 - 126 - 0
- A1: 1.5
- B1: L = 1.5m + 12
Answer: L = 1.5m + 12[3 marks] - 2
Question 2. Make r the subject of A = π r²
r is positive.Rearranging Harder Equations▶ Show worked answerHide worked answer
- M1: r² = dfracAπ
- A1: r = sqrtdfracAπ
Answer: r = sqrtdfracAπ[2 marks] - 3
Question 3. Zainab ringed 80 ducks on a river and returned them to the river.
Later she counts 50 ducks on the river. 5 of these 50 ducks have a ring.
Work out an estimate for the number of ducks on the river.Capture-Recapture▶ Show worked answerHide worked answer
- M1: 80 ÷ N = 5 ÷ 50
- M1: 80 × 50 ÷ 5
- A1: 800
Answer: 800[3 marks] - 4
Question 4. The number line shows the sets A and B.
The lower line shows A and the upper line shows B.
Write A cap B in set notation using inequalities.Sets & Inequalities▶ Show worked answerHide worked answer
- M1: the lines overlap from 5, not including 5, up to 8, not including 8
- A1: x : 5 < x < 8
Answer: x : 5 < x < 8[2 marks] - 5
Question 5. Rhys has walked dfrac712 of a hiking trail.
Write dfrac712 as a recurring decimal.
You must show all your working.Writing Fractions as Recurring Decimals▶ Show worked answerHide worked answer
- M1: 7 ÷ 12 = 0.58333...
- M1: only the 3 repeats
- A1: 0.58dot3
Answer: 0.58dot3[3 marks]