Mixed Topic Worksheet Grades 6/7: Day 040
- 1
Question 1. On Thursday, a bakery sold 32 loaves.
This is 80% **fewer** than on **Tuesday**.
Work out how many loaves the bakery sold on **Tuesday**.Reverse Percentages▶ Show worked answerHide worked answer
- M1: Multiplier 1 - 80/100 = 0.2
- M1: 32 ÷ 0.2
- A1: 160
Answer: 160[3 marks] - 2
Question 2. The number of voles in a field is estimated to be 600.
The estimate was found by marking 90 voles in a first catch.
In a second catch, 12 of the voles were marked.
Work out the total number of voles in the second catch.Capture-Recapture▶ Show worked answerHide worked answer
- M1: dfrac12n = dfrac90600 or 600 × 12 ÷ 90
- A1: 80
Answer: 80[2 marks] - 3
Question 3. Triangle A has two sides of length 10 cm and 8 cm. The angle between these two sides is 20^°. Triangle B has two sides of length 10 cm and 8 cm. The angle between these two sides is 40^°. Zoe says that the area of triangle B is double the area of triangle A. Is Zoe correct? You must show your working.
Area of Triangles Using ½ab sin C▶ Show worked answerHide worked answer
- M1: 1/2 × 10 × 8 × sin 20^° and 1/2 × 10 × 8 × sin 40^°
- M1: 2 × 13.7 = 27.4 compared with 25.7
- C1: No, because 25.7 is not 27.4
Answer: No: the areas are 13.7 cm² and 25.7 cm², and 25.7 is not double 13.7[3 marks] - 4
Question 4. The graph shows y = x² for 0 ≤ x ≤ 5.
The points A (1, 1) and B (4, 16) lie on the curve.
Work out the average gradient of the curve between A and B.Average Gradients of Lines▶ Show worked answerHide worked answer
- M1: (16 − 1) ÷ (4 − 1)
- A1: 5
Answer: 5[2 marks] - 5
Question 5. Here is triangle ABC.
Work out the size of angle ABC.
Give your answer to 1 decimal place.Finding Angles Using the Sine Rule▶ Show worked answerHide worked answer
- M1: dfracsin ABC10.8 = dfracsin 52^°12.2
- M1: sin ABC = dfrac10.8 × sin 52^°12.2
- A1: 44.2
Answer: 44.2[3 marks]
Mixed Topic Worksheet Grades 6/7: Day 040
- 1
Question 1. On Thursday, a bakery sold 32 loaves.
[3 marks]
This is 80% **fewer** than on **Tuesday**.
Work out how many loaves the bakery sold on **Tuesday**.Reverse Percentages▶ Show worked answerHide worked answer
- M1: Multiplier 1 - 80/100 = 0.2
- M1: 32 ÷ 0.2
- A1: 160
Answer: 160 - 2
Question 2. The number of voles in a field is estimated to be 600.
[2 marks]
The estimate was found by marking 90 voles in a first catch.
In a second catch, 12 of the voles were marked.
Work out the total number of voles in the second catch.Capture-Recapture▶ Show worked answerHide worked answer
- M1: dfrac12n = dfrac90600 or 600 × 12 ÷ 90
- A1: 80
Answer: 80 - 3
Question 3. Triangle A has two sides of length 10 cm and 8 cm. The angle between these two sides is 20^°. Triangle B has two sides of length 10 cm and 8 cm. The angle between these two sides is 40^°. Zoe says that the area of triangle B is double the area of triangle A. Is Zoe correct? You must show your working.
[3 marks]Area of Triangles Using ½ab sin C▶ Show worked answerHide worked answer
- M1: 1/2 × 10 × 8 × sin 20^° and 1/2 × 10 × 8 × sin 40^°
- M1: 2 × 13.7 = 27.4 compared with 25.7
- C1: No, because 25.7 is not 27.4
Answer: No: the areas are 13.7 cm² and 25.7 cm², and 25.7 is not double 13.7 - 4
Question 4. The graph shows y = x² for 0 ≤ x ≤ 5.
[2 marks]
The points A (1, 1) and B (4, 16) lie on the curve.
Work out the average gradient of the curve between A and B.Average Gradients of Lines▶ Show worked answerHide worked answer
- M1: (16 − 1) ÷ (4 − 1)
- A1: 5
Answer: 5 - 5
Question 5. Here is triangle ABC.
[3 marks]
Work out the size of angle ABC.
Give your answer to 1 decimal place.Finding Angles Using the Sine Rule▶ Show worked answerHide worked answer
- M1: dfracsin ABC10.8 = dfracsin 52^°12.2
- M1: sin ABC = dfrac10.8 × sin 52^°12.2
- A1: 44.2
Answer: 44.2
Mixed Topic Worksheet Grades 6/7: Day 040
- 1
Question 1. On Thursday, a bakery sold 32 loaves.
This is 80% **fewer** than on **Tuesday**.
Work out how many loaves the bakery sold on **Tuesday**.Reverse Percentages▶ Show worked answerHide worked answer
- M1: Multiplier 1 - 80/100 = 0.2
- M1: 32 ÷ 0.2
- A1: 160
Answer: 160[3 marks] - 2
Question 2. The number of voles in a field is estimated to be 600.
The estimate was found by marking 90 voles in a first catch.
In a second catch, 12 of the voles were marked.
Work out the total number of voles in the second catch.Capture-Recapture▶ Show worked answerHide worked answer
- M1: dfrac12n = dfrac90600 or 600 × 12 ÷ 90
- A1: 80
Answer: 80[2 marks] - 3
Question 3. Triangle A has two sides of length 10 cm and 8 cm. The angle between these two sides is 20^°. Triangle B has two sides of length 10 cm and 8 cm. The angle between these two sides is 40^°. Zoe says that the area of triangle B is double the area of triangle A. Is Zoe correct? You must show your working.
Area of Triangles Using ½ab sin C▶ Show worked answerHide worked answer
- M1: 1/2 × 10 × 8 × sin 20^° and 1/2 × 10 × 8 × sin 40^°
- M1: 2 × 13.7 = 27.4 compared with 25.7
- C1: No, because 25.7 is not 27.4
Answer: No: the areas are 13.7 cm² and 25.7 cm², and 25.7 is not double 13.7[3 marks] - 4
Question 4. The graph shows y = x² for 0 ≤ x ≤ 5.
The points A (1, 1) and B (4, 16) lie on the curve.
Work out the average gradient of the curve between A and B.Average Gradients of Lines▶ Show worked answerHide worked answer
- M1: (16 − 1) ÷ (4 − 1)
- A1: 5
Answer: 5[2 marks] - 5
Question 5. Here is triangle ABC.
Work out the size of angle ABC.
Give your answer to 1 decimal place.Finding Angles Using the Sine Rule▶ Show worked answerHide worked answer
- M1: dfracsin ABC10.8 = dfracsin 52^°12.2
- M1: sin ABC = dfrac10.8 × sin 52^°12.2
- A1: 44.2
Answer: 44.2[3 marks]