Mixed Topic Worksheet Grades 6/7: Day 007
- 1
Question 1. Shape A is drawn on the grid.
Enlarge shape A by scale factor dfrac12, centre of enlargement (0, 0).
Label the image B.Enlargements with Positive Fractional Scale Factors▶ Show worked answerHide worked answer
- B2: a rectangle with vertices (1, 1), (4, 1), (4, 3) and (1, 3) (one mark for the correct shape with the wrong size or position, or for two correct vertices)
Answer: Rectangle with vertices (1, 1), (4, 1), (4, 3), (1, 3)[2 marks] - 2
Question 2. The table shows the cumulative frequencies for the distances, in km, of 60 journeys.
Complete the frequency column of the table.Filling in Cumulative Frequency Tables▶ Show worked answerHide worked answer
- M1: subtracts neighbouring cumulative frequencies, for example 17 − 6
- A1: 11 and 18 correct
- A1: 17 and 8 correct
Answer: 6, 11, 18, 17, 8[3 marks] - 3
Question 3. f(x) = x² - 4x
Show that f(x + 2) = x² - 4Fundamentals of Functions▶ Show worked answerHide worked answer
- M1: (x + 2)² - 4(x + 2)
- M1: x² + 4x + 4 - 4x - 8
- A1: collects the terms to x² - 4
Answer: shown[3 marks] - 4
Question 4. a is a positive integer. (a + √3)(a - √3) = 6. Work out the value of a.
Expanding Brackets with Surds▶ Show worked answerHide worked answer
- M1: a² - 3 = 6
- A1: 3
Answer: 3[2 marks] - 5
Question 5. A triangle has sides of 12 cm and x cm with an angle of 150° between them. Its area is 48 cm². Work out the value of x.
Calculating Side Lengths Using ½ab sin C▶ Show worked answerHide worked answer
- M1: 1/2 × 12 × x × sin 150° = 48
- M1: sin 150° = 1/2, so 3x = 48
- A1: x = 16
Answer: x = 16[3 marks]
Mixed Topic Worksheet Grades 6/7: Day 007
- 1
Question 1. Shape A is drawn on the grid.
[2 marks]
Enlarge shape A by scale factor dfrac12, centre of enlargement (0, 0).
Label the image B.Enlargements with Positive Fractional Scale Factors▶ Show worked answerHide worked answer
- B2: a rectangle with vertices (1, 1), (4, 1), (4, 3) and (1, 3) (one mark for the correct shape with the wrong size or position, or for two correct vertices)
Answer: Rectangle with vertices (1, 1), (4, 1), (4, 3), (1, 3) - 2
Question 2. The table shows the cumulative frequencies for the distances, in km, of 60 journeys.
[3 marks]
Complete the frequency column of the table.Filling in Cumulative Frequency Tables▶ Show worked answerHide worked answer
- M1: subtracts neighbouring cumulative frequencies, for example 17 − 6
- A1: 11 and 18 correct
- A1: 17 and 8 correct
Answer: 6, 11, 18, 17, 8 - 3
Question 3. f(x) = x² - 4x
[3 marks]
Show that f(x + 2) = x² - 4Fundamentals of Functions▶ Show worked answerHide worked answer
- M1: (x + 2)² - 4(x + 2)
- M1: x² + 4x + 4 - 4x - 8
- A1: collects the terms to x² - 4
Answer: shown - 4
Question 4. a is a positive integer. (a + √3)(a - √3) = 6. Work out the value of a.
[2 marks]Expanding Brackets with Surds▶ Show worked answerHide worked answer
- M1: a² - 3 = 6
- A1: 3
Answer: 3 - 5
Question 5. A triangle has sides of 12 cm and x cm with an angle of 150° between them. Its area is 48 cm². Work out the value of x.
[3 marks]Calculating Side Lengths Using ½ab sin C▶ Show worked answerHide worked answer
- M1: 1/2 × 12 × x × sin 150° = 48
- M1: sin 150° = 1/2, so 3x = 48
- A1: x = 16
Answer: x = 16
Mixed Topic Worksheet Grades 6/7: Day 007
- 1
Question 1. Shape A is drawn on the grid.
Enlarge shape A by scale factor dfrac12, centre of enlargement (0, 0).
Label the image B.Enlargements with Positive Fractional Scale Factors▶ Show worked answerHide worked answer
- B2: a rectangle with vertices (1, 1), (4, 1), (4, 3) and (1, 3) (one mark for the correct shape with the wrong size or position, or for two correct vertices)
Answer: Rectangle with vertices (1, 1), (4, 1), (4, 3), (1, 3)[2 marks] - 2
Question 2. The table shows the cumulative frequencies for the distances, in km, of 60 journeys.
Complete the frequency column of the table.Filling in Cumulative Frequency Tables▶ Show worked answerHide worked answer
- M1: subtracts neighbouring cumulative frequencies, for example 17 − 6
- A1: 11 and 18 correct
- A1: 17 and 8 correct
Answer: 6, 11, 18, 17, 8[3 marks] - 3
Question 3. f(x) = x² - 4x
Show that f(x + 2) = x² - 4Fundamentals of Functions▶ Show worked answerHide worked answer
- M1: (x + 2)² - 4(x + 2)
- M1: x² + 4x + 4 - 4x - 8
- A1: collects the terms to x² - 4
Answer: shown[3 marks] - 4
Question 4. a is a positive integer. (a + √3)(a - √3) = 6. Work out the value of a.
Expanding Brackets with Surds▶ Show worked answerHide worked answer
- M1: a² - 3 = 6
- A1: 3
Answer: 3[2 marks] - 5
Question 5. A triangle has sides of 12 cm and x cm with an angle of 150° between them. Its area is 48 cm². Work out the value of x.
Calculating Side Lengths Using ½ab sin C▶ Show worked answerHide worked answer
- M1: 1/2 × 12 × x × sin 150° = 48
- M1: sin 150° = 1/2, so 3x = 48
- A1: x = 16
Answer: x = 16[3 marks]