Mixed Topic Worksheet Grades 6/7: Day 045
- 1
Question 1. The graph shows a car journey.
Work out the speed of the car during the first 2 hours.Calculating Average Speed Using Distance-Time Graphs▶ Show worked answerHide worked answer
- M1: 70 ÷ 2
- A1: 35
Answer: 35 km/h[2 marks] - 2
Question 2. Shape A is drawn on the grid.
Enlarge shape A by scale factor -1 with centre of enlargement (2, 3).
Label the image B.Enlargements with Negative Integer Scale Factors▶ Show worked answerHide worked answer
- B2: image B drawn with vertices (1, 2), (−1, 2), (−1, 1), (1, 0) (one mark for the correct image on the wrong side of the centre, or for two correct vertices)
Answer: Image B has vertices (1, 2), (−1, 2), (−1, 1), (1, 0)[2 marks] - 3
Question 3. Zoe wants a calculation that gives a rational answer. Calculation A is √20 × √5 Calculation B is √20 + √5 Which calculation gives a rational answer? You must show your working.
Rational & Irrational Numbers▶ Show worked answerHide worked answer
- M1: A: √100 = 10
- M1: B: 2√5 + √5 = 3√5
- A1: Calculation A, with 3√5 shown to be irrational
Answer: Calculation A[3 marks] - 4
Question 4. The equation 2x² + bx - 3 = 0 has b² - 4ac = 49
b is a positive whole number.
Work out the missing value of b.Solving Quadratics with the Quadratic Formula▶ Show worked answerHide worked answer
- M1: b² - 4(2)(-3) = 49
- M1: b² + 24 = 49, b² = 25
- A1: b = 5
Answer: b = 5[3 marks] - 5
Question 5. A rhombus has an acute angle of 30° and an area of 72 cm². Work out the length of one side of the rhombus.
Finding the Area of a Parallelogram▶ Show worked answerHide worked answer
- M1: s² sin 30° = 72
- M1: s² = 72 ÷ 1/2 = 144
- A1: s = 12 cm
Answer: 12 cm[3 marks]
Mixed Topic Worksheet Grades 6/7: Day 045
- 1
Question 1. The graph shows a car journey.
[2 marks]
Work out the speed of the car during the first 2 hours.Calculating Average Speed Using Distance-Time Graphs▶ Show worked answerHide worked answer
- M1: 70 ÷ 2
- A1: 35
Answer: 35 km/h - 2
Question 2. Shape A is drawn on the grid.
[2 marks]
Enlarge shape A by scale factor -1 with centre of enlargement (2, 3).
Label the image B.Enlargements with Negative Integer Scale Factors▶ Show worked answerHide worked answer
- B2: image B drawn with vertices (1, 2), (−1, 2), (−1, 1), (1, 0) (one mark for the correct image on the wrong side of the centre, or for two correct vertices)
Answer: Image B has vertices (1, 2), (−1, 2), (−1, 1), (1, 0) - 3
Question 3. Zoe wants a calculation that gives a rational answer. Calculation A is √20 × √5 Calculation B is √20 + √5 Which calculation gives a rational answer? You must show your working.
[3 marks]Rational & Irrational Numbers▶ Show worked answerHide worked answer
- M1: A: √100 = 10
- M1: B: 2√5 + √5 = 3√5
- A1: Calculation A, with 3√5 shown to be irrational
Answer: Calculation A - 4
Question 4. The equation 2x² + bx - 3 = 0 has b² - 4ac = 49
[3 marks]
b is a positive whole number.
Work out the missing value of b.Solving Quadratics with the Quadratic Formula▶ Show worked answerHide worked answer
- M1: b² - 4(2)(-3) = 49
- M1: b² + 24 = 49, b² = 25
- A1: b = 5
Answer: b = 5 - 5
Question 5. A rhombus has an acute angle of 30° and an area of 72 cm². Work out the length of one side of the rhombus.
[3 marks]Finding the Area of a Parallelogram▶ Show worked answerHide worked answer
- M1: s² sin 30° = 72
- M1: s² = 72 ÷ 1/2 = 144
- A1: s = 12 cm
Answer: 12 cm
Mixed Topic Worksheet Grades 6/7: Day 045
- 1
Question 1. The graph shows a car journey.
Work out the speed of the car during the first 2 hours.Calculating Average Speed Using Distance-Time Graphs▶ Show worked answerHide worked answer
- M1: 70 ÷ 2
- A1: 35
Answer: 35 km/h[2 marks] - 2
Question 2. Shape A is drawn on the grid.
Enlarge shape A by scale factor -1 with centre of enlargement (2, 3).
Label the image B.Enlargements with Negative Integer Scale Factors▶ Show worked answerHide worked answer
- B2: image B drawn with vertices (1, 2), (−1, 2), (−1, 1), (1, 0) (one mark for the correct image on the wrong side of the centre, or for two correct vertices)
Answer: Image B has vertices (1, 2), (−1, 2), (−1, 1), (1, 0)[2 marks] - 3
Question 3. Zoe wants a calculation that gives a rational answer. Calculation A is √20 × √5 Calculation B is √20 + √5 Which calculation gives a rational answer? You must show your working.
Rational & Irrational Numbers▶ Show worked answerHide worked answer
- M1: A: √100 = 10
- M1: B: 2√5 + √5 = 3√5
- A1: Calculation A, with 3√5 shown to be irrational
Answer: Calculation A[3 marks] - 4
Question 4. The equation 2x² + bx - 3 = 0 has b² - 4ac = 49
b is a positive whole number.
Work out the missing value of b.Solving Quadratics with the Quadratic Formula▶ Show worked answerHide worked answer
- M1: b² - 4(2)(-3) = 49
- M1: b² + 24 = 49, b² = 25
- A1: b = 5
Answer: b = 5[3 marks] - 5
Question 5. A rhombus has an acute angle of 30° and an area of 72 cm². Work out the length of one side of the rhombus.
Finding the Area of a Parallelogram▶ Show worked answerHide worked answer
- M1: s² sin 30° = 72
- M1: s² = 72 ÷ 1/2 = 144
- A1: s = 12 cm
Answer: 12 cm[3 marks]