Mixed Topic Worksheet Grades 6/7: Day 058
- 1
Question 1. a : b = 4 : 5
b : c = 10 : 3
Tess says that a : c = 4 : 3
Is Tess correct?
You must show your working.Combining Ratios▶ Show worked answerHide worked answer
- M1: 4 : 5 = 8 : 10
- M1: a : b : c = 8 : 10 : 3
- A1: No, with a : c = 8 : 3
Answer: No. a : b = 8 : 10, so a : b : c = 8 : 10 : 3 and a : c = 8 : 3[3 marks] - 2
Question 2. Make x the subject of y = √x + 4
y is positive.Rearranging Harder Equations▶ Show worked answerHide worked answer
- M1: y² = x + 4
- A1: x = y² - 4
Answer: x = y² - 4[2 marks] - 3
Question 3. The point B(6, 1) is enlarged by scale factor -3, centre (2, -1).
Work out the coordinates of the image of B.Enlargements with Negative Integer Scale Factors▶ Show worked answerHide worked answer
- M1: from the centre to B is 4 right and 2 up
- M1: times -3: 12 left and 6 down from the centre
- A1: (-10, -7)
Answer: (-10, -7)[3 marks] - 4
Question 4. The graph of y = (x - 3)² + 5 has a turning point.
Write down the coordinates of the turning point.Turning Points of Quadratics▶ Show worked answerHide worked answer
- B1: x-coordinate 3
- B1: y-coordinate 5
Answer: (3, 5)[2 marks] - 5
Question 5. Triangle XYZ is isosceles.
XY = XZ = 12 cm
Angle XYZ = 28^°
Work out the area of triangle XYZ.
Give your answer to 1 decimal place.Using the Area Rule with Isosceles Triangles▶ Show worked answerHide worked answer
- M1: angle YXZ = 180^° - 2 × 28^°
- M1: 1/2 × 12 × 12 × sin 124^°
- A1: 59.7
Answer: 59.7 cm²[3 marks]
Mixed Topic Worksheet Grades 6/7: Day 058
- 1
Question 1. a : b = 4 : 5
[3 marks]
b : c = 10 : 3
Tess says that a : c = 4 : 3
Is Tess correct?
You must show your working.Combining Ratios▶ Show worked answerHide worked answer
- M1: 4 : 5 = 8 : 10
- M1: a : b : c = 8 : 10 : 3
- A1: No, with a : c = 8 : 3
Answer: No. a : b = 8 : 10, so a : b : c = 8 : 10 : 3 and a : c = 8 : 3 - 2
Question 2. Make x the subject of y = √x + 4
[2 marks]
y is positive.Rearranging Harder Equations▶ Show worked answerHide worked answer
- M1: y² = x + 4
- A1: x = y² - 4
Answer: x = y² - 4 - 3
Question 3. The point B(6, 1) is enlarged by scale factor -3, centre (2, -1).
[3 marks]
Work out the coordinates of the image of B.Enlargements with Negative Integer Scale Factors▶ Show worked answerHide worked answer
- M1: from the centre to B is 4 right and 2 up
- M1: times -3: 12 left and 6 down from the centre
- A1: (-10, -7)
Answer: (-10, -7) - 4
Question 4. The graph of y = (x - 3)² + 5 has a turning point.
[2 marks]
Write down the coordinates of the turning point.Turning Points of Quadratics▶ Show worked answerHide worked answer
- B1: x-coordinate 3
- B1: y-coordinate 5
Answer: (3, 5) - 5
Question 5. Triangle XYZ is isosceles.
[3 marks]
XY = XZ = 12 cm
Angle XYZ = 28^°
Work out the area of triangle XYZ.
Give your answer to 1 decimal place.Using the Area Rule with Isosceles Triangles▶ Show worked answerHide worked answer
- M1: angle YXZ = 180^° - 2 × 28^°
- M1: 1/2 × 12 × 12 × sin 124^°
- A1: 59.7
Answer: 59.7 cm²
Mixed Topic Worksheet Grades 6/7: Day 058
- 1
Question 1. a : b = 4 : 5
b : c = 10 : 3
Tess says that a : c = 4 : 3
Is Tess correct?
You must show your working.Combining Ratios▶ Show worked answerHide worked answer
- M1: 4 : 5 = 8 : 10
- M1: a : b : c = 8 : 10 : 3
- A1: No, with a : c = 8 : 3
Answer: No. a : b = 8 : 10, so a : b : c = 8 : 10 : 3 and a : c = 8 : 3[3 marks] - 2
Question 2. Make x the subject of y = √x + 4
y is positive.Rearranging Harder Equations▶ Show worked answerHide worked answer
- M1: y² = x + 4
- A1: x = y² - 4
Answer: x = y² - 4[2 marks] - 3
Question 3. The point B(6, 1) is enlarged by scale factor -3, centre (2, -1).
Work out the coordinates of the image of B.Enlargements with Negative Integer Scale Factors▶ Show worked answerHide worked answer
- M1: from the centre to B is 4 right and 2 up
- M1: times -3: 12 left and 6 down from the centre
- A1: (-10, -7)
Answer: (-10, -7)[3 marks] - 4
Question 4. The graph of y = (x - 3)² + 5 has a turning point.
Write down the coordinates of the turning point.Turning Points of Quadratics▶ Show worked answerHide worked answer
- B1: x-coordinate 3
- B1: y-coordinate 5
Answer: (3, 5)[2 marks] - 5
Question 5. Triangle XYZ is isosceles.
XY = XZ = 12 cm
Angle XYZ = 28^°
Work out the area of triangle XYZ.
Give your answer to 1 decimal place.Using the Area Rule with Isosceles Triangles▶ Show worked answerHide worked answer
- M1: angle YXZ = 180^° - 2 × 28^°
- M1: 1/2 × 12 × 12 × sin 124^°
- A1: 59.7
Answer: 59.7 cm²[3 marks]