Mixed Topic Worksheet Grades 6/7: Day 068
- 1
Question 1. Eva buys a chair for £150.
She sells the chair for £120.
Work out her percentage loss.Profit & Loss▶ Show worked answerHide worked answer
- M1: 150 - 120 = 30
- M1: 30 ÷ 150 × 100
- A1: 20%
Answer: 20%[3 marks] - 2
Question 2. Kai enlarges the point (3, 2) by scale factor -2 with centre (1, 1).
He writes that the image is (-6, -4).
Is Kai correct? You must show your working.Enlargements with Negative Integer Scale Factors▶ Show worked answerHide worked answer
- M1: the point is 3 - 1 = 2 right and 2 - 1 = 1 up from the centre, so its image is 4 left and 2 down from the centre
- A1: (-3, -1), so Kai is not correct
Answer: No. The image is (-3, -1).[2 marks] - 3
Question 3. Simplify fully dfracx²+9x+14x²+7x
Simplifying Algebraic Fractions▶ Show worked answerHide worked answer
- M1: (x+2)(x+7)
- M1: x(x+7)
- A1: dfracx+2x
Answer: dfracx+2x[3 marks] - 4
Question 4. A = x : 3x - k > 10
A is the same set as x : x > 4
Work out the value of kSets & Inequalities▶ Show worked answerHide worked answer
- M1: 3x > 10 + k so dfrac10 + k3 = 4
- A1: k = 12 - 10 = 2
Answer: 2[2 marks] - 5
Question 5. Here is triangle ABC.
Work out the size of angle x.
Give your answer to 1 decimal place.Fundamentals of the Sine Rule▶ Show worked answerHide worked answer
- M1: dfracsin x9 = dfracsin 62^°14
- M1: sin x = dfrac9 × sin 62^°14
- A1: 34.6
Answer: 34.6[3 marks]
Mixed Topic Worksheet Grades 6/7: Day 068
- 1
Question 1. Eva buys a chair for £150.
[3 marks]
She sells the chair for £120.
Work out her percentage loss.Profit & Loss▶ Show worked answerHide worked answer
- M1: 150 - 120 = 30
- M1: 30 ÷ 150 × 100
- A1: 20%
Answer: 20% - 2
Question 2. Kai enlarges the point (3, 2) by scale factor -2 with centre (1, 1).
[2 marks]
He writes that the image is (-6, -4).
Is Kai correct? You must show your working.Enlargements with Negative Integer Scale Factors▶ Show worked answerHide worked answer
- M1: the point is 3 - 1 = 2 right and 2 - 1 = 1 up from the centre, so its image is 4 left and 2 down from the centre
- A1: (-3, -1), so Kai is not correct
Answer: No. The image is (-3, -1). - 3
Question 3. Simplify fully dfracx²+9x+14x²+7x
[3 marks]Simplifying Algebraic Fractions▶ Show worked answerHide worked answer
- M1: (x+2)(x+7)
- M1: x(x+7)
- A1: dfracx+2x
Answer: dfracx+2x - 4
Question 4. A = x : 3x - k > 10
[2 marks]
A is the same set as x : x > 4
Work out the value of kSets & Inequalities▶ Show worked answerHide worked answer
- M1: 3x > 10 + k so dfrac10 + k3 = 4
- A1: k = 12 - 10 = 2
Answer: 2 - 5
Question 5. Here is triangle ABC.
[3 marks]
Work out the size of angle x.
Give your answer to 1 decimal place.Fundamentals of the Sine Rule▶ Show worked answerHide worked answer
- M1: dfracsin x9 = dfracsin 62^°14
- M1: sin x = dfrac9 × sin 62^°14
- A1: 34.6
Answer: 34.6
Mixed Topic Worksheet Grades 6/7: Day 068
- 1
Question 1. Eva buys a chair for £150.
She sells the chair for £120.
Work out her percentage loss.Profit & Loss▶ Show worked answerHide worked answer
- M1: 150 - 120 = 30
- M1: 30 ÷ 150 × 100
- A1: 20%
Answer: 20%[3 marks] - 2
Question 2. Kai enlarges the point (3, 2) by scale factor -2 with centre (1, 1).
He writes that the image is (-6, -4).
Is Kai correct? You must show your working.Enlargements with Negative Integer Scale Factors▶ Show worked answerHide worked answer
- M1: the point is 3 - 1 = 2 right and 2 - 1 = 1 up from the centre, so its image is 4 left and 2 down from the centre
- A1: (-3, -1), so Kai is not correct
Answer: No. The image is (-3, -1).[2 marks] - 3
Question 3. Simplify fully dfracx²+9x+14x²+7x
Simplifying Algebraic Fractions▶ Show worked answerHide worked answer
- M1: (x+2)(x+7)
- M1: x(x+7)
- A1: dfracx+2x
Answer: dfracx+2x[3 marks] - 4
Question 4. A = x : 3x - k > 10
A is the same set as x : x > 4
Work out the value of kSets & Inequalities▶ Show worked answerHide worked answer
- M1: 3x > 10 + k so dfrac10 + k3 = 4
- A1: k = 12 - 10 = 2
Answer: 2[2 marks] - 5
Question 5. Here is triangle ABC.
Work out the size of angle x.
Give your answer to 1 decimal place.Fundamentals of the Sine Rule▶ Show worked answerHide worked answer
- M1: dfracsin x9 = dfracsin 62^°14
- M1: sin x = dfrac9 × sin 62^°14
- A1: 34.6
Answer: 34.6[3 marks]