Mixed Topic Worksheet Grades 6/7: Day 084
- 1
Question 1. Rectangle A is 8 cm by 5 cm.
Rectangle B is 12 cm by 9 cm.
Is rectangle B an enlargement of rectangle A?
Give a reason for your answer.Calculating Scale Factor▶ Show worked answerHide worked answer
- M1: 12 ÷ 8 = 1.5
- M1: 9 ÷ 5 = 1.8
- A1: no, the two scale factors differ
Answer: No: 12 ÷ 8 = 1.5 but 9 ÷ 5 = 1.8, so the scale factors are not equal[3 marks] - 2
Question 2. Simplify fully dfracx²-9x+3
Simplifying Algebraic Fractions▶ Show worked answerHide worked answer
- M1: (x+3)(x-3)
- A1: x-3
Answer: x-3[2 marks] - 3
Question 3. Here are four numbers. √36 π dfrac94 √15 Write down the two irrational numbers.
Rational & Irrational Numbers▶ Show worked answerHide worked answer
- B1: one correct number, π or √15
- B1: both correct and no others
Answer: π and √15[2 marks] - 4
Question 4. Here is triangle ABC.
Work out the length of AC.
Give your answer to 1 decimal place.Finding Side Lengths Using the Sine Rule▶ Show worked answerHide worked answer
- M1: dfracACsin 70^° = dfrac7.5sin 48^°
- M1: AC = dfrac7.5 × sin 70^°sin 48^°
- A1: 9.5
Answer: 9.5[3 marks] - 5
Question 5. The curve y = 3x passes through the points (0, a) and (-2, b).
Work out the value of a and the value of b.Sketching Exponential Graphs▶ Show worked answerHide worked answer
- B1: a = 3⁰ = 1
- M1: b = 3⁻²
- A1: b = dfrac19
Answer: a = 1, b = dfrac19[3 marks]
Mixed Topic Worksheet Grades 6/7: Day 084
- 1
Question 1. Rectangle A is 8 cm by 5 cm.
[3 marks]
Rectangle B is 12 cm by 9 cm.
Is rectangle B an enlargement of rectangle A?
Give a reason for your answer.Calculating Scale Factor▶ Show worked answerHide worked answer
- M1: 12 ÷ 8 = 1.5
- M1: 9 ÷ 5 = 1.8
- A1: no, the two scale factors differ
Answer: No: 12 ÷ 8 = 1.5 but 9 ÷ 5 = 1.8, so the scale factors are not equal - 2
Question 2. Simplify fully dfracx²-9x+3
[2 marks]Simplifying Algebraic Fractions▶ Show worked answerHide worked answer
- M1: (x+3)(x-3)
- A1: x-3
Answer: x-3 - 3
Question 3. Here are four numbers. √36 π dfrac94 √15 Write down the two irrational numbers.
[2 marks]Rational & Irrational Numbers▶ Show worked answerHide worked answer
- B1: one correct number, π or √15
- B1: both correct and no others
Answer: π and √15 - 4
Question 4. Here is triangle ABC.
[3 marks]
Work out the length of AC.
Give your answer to 1 decimal place.Finding Side Lengths Using the Sine Rule▶ Show worked answerHide worked answer
- M1: dfracACsin 70^° = dfrac7.5sin 48^°
- M1: AC = dfrac7.5 × sin 70^°sin 48^°
- A1: 9.5
Answer: 9.5 - 5
Question 5. The curve y = 3x passes through the points (0, a) and (-2, b).
[3 marks]
Work out the value of a and the value of b.Sketching Exponential Graphs▶ Show worked answerHide worked answer
- B1: a = 3⁰ = 1
- M1: b = 3⁻²
- A1: b = dfrac19
Answer: a = 1, b = dfrac19
Mixed Topic Worksheet Grades 6/7: Day 084
- 1
Question 1. Rectangle A is 8 cm by 5 cm.
Rectangle B is 12 cm by 9 cm.
Is rectangle B an enlargement of rectangle A?
Give a reason for your answer.Calculating Scale Factor▶ Show worked answerHide worked answer
- M1: 12 ÷ 8 = 1.5
- M1: 9 ÷ 5 = 1.8
- A1: no, the two scale factors differ
Answer: No: 12 ÷ 8 = 1.5 but 9 ÷ 5 = 1.8, so the scale factors are not equal[3 marks] - 2
Question 2. Simplify fully dfracx²-9x+3
Simplifying Algebraic Fractions▶ Show worked answerHide worked answer
- M1: (x+3)(x-3)
- A1: x-3
Answer: x-3[2 marks] - 3
Question 3. Here are four numbers. √36 π dfrac94 √15 Write down the two irrational numbers.
Rational & Irrational Numbers▶ Show worked answerHide worked answer
- B1: one correct number, π or √15
- B1: both correct and no others
Answer: π and √15[2 marks] - 4
Question 4. Here is triangle ABC.
Work out the length of AC.
Give your answer to 1 decimal place.Finding Side Lengths Using the Sine Rule▶ Show worked answerHide worked answer
- M1: dfracACsin 70^° = dfrac7.5sin 48^°
- M1: AC = dfrac7.5 × sin 70^°sin 48^°
- A1: 9.5
Answer: 9.5[3 marks] - 5
Question 5. The curve y = 3x passes through the points (0, a) and (-2, b).
Work out the value of a and the value of b.Sketching Exponential Graphs▶ Show worked answerHide worked answer
- B1: a = 3⁰ = 1
- M1: b = 3⁻²
- A1: b = dfrac19
Answer: a = 1, b = dfrac19[3 marks]