📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 6/7: Day 010

Grades 6/7Calculator

  1. Question 1. a : b = 2 : 3
    b : c = 5 : 4
    Work out a : b : c
    Give your answer in its simplest form.

    Show worked answerHide worked answer
    1. M1: a : b = 10 : 15
    2. M1: b : c = 15 : 12
    3. A1: 10 : 15 : 12
    Answer: 10 : 15 : 12
    Combining Ratios
    [3 marks]

  2. Question 2. Uma says that x+3/3 = x+1 for all values of x.
    Show that Uma is wrong.

    Show worked answerHide worked answer
    1. M1: substitutes a value, e.g. x=3
    2. A1: 6/3=2 but 3+1=4
    Answer: When x=3: left side =2, right side =4 (not equal)
    Simplifying Algebraic Fractions
    [2 marks]

  3. Question 3. Write dfrac58 as a decimal.

    Show worked answerHide worked answer
    1. M1: 5 ÷ 8
    2. A1: 0.625
    Answer: 0.625
    Rational & Irrational Numbers
    [2 marks]

  4. Question 4. Solve 2x² + 7x + 2 = 0. Give your solutions correct to 2 decimal places. [3]

    Show worked answerHide worked answer
    1. M1: x = dfrac-7 ± √7² - 4(2)(2)2(2)
    2. A1: x = dfrac-7 ± √334
    3. A1: x = -0.31 and x = -3.19
    Answer: x = -0.31 or x = -3.19
    Solving Quadratics with the Quadratic Formula
    [3 marks]

  5. Question 5. A parallelogram has sides of 12 cm and 10 cm and an area of 96 cm². Work out the size of the acute angle of the parallelogram. Give your answer correct to 1 decimal place.

    Show worked answerHide worked answer
    1. M1: 12 × 10 × sinθ = 96
    2. M1: sinθ = 0.8
    3. A1: θ = 53.1°
    Answer: 53.1°
    Finding the Area of a Parallelogram
    [3 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 6/7: Day 010

Grades 6/7Calculator

  1. Question 1. a : b = 2 : 3
    b : c = 5 : 4
    Work out a : b : c
    Give your answer in its simplest form.

    [3 marks]
    Show worked answerHide worked answer
    1. M1: a : b = 10 : 15
    2. M1: b : c = 15 : 12
    3. A1: 10 : 15 : 12
    Answer: 10 : 15 : 12
    Combining Ratios

  2. Question 2. Uma says that x+3/3 = x+1 for all values of x.
    Show that Uma is wrong.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: substitutes a value, e.g. x=3
    2. A1: 6/3=2 but 3+1=4
    Answer: When x=3: left side =2, right side =4 (not equal)
    Simplifying Algebraic Fractions

  3. Question 3. Write dfrac58 as a decimal.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 5 ÷ 8
    2. A1: 0.625
    Answer: 0.625
    Rational & Irrational Numbers

  4. Question 4. Solve 2x² + 7x + 2 = 0. Give your solutions correct to 2 decimal places. [3]

    [3 marks]
    Show worked answerHide worked answer
    1. M1: x = dfrac-7 ± √7² - 4(2)(2)2(2)
    2. A1: x = dfrac-7 ± √334
    3. A1: x = -0.31 and x = -3.19
    Answer: x = -0.31 or x = -3.19
    Solving Quadratics with the Quadratic Formula

  5. Question 5. A parallelogram has sides of 12 cm and 10 cm and an area of 96 cm². Work out the size of the acute angle of the parallelogram. Give your answer correct to 1 decimal place.

    [3 marks]
    Show worked answerHide worked answer
    1. M1: 12 × 10 × sinθ = 96
    2. M1: sinθ = 0.8
    3. A1: θ = 53.1°
    Answer: 53.1°
    Finding the Area of a Parallelogram
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 6/7: Day 010

Grades 6/7Calculator

  1. Question 1. a : b = 2 : 3
    b : c = 5 : 4
    Work out a : b : c
    Give your answer in its simplest form.

    Show worked answerHide worked answer
    1. M1: a : b = 10 : 15
    2. M1: b : c = 15 : 12
    3. A1: 10 : 15 : 12
    Answer: 10 : 15 : 12
    Combining Ratios
    [3 marks]

  2. Question 2. Uma says that x+3/3 = x+1 for all values of x.
    Show that Uma is wrong.

    Show worked answerHide worked answer
    1. M1: substitutes a value, e.g. x=3
    2. A1: 6/3=2 but 3+1=4
    Answer: When x=3: left side =2, right side =4 (not equal)
    Simplifying Algebraic Fractions
    [2 marks]

  3. Question 3. Write dfrac58 as a decimal.

    Show worked answerHide worked answer
    1. M1: 5 ÷ 8
    2. A1: 0.625
    Answer: 0.625
    Rational & Irrational Numbers
    [2 marks]

  4. Question 4. Solve 2x² + 7x + 2 = 0. Give your solutions correct to 2 decimal places. [3]

    Show worked answerHide worked answer
    1. M1: x = dfrac-7 ± √7² - 4(2)(2)2(2)
    2. A1: x = dfrac-7 ± √334
    3. A1: x = -0.31 and x = -3.19
    Answer: x = -0.31 or x = -3.19
    Solving Quadratics with the Quadratic Formula
    [3 marks]

  5. Question 5. A parallelogram has sides of 12 cm and 10 cm and an area of 96 cm². Work out the size of the acute angle of the parallelogram. Give your answer correct to 1 decimal place.

    Show worked answerHide worked answer
    1. M1: 12 × 10 × sinθ = 96
    2. M1: sinθ = 0.8
    3. A1: θ = 53.1°
    Answer: 53.1°
    Finding the Area of a Parallelogram
    [3 marks]