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

Mixed Topic Worksheet Grades 1/2/3: Day 064

Grades 1/2/3Non-calculator
  1. Question 1. The diagram shows triangle PQR.
    (a) Write down the size of angle QRP. [1]
    (b) Work out the total of angle PQR and angle QRP. [2]

    Show worked answerHide worked answer
    1. (a) B1: 45^° (the angle at R)
    2. (b) M1: 64 + 45
    3. (b) A1: 109^°
    Answer: (a) 45^°; (b) 109^°
    Angle Notation
    71°64°45°PQR
    [3 marks]
  2. Question 2. Triangle ABC is congruent to triangle DEF.
    Work out the size of angle x.

    Show worked answerHide worked answer
    1. B1: 72
    Answer: 72
    Fundamentals of Congruence
    38°72°70°38°x70°ABCDEFNot drawn accurately
    [1 mark]
  3. Question 3. Here are the masses, in kilograms, of 10 parcels.
    3.4, 2.8, 4.1, 3.9, 2.5, 4.6, 3.2, 2.9, 3.7, 4.3
    Draw an ordered stem and leaf diagram to show this information. Include a key.

    Show worked answerHide worked answer
    1. M1: 2 | 8 5 9; 3 | 4 9 2 7; 4 | 1 6 3
    2. A1: 2 | 5 8 9; 3 | 2 4 7 9; 4 | 1 3 6
    3. B1: Key, for example 3 | 4 means 3.4 kg
    2589324794136Key: 3 | 4 means 3.4 kg
    Answer: 2 | 5 8 9; 3 | 2 4 7 9; 4 | 1 3 6; key 3 | 4 means 3.4 kg
    Drawing Stem & Leaf Diagrams
    [3 marks]
  4. Question 4. dfrac38 of the paint in a tin is blue. The rest of the paint is yellow.

    Work out the ratio of blue paint to yellow paint.
    Give your ratio in its lowest terms.

    Show worked answerHide worked answer
    1. M1: yellow is dfrac58, or 8 - 3 = 5 parts
    2. A1: 3 : 5
    Answer: 3 : 5
    Writing Ratios as Fractions
    [2 marks]
  5. Question 5. Priya spends 0.24 of her pocket money on sweets. Write 0.24 as a fraction in its simplest form.

    Show worked answerHide worked answer
    1. M1: Writes 0.24 over 100
    2. A1: Cancels to dfrac625
    Answer: dfrac625
    Writing Decimals & Percentages as Fractions
    [2 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 1/2/3: Day 064

Grades 1/2/3Non-calculator
  1. Question 1. The diagram shows triangle PQR.
    (a) Write down the size of angle QRP. [1]
    (b) Work out the total of angle PQR and angle QRP. [2]

    [3 marks]
    71°64°45°PQR
    Show worked answerHide worked answer
    1. (a) B1: 45^° (the angle at R)
    2. (b) M1: 64 + 45
    3. (b) A1: 109^°
    Answer: (a) 45^°; (b) 109^°
    Angle Notation
  2. Question 2. Triangle ABC is congruent to triangle DEF.
    Work out the size of angle x.

    [1 mark]
    38°72°70°38°x70°ABCDEFNot drawn accurately
    Show worked answerHide worked answer
    1. B1: 72
    Answer: 72
    Fundamentals of Congruence
  3. Question 3. Here are the masses, in kilograms, of 10 parcels.
    3.4, 2.8, 4.1, 3.9, 2.5, 4.6, 3.2, 2.9, 3.7, 4.3
    Draw an ordered stem and leaf diagram to show this information. Include a key.

    [3 marks]
    Show worked answerHide worked answer
    1. M1: 2 | 8 5 9; 3 | 4 9 2 7; 4 | 1 6 3
    2. A1: 2 | 5 8 9; 3 | 2 4 7 9; 4 | 1 3 6
    3. B1: Key, for example 3 | 4 means 3.4 kg
    2589324794136Key: 3 | 4 means 3.4 kg
    Answer: 2 | 5 8 9; 3 | 2 4 7 9; 4 | 1 3 6; key 3 | 4 means 3.4 kg
    Drawing Stem & Leaf Diagrams
  4. Question 4. dfrac38 of the paint in a tin is blue. The rest of the paint is yellow.

    Work out the ratio of blue paint to yellow paint.
    Give your ratio in its lowest terms.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: yellow is dfrac58, or 8 - 3 = 5 parts
    2. A1: 3 : 5
    Answer: 3 : 5
    Writing Ratios as Fractions
  5. Question 5. Priya spends 0.24 of her pocket money on sweets. Write 0.24 as a fraction in its simplest form.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: Writes 0.24 over 100
    2. A1: Cancels to dfrac625
    Answer: dfrac625
    Writing Decimals & Percentages as Fractions
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 1/2/3: Day 064

Grades 1/2/3Non-calculator
  1. Question 1. The diagram shows triangle PQR.
    (a) Write down the size of angle QRP. [1]
    (b) Work out the total of angle PQR and angle QRP. [2]

    Show worked answerHide worked answer
    1. (a) B1: 45^° (the angle at R)
    2. (b) M1: 64 + 45
    3. (b) A1: 109^°
    Answer: (a) 45^°; (b) 109^°
    Angle Notation
    71°64°45°PQR
    [3 marks]
  2. Question 2. Triangle ABC is congruent to triangle DEF.
    Work out the size of angle x.

    Show worked answerHide worked answer
    1. B1: 72
    Answer: 72
    Fundamentals of Congruence
    38°72°70°38°x70°ABCDEFNot drawn accurately
    [1 mark]
  3. Question 3. Here are the masses, in kilograms, of 10 parcels.
    3.4, 2.8, 4.1, 3.9, 2.5, 4.6, 3.2, 2.9, 3.7, 4.3
    Draw an ordered stem and leaf diagram to show this information. Include a key.

    Show worked answerHide worked answer
    1. M1: 2 | 8 5 9; 3 | 4 9 2 7; 4 | 1 6 3
    2. A1: 2 | 5 8 9; 3 | 2 4 7 9; 4 | 1 3 6
    3. B1: Key, for example 3 | 4 means 3.4 kg
    2589324794136Key: 3 | 4 means 3.4 kg
    Answer: 2 | 5 8 9; 3 | 2 4 7 9; 4 | 1 3 6; key 3 | 4 means 3.4 kg
    Drawing Stem & Leaf Diagrams
    [3 marks]
  4. Question 4. dfrac38 of the paint in a tin is blue. The rest of the paint is yellow.

    Work out the ratio of blue paint to yellow paint.
    Give your ratio in its lowest terms.

    Show worked answerHide worked answer
    1. M1: yellow is dfrac58, or 8 - 3 = 5 parts
    2. A1: 3 : 5
    Answer: 3 : 5
    Writing Ratios as Fractions
    [2 marks]
  5. Question 5. Priya spends 0.24 of her pocket money on sweets. Write 0.24 as a fraction in its simplest form.

    Show worked answerHide worked answer
    1. M1: Writes 0.24 over 100
    2. A1: Cancels to dfrac625
    Answer: dfrac625
    Writing Decimals & Percentages as Fractions
    [2 marks]