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

Mixed Topic Worksheet Grades 4/5: Day 027

Grades 4/5Non-calculator
  1. Question 1. Here are the favourite fruits of 9 children.
    apple banana apple orange apple banana pear banana banana
    Write down the mode.

    Show worked answerHide worked answer
    1. B1: banana
    Answer: banana
    Mode from a List
    [1 mark]
  2. Question 2. Which is the larger fraction, dfrac34 or dfrac23?

    Show worked answerHide worked answer
    1. M1: dfrac34 = dfrac912 and dfrac23 = dfrac812
    2. A1: dfrac34
    Answer: dfrac34
    Ordering Fractions
    [2 marks]
  3. Question 3. Pattern 1 uses 5 matchsticks, pattern 2 uses 9 and pattern 3 uses 13.
    (a) Describe how the number of matchsticks changes from one pattern to the next. [1]
    (b) How many matchsticks does pattern 10 use? [1]

    Show worked answerHide worked answer
    1. B1: (a) it goes up by 4 each time
    2. B1: (b) 5 + 9 × 4 = 41
    Answer: (a) Add 4 each time; (b) 41
    Position-to-Term Rules Using Patterns
    [2 marks]
  4. Question 4. Triangle ABC and triangle PQR are similar.
    Work out the length of QR.

    Show worked answerHide worked answer
    1. M1: 15 ÷ 5 = 3 and 3 × 7
    2. A1: 21
    Answer: 21 cm
    Similar Side Lengths
    5 cm7 cm15 cmxABCPQRNot drawn accurately
    [2 marks]
  5. Question 5. The graph shows the mass of flour needed to make cakes.
    Work out the mass of flour needed to make 15 cakes.

    Show worked answerHide worked answer
    1. M1: Finds the mass for 1 cake, or multiplies by 15 ÷ 4
    2. A1: 750
    Answer: 750 g
    Direct Proportion Graphs
    Number of cakesMass of flour (g)01002003000123456
    [2 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 4/5: Day 027

Grades 4/5Non-calculator
  1. Question 1. Here are the favourite fruits of 9 children.
    apple banana apple orange apple banana pear banana banana
    Write down the mode.

    [1 mark]
    Show worked answerHide worked answer
    1. B1: banana
    Answer: banana
    Mode from a List
  2. Question 2. Which is the larger fraction, dfrac34 or dfrac23?

    [2 marks]
    Show worked answerHide worked answer
    1. M1: dfrac34 = dfrac912 and dfrac23 = dfrac812
    2. A1: dfrac34
    Answer: dfrac34
    Ordering Fractions
  3. Question 3. Pattern 1 uses 5 matchsticks, pattern 2 uses 9 and pattern 3 uses 13.
    (a) Describe how the number of matchsticks changes from one pattern to the next. [1]
    (b) How many matchsticks does pattern 10 use? [1]

    [2 marks]
    Show worked answerHide worked answer
    1. B1: (a) it goes up by 4 each time
    2. B1: (b) 5 + 9 × 4 = 41
    Answer: (a) Add 4 each time; (b) 41
    Position-to-Term Rules Using Patterns
  4. Question 4. Triangle ABC and triangle PQR are similar.
    Work out the length of QR.

    [2 marks]
    5 cm7 cm15 cmxABCPQRNot drawn accurately
    Show worked answerHide worked answer
    1. M1: 15 ÷ 5 = 3 and 3 × 7
    2. A1: 21
    Answer: 21 cm
    Similar Side Lengths
  5. Question 5. The graph shows the mass of flour needed to make cakes.
    Work out the mass of flour needed to make 15 cakes.

    [2 marks]
    Number of cakesMass of flour (g)01002003000123456
    Show worked answerHide worked answer
    1. M1: Finds the mass for 1 cake, or multiplies by 15 ÷ 4
    2. A1: 750
    Answer: 750 g
    Direct Proportion Graphs
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 4/5: Day 027

Grades 4/5Non-calculator
  1. Question 1. Here are the favourite fruits of 9 children.
    apple banana apple orange apple banana pear banana banana
    Write down the mode.

    Show worked answerHide worked answer
    1. B1: banana
    Answer: banana
    Mode from a List
    [1 mark]
  2. Question 2. Which is the larger fraction, dfrac34 or dfrac23?

    Show worked answerHide worked answer
    1. M1: dfrac34 = dfrac912 and dfrac23 = dfrac812
    2. A1: dfrac34
    Answer: dfrac34
    Ordering Fractions
    [2 marks]
  3. Question 3. Pattern 1 uses 5 matchsticks, pattern 2 uses 9 and pattern 3 uses 13.
    (a) Describe how the number of matchsticks changes from one pattern to the next. [1]
    (b) How many matchsticks does pattern 10 use? [1]

    Show worked answerHide worked answer
    1. B1: (a) it goes up by 4 each time
    2. B1: (b) 5 + 9 × 4 = 41
    Answer: (a) Add 4 each time; (b) 41
    Position-to-Term Rules Using Patterns
    [2 marks]
  4. Question 4. Triangle ABC and triangle PQR are similar.
    Work out the length of QR.

    Show worked answerHide worked answer
    1. M1: 15 ÷ 5 = 3 and 3 × 7
    2. A1: 21
    Answer: 21 cm
    Similar Side Lengths
    5 cm7 cm15 cmxABCPQRNot drawn accurately
    [2 marks]
  5. Question 5. The graph shows the mass of flour needed to make cakes.
    Work out the mass of flour needed to make 15 cakes.

    Show worked answerHide worked answer
    1. M1: Finds the mass for 1 cake, or multiplies by 15 ÷ 4
    2. A1: 750
    Answer: 750 g
    Direct Proportion Graphs
    Number of cakesMass of flour (g)01002003000123456
    [2 marks]