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

Mixed Topic Worksheet Grades 4/5: Day 057

Grades 4/5Non-calculator

  1. Question 1. A plastic block has a density of 1.2 g/cm³ and a volume of 150 cm³.

    Work out the mass of the block.

    Show worked answerHide worked answer
    1. M1: 1.2 × 150
    2. A1: 180
    Answer: 180 g
    Density, Mass & Volume Calculations
    [2 marks]

  2. Question 2. The probability that a spinner lands on red is 0.3.
    The spinner is spun 200 times.
    Work out the number of times you expect it to land on red.

    Show worked answerHide worked answer
    1. M1: 0.3 × 200
    2. A1: 60
    Answer: 60
    Expected Frequency
    [2 marks]

  3. Question 3. A and B are two points 6 cm apart.
    The point X is 4 cm from A and 4 cm from B.
    The point Y is 3 cm from A and 3 cm from B.
    Sam says that X and Y both lie on the perpendicular bisector of AB.
    Is Sam correct? Give a reason for your answer.

    Show worked answerHide worked answer
    1. M1: XA = XB = 4 cm and YA = YB = 3 cm
    2. A1: Sam is correct, because 3 + 3 = 6 means Y is the midpoint of AB, which is on the perpendicular bisector
    Answer: Yes. Both points are the same distance from A and B; Y is the midpoint of AB, which lies on its perpendicular bisector.
    Drawing Perpendicular Bisectors
    [2 marks]

  4. Question 4. p = 0.045, correct to 2 significant figures. Write down the error interval for p.

    Show worked answerHide worked answer
    1. B1: half a unit in the 3rd decimal place is 0.0005
    2. B1: 0.0445 ≤ p < 0.0455
    Answer: 0.0445 ≤ p < 0.0455
    Finding Bounds & Error Intervals
    [2 marks]

  5. Question 5. The equation x² + bx = 0 has solutions
    x = 0
    x = -8
    Work out the value of b

    Show worked answerHide worked answer
    1. M1: (-8)² + b(-8) = 0
    2. M1: 64 - 8b = 0
    3. A1: b = 8
    Answer: b = 8
    Solving Quadratics by Factorising When c = 0
    [3 marks]
📅 Free lesson: Tue 17th NovSave your place →

Mixed Topic Worksheet Grades 4/5: Day 057

Grades 4/5Non-calculator

  1. Question 1. A plastic block has a density of 1.2 g/cm³ and a volume of 150 cm³.

    Work out the mass of the block.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 1.2 × 150
    2. A1: 180
    Answer: 180 g
    Density, Mass & Volume Calculations

  2. Question 2. The probability that a spinner lands on red is 0.3.
    The spinner is spun 200 times.
    Work out the number of times you expect it to land on red.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: 0.3 × 200
    2. A1: 60
    Answer: 60
    Expected Frequency

  3. Question 3. A and B are two points 6 cm apart.
    The point X is 4 cm from A and 4 cm from B.
    The point Y is 3 cm from A and 3 cm from B.
    Sam says that X and Y both lie on the perpendicular bisector of AB.
    Is Sam correct? Give a reason for your answer.

    [2 marks]
    Show worked answerHide worked answer
    1. M1: XA = XB = 4 cm and YA = YB = 3 cm
    2. A1: Sam is correct, because 3 + 3 = 6 means Y is the midpoint of AB, which is on the perpendicular bisector
    Answer: Yes. Both points are the same distance from A and B; Y is the midpoint of AB, which lies on its perpendicular bisector.
    Drawing Perpendicular Bisectors

  4. Question 4. p = 0.045, correct to 2 significant figures. Write down the error interval for p.

    [2 marks]
    Show worked answerHide worked answer
    1. B1: half a unit in the 3rd decimal place is 0.0005
    2. B1: 0.0445 ≤ p < 0.0455
    Answer: 0.0445 ≤ p < 0.0455
    Finding Bounds & Error Intervals

  5. Question 5. The equation x² + bx = 0 has solutions
    x = 0
    x = -8
    Work out the value of b

    [3 marks]
    Show worked answerHide worked answer
    1. M1: (-8)² + b(-8) = 0
    2. M1: 64 - 8b = 0
    3. A1: b = 8
    Answer: b = 8
    Solving Quadratics by Factorising When c = 0
📅 Free live lesson: Tuesday 17th NovemberSave your free place →

Mixed Topic Worksheet Grades 4/5: Day 057

Grades 4/5Non-calculator

  1. Question 1. A plastic block has a density of 1.2 g/cm³ and a volume of 150 cm³.

    Work out the mass of the block.

    Show worked answerHide worked answer
    1. M1: 1.2 × 150
    2. A1: 180
    Answer: 180 g
    Density, Mass & Volume Calculations
    [2 marks]

  2. Question 2. The probability that a spinner lands on red is 0.3.
    The spinner is spun 200 times.
    Work out the number of times you expect it to land on red.

    Show worked answerHide worked answer
    1. M1: 0.3 × 200
    2. A1: 60
    Answer: 60
    Expected Frequency
    [2 marks]

  3. Question 3. A and B are two points 6 cm apart.
    The point X is 4 cm from A and 4 cm from B.
    The point Y is 3 cm from A and 3 cm from B.
    Sam says that X and Y both lie on the perpendicular bisector of AB.
    Is Sam correct? Give a reason for your answer.

    Show worked answerHide worked answer
    1. M1: XA = XB = 4 cm and YA = YB = 3 cm
    2. A1: Sam is correct, because 3 + 3 = 6 means Y is the midpoint of AB, which is on the perpendicular bisector
    Answer: Yes. Both points are the same distance from A and B; Y is the midpoint of AB, which lies on its perpendicular bisector.
    Drawing Perpendicular Bisectors
    [2 marks]

  4. Question 4. p = 0.045, correct to 2 significant figures. Write down the error interval for p.

    Show worked answerHide worked answer
    1. B1: half a unit in the 3rd decimal place is 0.0005
    2. B1: 0.0445 ≤ p < 0.0455
    Answer: 0.0445 ≤ p < 0.0455
    Finding Bounds & Error Intervals
    [2 marks]

  5. Question 5. The equation x² + bx = 0 has solutions
    x = 0
    x = -8
    Work out the value of b

    Show worked answerHide worked answer
    1. M1: (-8)² + b(-8) = 0
    2. M1: 64 - 8b = 0
    3. A1: b = 8
    Answer: b = 8
    Solving Quadratics by Factorising When c = 0
    [3 marks]