Mixed Topic Worksheet Grades 4/5: Day 001
- 1
Question 1. Here is a conversion graph between pounds (£) and euros (€).
(a) Use the graph to change £30 into euros. [1]
(b) Change £250 into euros. [3]Conversion Graphs▶ Show worked answerHide worked answer
- (a) B1: €36
- (b) M1: a reading from the graph, £50 = €60
- (b) M1: 250 ÷ 50 = 5
- (b) A1: 5 × 60 = €300
Answer: (a) €36; (b) €300[4 marks] - 2
Question 2. The probability that a spinner lands on green is 0.45
This probability is written as the fraction dfracn20.
Work out the value of n.Expressing Probabilities in Different Forms▶ Show worked answerHide worked answer
- M1: 0.45 × 20
- A1: 9
Answer: 9[2 marks] - 3
Question 3. Simplify 2x + 3x × 4 - x
BIDMAS with Algebra▶ Show worked answerHide worked answer
- M1: multiplies first, 3x × 4 = 12x
- A1: 13x
Answer: 13x[2 marks] - 4
Question 4. The volume of the pyramid is 100 cm³. The base of the pyramid is a square of side 5 cm.
Work out the perpendicular height, h cm, of the pyramid.Volume of Pyramids▶ Show worked answerHide worked answer
- M1: 1/3 × 5 × 5 × h = 100
- M1: h = 3 × 100 ÷ 25
- A1: 12
Answer: 12[3 marks] - 5
Question 5. The mean of five numbers is 8.
Four of the numbers are 4, 9, 12 and 6.
Work out the fifth number.Reverse Mean from a List▶ Show worked answerHide worked answer
- M1: total = 5 x 8 = 40
- M1: 40 - (4+9+12+6) = 40 - 31
- A1: 9
Answer: 9[3 marks]
Mixed Topic Worksheet Grades 4/5: Day 001
- 1
Question 1. Here is a conversion graph between pounds (£) and euros (€).
[4 marks]
(a) Use the graph to change £30 into euros. [1]
(b) Change £250 into euros. [3]Conversion Graphs▶ Show worked answerHide worked answer
- (a) B1: €36
- (b) M1: a reading from the graph, £50 = €60
- (b) M1: 250 ÷ 50 = 5
- (b) A1: 5 × 60 = €300
Answer: (a) €36; (b) €300 - 2
Question 2. The probability that a spinner lands on green is 0.45
[2 marks]
This probability is written as the fraction dfracn20.
Work out the value of n.Expressing Probabilities in Different Forms▶ Show worked answerHide worked answer
- M1: 0.45 × 20
- A1: 9
Answer: 9 - 3
Question 3. Simplify 2x + 3x × 4 - x
[2 marks]BIDMAS with Algebra▶ Show worked answerHide worked answer
- M1: multiplies first, 3x × 4 = 12x
- A1: 13x
Answer: 13x - 4
Question 4. The volume of the pyramid is 100 cm³. The base of the pyramid is a square of side 5 cm.
[3 marks]
Work out the perpendicular height, h cm, of the pyramid.Volume of Pyramids▶ Show worked answerHide worked answer
- M1: 1/3 × 5 × 5 × h = 100
- M1: h = 3 × 100 ÷ 25
- A1: 12
Answer: 12 - 5
Question 5. The mean of five numbers is 8.
[3 marks]
Four of the numbers are 4, 9, 12 and 6.
Work out the fifth number.Reverse Mean from a List▶ Show worked answerHide worked answer
- M1: total = 5 x 8 = 40
- M1: 40 - (4+9+12+6) = 40 - 31
- A1: 9
Answer: 9
Mixed Topic Worksheet Grades 4/5: Day 001
- 1
Question 1. Here is a conversion graph between pounds (£) and euros (€).
(a) Use the graph to change £30 into euros. [1]
(b) Change £250 into euros. [3]Conversion Graphs▶ Show worked answerHide worked answer
- (a) B1: €36
- (b) M1: a reading from the graph, £50 = €60
- (b) M1: 250 ÷ 50 = 5
- (b) A1: 5 × 60 = €300
Answer: (a) €36; (b) €300[4 marks] - 2
Question 2. The probability that a spinner lands on green is 0.45
This probability is written as the fraction dfracn20.
Work out the value of n.Expressing Probabilities in Different Forms▶ Show worked answerHide worked answer
- M1: 0.45 × 20
- A1: 9
Answer: 9[2 marks] - 3
Question 3. Simplify 2x + 3x × 4 - x
BIDMAS with Algebra▶ Show worked answerHide worked answer
- M1: multiplies first, 3x × 4 = 12x
- A1: 13x
Answer: 13x[2 marks] - 4
Question 4. The volume of the pyramid is 100 cm³. The base of the pyramid is a square of side 5 cm.
Work out the perpendicular height, h cm, of the pyramid.Volume of Pyramids▶ Show worked answerHide worked answer
- M1: 1/3 × 5 × 5 × h = 100
- M1: h = 3 × 100 ÷ 25
- A1: 12
Answer: 12[3 marks] - 5
Question 5. The mean of five numbers is 8.
Four of the numbers are 4, 9, 12 and 6.
Work out the fifth number.Reverse Mean from a List▶ Show worked answerHide worked answer
- M1: total = 5 x 8 = 40
- M1: 40 - (4+9+12+6) = 40 - 31
- A1: 9
Answer: 9[3 marks]