Mixed Topic Worksheet Grades 4/5: Day 074
- 1
Question 1. Make q the subject of p = 6 + 2q
Fundamentals of Rearranging Equations▶ Show worked answerHide worked answer
- M1: p - 6 = 2q
- A1: q = dfracp - 62
Answer: q = dfracp - 62[2 marks] - 2
Question 2. A right angle is split by a line into two angles.
The two angles are 4x degrees and (x + 15) degrees.
Work out the value of x.Drawing a 90° Angle▶ Show worked answerHide worked answer
- M1: 4x + x + 15 = 90
- A1: 5x = 75 so x = 15
Answer: 15[2 marks] - 3
Question 3. Lily throws a beanbag at a target 20 times and hits it 15 times.
Max throws the beanbag 80 times and hits the target 20 times.
Work out the relative frequency of hits for all of their throws together.Relative Frequency Graphs▶ Show worked answerHide worked answer
- M1: (15 + 20) ÷ (20 + 80)
- A1: 0.35
Answer: 0.35[2 marks] - 4
Question 4. The cost of a train fare goes up from £40 to £46.
Work out the percentage increase.Identifying Percentage Changes▶ Show worked answerHide worked answer
- M1: (46 - 40) ÷ 40 × 100
- A1: 15%
Answer: 15%[2 marks] - 5
Question 5. A lorry is worth £20 000.
Its value falls by 10% each year.
Work out the value of the lorry after 4 years.Compound Decay▶ Show worked answerHide worked answer
- M1: 100 - 10 = 90%
- M1: 20000 × 0.9 × 0.9 × 0.9 × 0.9
- A1: 13122
Answer: £13,122[3 marks]
Mixed Topic Worksheet Grades 4/5: Day 074
- 1
Question 1. Make q the subject of p = 6 + 2q
[2 marks]Fundamentals of Rearranging Equations▶ Show worked answerHide worked answer
- M1: p - 6 = 2q
- A1: q = dfracp - 62
Answer: q = dfracp - 62 - 2
Question 2. A right angle is split by a line into two angles.
[2 marks]
The two angles are 4x degrees and (x + 15) degrees.
Work out the value of x.Drawing a 90° Angle▶ Show worked answerHide worked answer
- M1: 4x + x + 15 = 90
- A1: 5x = 75 so x = 15
Answer: 15 - 3
Question 3. Lily throws a beanbag at a target 20 times and hits it 15 times.
[2 marks]
Max throws the beanbag 80 times and hits the target 20 times.
Work out the relative frequency of hits for all of their throws together.Relative Frequency Graphs▶ Show worked answerHide worked answer
- M1: (15 + 20) ÷ (20 + 80)
- A1: 0.35
Answer: 0.35 - 4
Question 4. The cost of a train fare goes up from £40 to £46.
[2 marks]
Work out the percentage increase.Identifying Percentage Changes▶ Show worked answerHide worked answer
- M1: (46 - 40) ÷ 40 × 100
- A1: 15%
Answer: 15% - 5
Question 5. A lorry is worth £20 000.
[3 marks]
Its value falls by 10% each year.
Work out the value of the lorry after 4 years.Compound Decay▶ Show worked answerHide worked answer
- M1: 100 - 10 = 90%
- M1: 20000 × 0.9 × 0.9 × 0.9 × 0.9
- A1: 13122
Answer: £13,122
Mixed Topic Worksheet Grades 4/5: Day 074
- 1
Question 1. Make q the subject of p = 6 + 2q
Fundamentals of Rearranging Equations▶ Show worked answerHide worked answer
- M1: p - 6 = 2q
- A1: q = dfracp - 62
Answer: q = dfracp - 62[2 marks] - 2
Question 2. A right angle is split by a line into two angles.
The two angles are 4x degrees and (x + 15) degrees.
Work out the value of x.Drawing a 90° Angle▶ Show worked answerHide worked answer
- M1: 4x + x + 15 = 90
- A1: 5x = 75 so x = 15
Answer: 15[2 marks] - 3
Question 3. Lily throws a beanbag at a target 20 times and hits it 15 times.
Max throws the beanbag 80 times and hits the target 20 times.
Work out the relative frequency of hits for all of their throws together.Relative Frequency Graphs▶ Show worked answerHide worked answer
- M1: (15 + 20) ÷ (20 + 80)
- A1: 0.35
Answer: 0.35[2 marks] - 4
Question 4. The cost of a train fare goes up from £40 to £46.
Work out the percentage increase.Identifying Percentage Changes▶ Show worked answerHide worked answer
- M1: (46 - 40) ÷ 40 × 100
- A1: 15%
Answer: 15%[2 marks] - 5
Question 5. A lorry is worth £20 000.
Its value falls by 10% each year.
Work out the value of the lorry after 4 years.Compound Decay▶ Show worked answerHide worked answer
- M1: 100 - 10 = 90%
- M1: 20000 × 0.9 × 0.9 × 0.9 × 0.9
- A1: 13122
Answer: £13,122[3 marks]