Mixed Topic Worksheet Grades 4/5: Day 016
- 1
Question 1. Solve dfracx4 + 3 = 8 [2]
Fundamentals of Solving Equations▶ Show worked answerHide worked answer
- M1: dfracx4 = 5
- A1: x = 20
Answer: x = 20[2 marks] - 2
Question 2. Work out dfrac29 + dfrac49
Give your answer as a fraction in its simplest form.Adding Fractions▶ Show worked answerHide worked answer
- M1: 2 + 4 = 6, giving dfrac69
- A1: dfrac23
Answer: dfrac23[2 marks] - 3
Question 3. Use ruler and compasses to construct the perpendicular from P to the line XY.
You must show all your construction lines.Drawing a Perpendicular Line from a Point▶ Show worked answerHide worked answer
- M1: an arc centred on P cutting XY twice, then two equal arcs from these points crossing below XY
- A1: a line from P through the crossing point, meeting XY at right angles
Answer: The perpendicular from P to XY, with construction arcs[2 marks] - 4
Question 4. A and B have no members in common. P(A)=0.35 and P(B)=0.5. Work out P(Acup B).
Finding Probabilities of Sets▶ Show worked answerHide worked answer
- M1: Acap B=varnothing, so add the probabilities
- A1: 0.85
Answer: 0.85[2 marks] - 5
Question 5. The table shows the amounts spent by 30 customers in a cafe. Work out an estimate for the mean amount spent.
Mean, Mode & Median from a Grouped Frequency Table▶ Show worked answerHide worked answer
- M1: 2.5 × 9 + 7.5 × 7 + 12.5 × 5 + 17.5 × 5 + 22.5 × 4 = 315
- M1: 315 ÷ 30
- A1: £10.50
Answer: £10.50[3 marks]
Mixed Topic Worksheet Grades 4/5: Day 016
- 1
Question 1. Solve dfracx4 + 3 = 8 [2]
[2 marks]Fundamentals of Solving Equations▶ Show worked answerHide worked answer
- M1: dfracx4 = 5
- A1: x = 20
Answer: x = 20 - 2
Question 2. Work out dfrac29 + dfrac49
[2 marks]
Give your answer as a fraction in its simplest form.Adding Fractions▶ Show worked answerHide worked answer
- M1: 2 + 4 = 6, giving dfrac69
- A1: dfrac23
Answer: dfrac23 - 3
Question 3. Use ruler and compasses to construct the perpendicular from P to the line XY.
[2 marks]
You must show all your construction lines.Drawing a Perpendicular Line from a Point▶ Show worked answerHide worked answer
- M1: an arc centred on P cutting XY twice, then two equal arcs from these points crossing below XY
- A1: a line from P through the crossing point, meeting XY at right angles
Answer: The perpendicular from P to XY, with construction arcs - 4
Question 4. A and B have no members in common. P(A)=0.35 and P(B)=0.5. Work out P(Acup B).
[2 marks]Finding Probabilities of Sets▶ Show worked answerHide worked answer
- M1: Acap B=varnothing, so add the probabilities
- A1: 0.85
Answer: 0.85 - 5
Question 5. The table shows the amounts spent by 30 customers in a cafe. Work out an estimate for the mean amount spent.
[3 marks]Mean, Mode & Median from a Grouped Frequency Table▶ Show worked answerHide worked answer
- M1: 2.5 × 9 + 7.5 × 7 + 12.5 × 5 + 17.5 × 5 + 22.5 × 4 = 315
- M1: 315 ÷ 30
- A1: £10.50
Answer: £10.50
Mixed Topic Worksheet Grades 4/5: Day 016
- 1
Question 1. Solve dfracx4 + 3 = 8 [2]
Fundamentals of Solving Equations▶ Show worked answerHide worked answer
- M1: dfracx4 = 5
- A1: x = 20
Answer: x = 20[2 marks] - 2
Question 2. Work out dfrac29 + dfrac49
Give your answer as a fraction in its simplest form.Adding Fractions▶ Show worked answerHide worked answer
- M1: 2 + 4 = 6, giving dfrac69
- A1: dfrac23
Answer: dfrac23[2 marks] - 3
Question 3. Use ruler and compasses to construct the perpendicular from P to the line XY.
You must show all your construction lines.Drawing a Perpendicular Line from a Point▶ Show worked answerHide worked answer
- M1: an arc centred on P cutting XY twice, then two equal arcs from these points crossing below XY
- A1: a line from P through the crossing point, meeting XY at right angles
Answer: The perpendicular from P to XY, with construction arcs[2 marks] - 4
Question 4. A and B have no members in common. P(A)=0.35 and P(B)=0.5. Work out P(Acup B).
Finding Probabilities of Sets▶ Show worked answerHide worked answer
- M1: Acap B=varnothing, so add the probabilities
- A1: 0.85
Answer: 0.85[2 marks] - 5
Question 5. The table shows the amounts spent by 30 customers in a cafe. Work out an estimate for the mean amount spent.
Mean, Mode & Median from a Grouped Frequency Table▶ Show worked answerHide worked answer
- M1: 2.5 × 9 + 7.5 × 7 + 12.5 × 5 + 17.5 × 5 + 22.5 × 4 = 315
- M1: 315 ÷ 30
- A1: £10.50
Answer: £10.50[3 marks]