Mixed Topic Worksheet Grades 4/5: Day 092
- 1
Question 1. Sam wants a simple random sample of 40 of the 480 students in Year 10.
Method A: write every student's name on a card, mix the cards and draw out 40.
Method B: choose the 40 students in his own tutor group.
Which method gives a simple random sample?
Give a reason for your answer.Simple Random Sampling▶ Show worked answerHide worked answer
- B1: Method A
- C1: every student has the same chance of being chosen
Answer: Method A, because every student has the same chance of being chosen[2 marks] - 2
Question 2. Here are the first four terms of an arithmetic sequence.
7 qquad 9 qquad 11 qquad 13 qquad ldots
Write down an expression, in terms of n, for the nth term of the sequence.nth Term of Linear Sequences▶ Show worked answerHide worked answer
- M1: terms go up by 2 (9 - 7), so 2n
- A1: 2n + 5
Answer: 2n + 5[2 marks] - 3
Question 3. Work out the missing number.
square ÷ 1dfrac12 = 2dfrac23Dividing Mixed Numbers▶ Show worked answerHide worked answer
- M1: 2dfrac23=dfrac83 and 1dfrac12=dfrac32
- M1: dfrac83 × dfrac32 = dfrac246
- A1: 4
Answer: 4[3 marks] - 4
Question 4. The diagram shows a sector of a circle.
The radius of the circle is 8 cm.
The angle of the sector is 75^°.
Work out the perimeter of the sector.
Give your answer to 1 decimal place.Length of a Circle Arc▶ Show worked answerHide worked answer
- M1: 75/360 × 2 × π × 8
- M1: 10.47... + 8 + 8
- A1: 26.5
Answer: 26.5[3 marks] - 5
Question 5. A dealer sells a car for £2400.
He makes a loss of 20% on the price he paid.
Work out the amount of the loss.Profit & Loss▶ Show worked answerHide worked answer
- M1: 2400 ÷ 80 × 100 (the selling price is 80% of the price paid)
- M1: 3000 - 2400
- A1: £600
Answer: £600[3 marks]
Mixed Topic Worksheet Grades 4/5: Day 092
- 1
Question 1. Sam wants a simple random sample of 40 of the 480 students in Year 10.
[2 marks]
Method A: write every student's name on a card, mix the cards and draw out 40.
Method B: choose the 40 students in his own tutor group.
Which method gives a simple random sample?
Give a reason for your answer.Simple Random Sampling▶ Show worked answerHide worked answer
- B1: Method A
- C1: every student has the same chance of being chosen
Answer: Method A, because every student has the same chance of being chosen - 2
Question 2. Here are the first four terms of an arithmetic sequence.
[2 marks]
7 qquad 9 qquad 11 qquad 13 qquad ldots
Write down an expression, in terms of n, for the nth term of the sequence.nth Term of Linear Sequences▶ Show worked answerHide worked answer
- M1: terms go up by 2 (9 - 7), so 2n
- A1: 2n + 5
Answer: 2n + 5 - 3
Question 3. Work out the missing number.
[3 marks]
square ÷ 1dfrac12 = 2dfrac23Dividing Mixed Numbers▶ Show worked answerHide worked answer
- M1: 2dfrac23=dfrac83 and 1dfrac12=dfrac32
- M1: dfrac83 × dfrac32 = dfrac246
- A1: 4
Answer: 4 - 4
Question 4. The diagram shows a sector of a circle.
[3 marks]
The radius of the circle is 8 cm.
The angle of the sector is 75^°.
Work out the perimeter of the sector.
Give your answer to 1 decimal place.Length of a Circle Arc▶ Show worked answerHide worked answer
- M1: 75/360 × 2 × π × 8
- M1: 10.47... + 8 + 8
- A1: 26.5
Answer: 26.5 - 5
Question 5. A dealer sells a car for £2400.
[3 marks]
He makes a loss of 20% on the price he paid.
Work out the amount of the loss.Profit & Loss▶ Show worked answerHide worked answer
- M1: 2400 ÷ 80 × 100 (the selling price is 80% of the price paid)
- M1: 3000 - 2400
- A1: £600
Answer: £600
Mixed Topic Worksheet Grades 4/5: Day 092
- 1
Question 1. Sam wants a simple random sample of 40 of the 480 students in Year 10.
Method A: write every student's name on a card, mix the cards and draw out 40.
Method B: choose the 40 students in his own tutor group.
Which method gives a simple random sample?
Give a reason for your answer.Simple Random Sampling▶ Show worked answerHide worked answer
- B1: Method A
- C1: every student has the same chance of being chosen
Answer: Method A, because every student has the same chance of being chosen[2 marks] - 2
Question 2. Here are the first four terms of an arithmetic sequence.
7 qquad 9 qquad 11 qquad 13 qquad ldots
Write down an expression, in terms of n, for the nth term of the sequence.nth Term of Linear Sequences▶ Show worked answerHide worked answer
- M1: terms go up by 2 (9 - 7), so 2n
- A1: 2n + 5
Answer: 2n + 5[2 marks] - 3
Question 3. Work out the missing number.
square ÷ 1dfrac12 = 2dfrac23Dividing Mixed Numbers▶ Show worked answerHide worked answer
- M1: 2dfrac23=dfrac83 and 1dfrac12=dfrac32
- M1: dfrac83 × dfrac32 = dfrac246
- A1: 4
Answer: 4[3 marks] - 4
Question 4. The diagram shows a sector of a circle.
The radius of the circle is 8 cm.
The angle of the sector is 75^°.
Work out the perimeter of the sector.
Give your answer to 1 decimal place.Length of a Circle Arc▶ Show worked answerHide worked answer
- M1: 75/360 × 2 × π × 8
- M1: 10.47... + 8 + 8
- A1: 26.5
Answer: 26.5[3 marks] - 5
Question 5. A dealer sells a car for £2400.
He makes a loss of 20% on the price he paid.
Work out the amount of the loss.Profit & Loss▶ Show worked answerHide worked answer
- M1: 2400 ÷ 80 × 100 (the selling price is 80% of the price paid)
- M1: 3000 - 2400
- A1: £600
Answer: £600[3 marks]