Mixed Topic Worksheet Grades 4/5: Day 024
- 1
Question 1. The area, A cm², of a triangle is given by A = dfrac12bh.
Work out the value of A when b = 9 and h = 4.Substituting into Real-Life Formulae▶ Show worked answerHide worked answer
- M1: dfrac12 × 9 × 4
- A1: 18
Answer: 18[2 marks] - 2
Question 2. Work out an estimate for 612 ÷ 19 by rounding each number to 1 significant figure.
Estimating Calculations▶ Show worked answerHide worked answer
- M1: rounds both numbers to 1 s.f.: 600 and 20
- A1: 30
Answer: 30[2 marks] - 3
Question 3. Two fair coins are flipped.
Sam says, "There are 3 possible outcomes: two heads, two tails, or one of each.
So the probability of getting two heads is dfrac13."
Is Sam correct?
Give a reason for your answer.Sample Space Diagrams▶ Show worked answerHide worked answer
- M1: 2 × 2 = 4 equally likely outcomes, HH, HT, TH and TT
- A1: No, the probability is dfrac14, as the outcomes are equally likely
Answer: No. One head and one tail can happen in two ways, HT and TH, so there are 4 equally likely outcomes and P(two heads) = 1/4.[2 marks] - 4
Question 4. 30 people were asked for their favourite hot drink. 9 of them chose tea. Jo is drawing a pie chart for this information. Jo says, "The angle for tea is 9°."
Is Jo correct? You must give a reason for your answer.Drawing Pie Charts▶ Show worked answerHide worked answer
- M1: 360 ÷ 30 = 12 degrees for each person, or 9 ÷ 30 × 360
- A1: No, because the angle is 108° (not 9°)
Answer: No. The angle for tea is 108° (360 ÷ 30 = 12, 9 × 12 = 108), not 9°.[2 marks] - 5
Question 5. An ice cream cone is full of ice cream.
The cone has radius 3 cm and height 9 cm.
There is a hemisphere of ice cream on top of the cone.
The hemisphere has radius 3 cm.
Work out the total volume of ice cream.
Give your answer to 1 decimal place.Volume of Composite Shapes▶ Show worked answerHide worked answer
- M1: 1/3 × π × 3² × 9
- M1: 2/3 × π × 3³
- M1: 84.82 + 56.55
- A1: 141.4
Answer: 141.4[4 marks]
Mixed Topic Worksheet Grades 4/5: Day 024
- 1
Question 1. The area, A cm², of a triangle is given by A = dfrac12bh.
[2 marks]
Work out the value of A when b = 9 and h = 4.Substituting into Real-Life Formulae▶ Show worked answerHide worked answer
- M1: dfrac12 × 9 × 4
- A1: 18
Answer: 18 - 2
Question 2. Work out an estimate for 612 ÷ 19 by rounding each number to 1 significant figure.
[2 marks]Estimating Calculations▶ Show worked answerHide worked answer
- M1: rounds both numbers to 1 s.f.: 600 and 20
- A1: 30
Answer: 30 - 3
Question 3. Two fair coins are flipped.
[2 marks]
Sam says, "There are 3 possible outcomes: two heads, two tails, or one of each.
So the probability of getting two heads is dfrac13."
Is Sam correct?
Give a reason for your answer.Sample Space Diagrams▶ Show worked answerHide worked answer
- M1: 2 × 2 = 4 equally likely outcomes, HH, HT, TH and TT
- A1: No, the probability is dfrac14, as the outcomes are equally likely
Answer: No. One head and one tail can happen in two ways, HT and TH, so there are 4 equally likely outcomes and P(two heads) = 1/4. - 4
Question 4. 30 people were asked for their favourite hot drink. 9 of them chose tea. Jo is drawing a pie chart for this information. Jo says, "The angle for tea is 9°."
[2 marks]
Is Jo correct? You must give a reason for your answer.Drawing Pie Charts▶ Show worked answerHide worked answer
- M1: 360 ÷ 30 = 12 degrees for each person, or 9 ÷ 30 × 360
- A1: No, because the angle is 108° (not 9°)
Answer: No. The angle for tea is 108° (360 ÷ 30 = 12, 9 × 12 = 108), not 9°. - 5
Question 5. An ice cream cone is full of ice cream.
[4 marks]
The cone has radius 3 cm and height 9 cm.
There is a hemisphere of ice cream on top of the cone.
The hemisphere has radius 3 cm.
Work out the total volume of ice cream.
Give your answer to 1 decimal place.Volume of Composite Shapes▶ Show worked answerHide worked answer
- M1: 1/3 × π × 3² × 9
- M1: 2/3 × π × 3³
- M1: 84.82 + 56.55
- A1: 141.4
Answer: 141.4
Mixed Topic Worksheet Grades 4/5: Day 024
- 1
Question 1. The area, A cm², of a triangle is given by A = dfrac12bh.
Work out the value of A when b = 9 and h = 4.Substituting into Real-Life Formulae▶ Show worked answerHide worked answer
- M1: dfrac12 × 9 × 4
- A1: 18
Answer: 18[2 marks] - 2
Question 2. Work out an estimate for 612 ÷ 19 by rounding each number to 1 significant figure.
Estimating Calculations▶ Show worked answerHide worked answer
- M1: rounds both numbers to 1 s.f.: 600 and 20
- A1: 30
Answer: 30[2 marks] - 3
Question 3. Two fair coins are flipped.
Sam says, "There are 3 possible outcomes: two heads, two tails, or one of each.
So the probability of getting two heads is dfrac13."
Is Sam correct?
Give a reason for your answer.Sample Space Diagrams▶ Show worked answerHide worked answer
- M1: 2 × 2 = 4 equally likely outcomes, HH, HT, TH and TT
- A1: No, the probability is dfrac14, as the outcomes are equally likely
Answer: No. One head and one tail can happen in two ways, HT and TH, so there are 4 equally likely outcomes and P(two heads) = 1/4.[2 marks] - 4
Question 4. 30 people were asked for their favourite hot drink. 9 of them chose tea. Jo is drawing a pie chart for this information. Jo says, "The angle for tea is 9°."
Is Jo correct? You must give a reason for your answer.Drawing Pie Charts▶ Show worked answerHide worked answer
- M1: 360 ÷ 30 = 12 degrees for each person, or 9 ÷ 30 × 360
- A1: No, because the angle is 108° (not 9°)
Answer: No. The angle for tea is 108° (360 ÷ 30 = 12, 9 × 12 = 108), not 9°.[2 marks] - 5
Question 5. An ice cream cone is full of ice cream.
The cone has radius 3 cm and height 9 cm.
There is a hemisphere of ice cream on top of the cone.
The hemisphere has radius 3 cm.
Work out the total volume of ice cream.
Give your answer to 1 decimal place.Volume of Composite Shapes▶ Show worked answerHide worked answer
- M1: 1/3 × π × 3² × 9
- M1: 2/3 × π × 3³
- M1: 84.82 + 56.55
- A1: 141.4
Answer: 141.4[4 marks]