Mixed Topic Worksheet Grades 4/5: Day 019
- 1
Question 1. A circle has a diameter of 18 cm.
Work out the circumference of the circle.
Give your answer in terms of πCircumference of a Circle▶ Show worked answerHide worked answer
- M1: π × 18
- A1: 18π
Answer: 18π[2 marks] - 2
Question 2. A jar holds red beads, green beads and yellow beads.
number of red beads : number of green beads : number of yellow beads = 2 : 3 : 7
There are 45 more yellow beads than red beads.
Work out the number of green beads in the jar.Using Ratio Differences▶ Show worked answerHide worked answer
- M1: 45 ÷ (7 - 2) = 9
- A1: 27
Answer: 27[2 marks] - 3
Question 3. The table shows the delays, in minutes, of 20 trains.
Sam plots the first point of a frequency polygon at (10, 5).
Is Sam correct? Give a reason.Sketching Frequency Polygons▶ Show worked answerHide worked answer
- B1: No
- B1: should be at the class midpoint, (5, 5)
Answer: No. The point should be plotted at the midpoint of the class, (5, 5)[2 marks] - 4
Question 4. The Venn diagram shows information about 40 students.
A is the set of students who play football.
B is the set of students who play hockey.
C is the set of students who play netball.
A student is chosen at random.
Work out the probability that the student plays exactly two of these sports.
Write your answer as a fraction in its lowest terms.Finding Probabilities with Venn Diagrams▶ Show worked answerHide worked answer
- M1: dfrac2 + 4 + 340
- A1: dfrac940
Answer: dfrac940[2 marks] - 5
Question 5. The mass of one dust particle is 2.4 × 10⁻⁸ grams.
A sample contains 5 × 10⁴ of these particles.
Work out the total mass of the particles in the sample.
Give your answer in standard form.Multiplying & Dividing in Standard Form▶ Show worked answerHide worked answer
- M1: Multiplies the mass by the number of particles: 2.4 × 5 and -8 + 4
- M1: Writes 12 × 10⁻⁴ with the number in front between 1 and 10
- A1: 1.2 × 10⁻³ grams
Answer: 1.2 × 10⁻³ grams[3 marks]
Mixed Topic Worksheet Grades 4/5: Day 019
- 1
Question 1. A circle has a diameter of 18 cm.
[2 marks]
Work out the circumference of the circle.
Give your answer in terms of πCircumference of a Circle▶ Show worked answerHide worked answer
- M1: π × 18
- A1: 18π
Answer: 18π - 2
Question 2. A jar holds red beads, green beads and yellow beads.
[2 marks]
number of red beads : number of green beads : number of yellow beads = 2 : 3 : 7
There are 45 more yellow beads than red beads.
Work out the number of green beads in the jar.Using Ratio Differences▶ Show worked answerHide worked answer
- M1: 45 ÷ (7 - 2) = 9
- A1: 27
Answer: 27 - 3
Question 3. The table shows the delays, in minutes, of 20 trains.
[2 marks]
Sam plots the first point of a frequency polygon at (10, 5).
Is Sam correct? Give a reason.Sketching Frequency Polygons▶ Show worked answerHide worked answer
- B1: No
- B1: should be at the class midpoint, (5, 5)
Answer: No. The point should be plotted at the midpoint of the class, (5, 5) - 4
Question 4. The Venn diagram shows information about 40 students.
[2 marks]
A is the set of students who play football.
B is the set of students who play hockey.
C is the set of students who play netball.
A student is chosen at random.
Work out the probability that the student plays exactly two of these sports.
Write your answer as a fraction in its lowest terms.Finding Probabilities with Venn Diagrams▶ Show worked answerHide worked answer
- M1: dfrac2 + 4 + 340
- A1: dfrac940
Answer: dfrac940 - 5
Question 5. The mass of one dust particle is 2.4 × 10⁻⁸ grams.
[3 marks]
A sample contains 5 × 10⁴ of these particles.
Work out the total mass of the particles in the sample.
Give your answer in standard form.Multiplying & Dividing in Standard Form▶ Show worked answerHide worked answer
- M1: Multiplies the mass by the number of particles: 2.4 × 5 and -8 + 4
- M1: Writes 12 × 10⁻⁴ with the number in front between 1 and 10
- A1: 1.2 × 10⁻³ grams
Answer: 1.2 × 10⁻³ grams
Mixed Topic Worksheet Grades 4/5: Day 019
- 1
Question 1. A circle has a diameter of 18 cm.
Work out the circumference of the circle.
Give your answer in terms of πCircumference of a Circle▶ Show worked answerHide worked answer
- M1: π × 18
- A1: 18π
Answer: 18π[2 marks] - 2
Question 2. A jar holds red beads, green beads and yellow beads.
number of red beads : number of green beads : number of yellow beads = 2 : 3 : 7
There are 45 more yellow beads than red beads.
Work out the number of green beads in the jar.Using Ratio Differences▶ Show worked answerHide worked answer
- M1: 45 ÷ (7 - 2) = 9
- A1: 27
Answer: 27[2 marks] - 3
Question 3. The table shows the delays, in minutes, of 20 trains.
Sam plots the first point of a frequency polygon at (10, 5).
Is Sam correct? Give a reason.Sketching Frequency Polygons▶ Show worked answerHide worked answer
- B1: No
- B1: should be at the class midpoint, (5, 5)
Answer: No. The point should be plotted at the midpoint of the class, (5, 5)[2 marks] - 4
Question 4. The Venn diagram shows information about 40 students.
A is the set of students who play football.
B is the set of students who play hockey.
C is the set of students who play netball.
A student is chosen at random.
Work out the probability that the student plays exactly two of these sports.
Write your answer as a fraction in its lowest terms.Finding Probabilities with Venn Diagrams▶ Show worked answerHide worked answer
- M1: dfrac2 + 4 + 340
- A1: dfrac940
Answer: dfrac940[2 marks] - 5
Question 5. The mass of one dust particle is 2.4 × 10⁻⁸ grams.
A sample contains 5 × 10⁴ of these particles.
Work out the total mass of the particles in the sample.
Give your answer in standard form.Multiplying & Dividing in Standard Form▶ Show worked answerHide worked answer
- M1: Multiplies the mass by the number of particles: 2.4 × 5 and -8 + 4
- M1: Writes 12 × 10⁻⁴ with the number in front between 1 and 10
- A1: 1.2 × 10⁻³ grams
Answer: 1.2 × 10⁻³ grams[3 marks]