Mixed Topic Worksheet Grades 4/5: Day 034
- 1
Question 1. A pizza is cut into 12 equal slices. Jo eats dfrac14 of the pizza. Sam eats dfrac13 of the pizza.
Work out the number of slices that are left.Finding Fractions of Shapes▶ Show worked answerHide worked answer
- M1: 12 ÷ 4 = 3 slices Jo eats
- M1: 12 ÷ 3 = 4 slices Sam eats
- A1: 12 - 3 - 4 = 5
Answer: 5[3 marks] - 2
Question 2. The table shows the scores of 20 players in a game. The mean score is 2.7. Work out the value of x.
Mean, Mode, Median & Range from an Ungrouped Frequency Table▶ Show worked answerHide worked answer
- M1: 2.7 × 20
- M1: 54 - (1 × 6 + 2 × 6 + 3 × 4) then divides by 4
- A1: 6
Answer: 6[3 marks] - 3
Question 3. A photograph is 6 cm by 4 cm.
It is enlarged by scale factor 5.
Work out the area of the enlarged photograph.Enlargements with Positive Integer Scale Factors▶ Show worked answerHide worked answer
- M1: enlarged sides 6 × 5 = 30 and 4 × 5 = 20
- A1: 30 × 20 = 600 cm²
Answer: 600 cm²[2 marks] - 4
Question 4. Work out the value of x.
Give your answer to 1 decimal place.Finding Side Lengths Using SOH, CAH, TOA▶ Show worked answerHide worked answer
- M1: x = 8.5 × cos 52°
- A1: 5.2
Answer: 5.2 cm[2 marks] - 5
Question 5. Here is a sphere. Work out the volume of the sphere.
Give your answer to 1 decimal place.Volume of Spheres▶ Show worked answerHide worked answer
- M1: 4/3 × π × 5³
- A1: 523.6
Answer: 523.6[2 marks]
Mixed Topic Worksheet Grades 4/5: Day 034
- 1
Question 1. A pizza is cut into 12 equal slices. Jo eats dfrac14 of the pizza. Sam eats dfrac13 of the pizza.
[3 marks]
Work out the number of slices that are left.Finding Fractions of Shapes▶ Show worked answerHide worked answer
- M1: 12 ÷ 4 = 3 slices Jo eats
- M1: 12 ÷ 3 = 4 slices Sam eats
- A1: 12 - 3 - 4 = 5
Answer: 5 - 2
Question 2. The table shows the scores of 20 players in a game. The mean score is 2.7. Work out the value of x.
[3 marks]Mean, Mode, Median & Range from an Ungrouped Frequency Table▶ Show worked answerHide worked answer
- M1: 2.7 × 20
- M1: 54 - (1 × 6 + 2 × 6 + 3 × 4) then divides by 4
- A1: 6
Answer: 6 - 3
Question 3. A photograph is 6 cm by 4 cm.
[2 marks]
It is enlarged by scale factor 5.
Work out the area of the enlarged photograph.Enlargements with Positive Integer Scale Factors▶ Show worked answerHide worked answer
- M1: enlarged sides 6 × 5 = 30 and 4 × 5 = 20
- A1: 30 × 20 = 600 cm²
Answer: 600 cm² - 4
Question 4. Work out the value of x.
[2 marks]
Give your answer to 1 decimal place.Finding Side Lengths Using SOH, CAH, TOA▶ Show worked answerHide worked answer
- M1: x = 8.5 × cos 52°
- A1: 5.2
Answer: 5.2 cm - 5
Question 5. Here is a sphere. Work out the volume of the sphere.
[2 marks]
Give your answer to 1 decimal place.Volume of Spheres▶ Show worked answerHide worked answer
- M1: 4/3 × π × 5³
- A1: 523.6
Answer: 523.6
Mixed Topic Worksheet Grades 4/5: Day 034
- 1
Question 1. A pizza is cut into 12 equal slices. Jo eats dfrac14 of the pizza. Sam eats dfrac13 of the pizza.
Work out the number of slices that are left.Finding Fractions of Shapes▶ Show worked answerHide worked answer
- M1: 12 ÷ 4 = 3 slices Jo eats
- M1: 12 ÷ 3 = 4 slices Sam eats
- A1: 12 - 3 - 4 = 5
Answer: 5[3 marks] - 2
Question 2. The table shows the scores of 20 players in a game. The mean score is 2.7. Work out the value of x.
Mean, Mode, Median & Range from an Ungrouped Frequency Table▶ Show worked answerHide worked answer
- M1: 2.7 × 20
- M1: 54 - (1 × 6 + 2 × 6 + 3 × 4) then divides by 4
- A1: 6
Answer: 6[3 marks] - 3
Question 3. A photograph is 6 cm by 4 cm.
It is enlarged by scale factor 5.
Work out the area of the enlarged photograph.Enlargements with Positive Integer Scale Factors▶ Show worked answerHide worked answer
- M1: enlarged sides 6 × 5 = 30 and 4 × 5 = 20
- A1: 30 × 20 = 600 cm²
Answer: 600 cm²[2 marks] - 4
Question 4. Work out the value of x.
Give your answer to 1 decimal place.Finding Side Lengths Using SOH, CAH, TOA▶ Show worked answerHide worked answer
- M1: x = 8.5 × cos 52°
- A1: 5.2
Answer: 5.2 cm[2 marks] - 5
Question 5. Here is a sphere. Work out the volume of the sphere.
Give your answer to 1 decimal place.Volume of Spheres▶ Show worked answerHide worked answer
- M1: 4/3 × π × 5³
- A1: 523.6
Answer: 523.6[2 marks]