Mixed Topic Worksheet Grades 4/5: Day 080
- 1
Question 1. In a bag the ratio of red counters to blue counters is 2 : 3
Work out the fraction of the counters that are red.Writing Ratios as Fractions▶ Show worked answerHide worked answer
- B1: dfrac25 oe
Answer: dfrac25[1 mark] - 2
Question 2. Expand and simplify (x + 7)²
Expanding Double Brackets▶ Show worked answerHide worked answer
- M1: x × x = x², x × 7 = 7x, 7 × x = 7x, 7 × 7 = 49
- A1: x² + 14x + 49
Answer: x² + 14x + 49[2 marks] - 3
Question 3. Write these fractions in order of size.
Start with the smallest fraction.
5/9 2/3 1/2 7/18Ordering Fractions▶ Show worked answerHide worked answer
- M1: writes the fractions with denominator 18: 10/18, 12/18, 9/18, 7/18
- A1: 7/18, 1/2, 5/9, 2/3
Answer: 7/18, 1/2, 5/9, 2/3[2 marks] - 4
Question 4. The table shows the masses of 30 suitcases. Work out an estimate for the mean mass.
Mean, Mode & Median from a Grouped Frequency Table▶ Show worked answerHide worked answer
- M1: 5 × 2 + 15 × 7 + 25 × 13 + 35 × 8 = 720
- M1: 720 ÷ 30
- A1: 24 kg
Answer: 24 kg[3 marks] - 5
Question 5. The diagram shows a circular pond surrounded by a path.
The pond has a diameter of 10 m.
The path has a width of 2 m.
Work out the area of the path.
Give your answer to 1 decimal place.Area of a Circle▶ Show worked answerHide worked answer
- M1: π × 7²
- M1: π × 5²
- A1: 75.4
Answer: 75.4 m²[3 marks]
Mixed Topic Worksheet Grades 4/5: Day 080
- 1
Question 1. In a bag the ratio of red counters to blue counters is 2 : 3
[1 mark]
Work out the fraction of the counters that are red.Writing Ratios as Fractions▶ Show worked answerHide worked answer
- B1: dfrac25 oe
Answer: dfrac25 - 2
Question 2. Expand and simplify (x + 7)²
[2 marks]Expanding Double Brackets▶ Show worked answerHide worked answer
- M1: x × x = x², x × 7 = 7x, 7 × x = 7x, 7 × 7 = 49
- A1: x² + 14x + 49
Answer: x² + 14x + 49 - 3
Question 3. Write these fractions in order of size.
[2 marks]
Start with the smallest fraction.
5/9 2/3 1/2 7/18Ordering Fractions▶ Show worked answerHide worked answer
- M1: writes the fractions with denominator 18: 10/18, 12/18, 9/18, 7/18
- A1: 7/18, 1/2, 5/9, 2/3
Answer: 7/18, 1/2, 5/9, 2/3 - 4
Question 4. The table shows the masses of 30 suitcases. Work out an estimate for the mean mass.
[3 marks]Mean, Mode & Median from a Grouped Frequency Table▶ Show worked answerHide worked answer
- M1: 5 × 2 + 15 × 7 + 25 × 13 + 35 × 8 = 720
- M1: 720 ÷ 30
- A1: 24 kg
Answer: 24 kg - 5
Question 5. The diagram shows a circular pond surrounded by a path.
[3 marks]
The pond has a diameter of 10 m.
The path has a width of 2 m.
Work out the area of the path.
Give your answer to 1 decimal place.Area of a Circle▶ Show worked answerHide worked answer
- M1: π × 7²
- M1: π × 5²
- A1: 75.4
Answer: 75.4 m²
Mixed Topic Worksheet Grades 4/5: Day 080
- 1
Question 1. In a bag the ratio of red counters to blue counters is 2 : 3
Work out the fraction of the counters that are red.Writing Ratios as Fractions▶ Show worked answerHide worked answer
- B1: dfrac25 oe
Answer: dfrac25[1 mark] - 2
Question 2. Expand and simplify (x + 7)²
Expanding Double Brackets▶ Show worked answerHide worked answer
- M1: x × x = x², x × 7 = 7x, 7 × x = 7x, 7 × 7 = 49
- A1: x² + 14x + 49
Answer: x² + 14x + 49[2 marks] - 3
Question 3. Write these fractions in order of size.
Start with the smallest fraction.
5/9 2/3 1/2 7/18Ordering Fractions▶ Show worked answerHide worked answer
- M1: writes the fractions with denominator 18: 10/18, 12/18, 9/18, 7/18
- A1: 7/18, 1/2, 5/9, 2/3
Answer: 7/18, 1/2, 5/9, 2/3[2 marks] - 4
Question 4. The table shows the masses of 30 suitcases. Work out an estimate for the mean mass.
Mean, Mode & Median from a Grouped Frequency Table▶ Show worked answerHide worked answer
- M1: 5 × 2 + 15 × 7 + 25 × 13 + 35 × 8 = 720
- M1: 720 ÷ 30
- A1: 24 kg
Answer: 24 kg[3 marks] - 5
Question 5. The diagram shows a circular pond surrounded by a path.
The pond has a diameter of 10 m.
The path has a width of 2 m.
Work out the area of the path.
Give your answer to 1 decimal place.Area of a Circle▶ Show worked answerHide worked answer
- M1: π × 7²
- M1: π × 5²
- A1: 75.4
Answer: 75.4 m²[3 marks]