Mixed Topic Worksheet Grades 4/5: Day 076
- 1
Question 1. Expand 4p(2p - 3)
Expanding Single Brackets▶ Show worked answerHide worked answer
- M1: 4p × 2p = 8p² or 4p × (-3) = -12p
- A1: 8p² - 12p
Answer: 8p² - 12p[2 marks] - 2
Question 2. A tray holds muffins and cookies.
number of muffins : number of cookies = 2 : 5
There are 12 fewer muffins than cookies.
Work out the total number of muffins and cookies on the tray.Using Ratio Differences▶ Show worked answerHide worked answer
- M1: 12 ÷ (5 - 2) = 4
- A1: 28
Answer: 28[2 marks] - 3
Question 3. Write these fractions in order, smallest first.
dfrac58, dfrac12, dfrac38Ordering Fractions▶ Show worked answerHide worked answer
- M1: dfrac12 = dfrac48
- A1: dfrac38, dfrac12, dfrac58
Answer: dfrac38, dfrac12, dfrac58[2 marks] - 4
Question 4. Work out the size of angle x.
Give your answer to 1 decimal place.Finding Angles Using SOH, CAH, TOA▶ Show worked answerHide worked answer
- M1: x = sin⁻¹(9.5/15)
- A1: 39.3
Answer: 39.3°[2 marks] - 5
Question 5. The total surface area of a solid hemisphere is 500 cm².
Work out the radius, r cm, of the hemisphere.
Give your answer to 1 decimal place.Surface Area of Spheres▶ Show worked answerHide worked answer
- M1: 2 × π × r² + π × r² = 500 (or 3π r² = 500)
- M1: r = √500 ÷ 3π
- A1: 7.3
Answer: 7.3 cm[3 marks]
Mixed Topic Worksheet Grades 4/5: Day 076
- 1
Question 1. Expand 4p(2p - 3)
[2 marks]Expanding Single Brackets▶ Show worked answerHide worked answer
- M1: 4p × 2p = 8p² or 4p × (-3) = -12p
- A1: 8p² - 12p
Answer: 8p² - 12p - 2
Question 2. A tray holds muffins and cookies.
[2 marks]
number of muffins : number of cookies = 2 : 5
There are 12 fewer muffins than cookies.
Work out the total number of muffins and cookies on the tray.Using Ratio Differences▶ Show worked answerHide worked answer
- M1: 12 ÷ (5 - 2) = 4
- A1: 28
Answer: 28 - 3
Question 3. Write these fractions in order, smallest first.
[2 marks]
dfrac58, dfrac12, dfrac38Ordering Fractions▶ Show worked answerHide worked answer
- M1: dfrac12 = dfrac48
- A1: dfrac38, dfrac12, dfrac58
Answer: dfrac38, dfrac12, dfrac58 - 4
Question 4. Work out the size of angle x.
[2 marks]
Give your answer to 1 decimal place.Finding Angles Using SOH, CAH, TOA▶ Show worked answerHide worked answer
- M1: x = sin⁻¹(9.5/15)
- A1: 39.3
Answer: 39.3° - 5
Question 5. The total surface area of a solid hemisphere is 500 cm².
[3 marks]
Work out the radius, r cm, of the hemisphere.
Give your answer to 1 decimal place.Surface Area of Spheres▶ Show worked answerHide worked answer
- M1: 2 × π × r² + π × r² = 500 (or 3π r² = 500)
- M1: r = √500 ÷ 3π
- A1: 7.3
Answer: 7.3 cm
Mixed Topic Worksheet Grades 4/5: Day 076
- 1
Question 1. Expand 4p(2p - 3)
Expanding Single Brackets▶ Show worked answerHide worked answer
- M1: 4p × 2p = 8p² or 4p × (-3) = -12p
- A1: 8p² - 12p
Answer: 8p² - 12p[2 marks] - 2
Question 2. A tray holds muffins and cookies.
number of muffins : number of cookies = 2 : 5
There are 12 fewer muffins than cookies.
Work out the total number of muffins and cookies on the tray.Using Ratio Differences▶ Show worked answerHide worked answer
- M1: 12 ÷ (5 - 2) = 4
- A1: 28
Answer: 28[2 marks] - 3
Question 3. Write these fractions in order, smallest first.
dfrac58, dfrac12, dfrac38Ordering Fractions▶ Show worked answerHide worked answer
- M1: dfrac12 = dfrac48
- A1: dfrac38, dfrac12, dfrac58
Answer: dfrac38, dfrac12, dfrac58[2 marks] - 4
Question 4. Work out the size of angle x.
Give your answer to 1 decimal place.Finding Angles Using SOH, CAH, TOA▶ Show worked answerHide worked answer
- M1: x = sin⁻¹(9.5/15)
- A1: 39.3
Answer: 39.3°[2 marks] - 5
Question 5. The total surface area of a solid hemisphere is 500 cm².
Work out the radius, r cm, of the hemisphere.
Give your answer to 1 decimal place.Surface Area of Spheres▶ Show worked answerHide worked answer
- M1: 2 × π × r² + π × r² = 500 (or 3π r² = 500)
- M1: r = √500 ÷ 3π
- A1: 7.3
Answer: 7.3 cm[3 marks]