Mixed Topic Worksheet Grades 4/5: Day 085
- 1
Question 1. Write dfrac198 as a decimal.
Converting Improper Fractions to Decimals▶ Show worked answerHide worked answer
- M1: dfrac198 = 2dfrac38 or 19 ÷ 8
- A1: 2.375
Answer: 2.375[2 marks] - 2
Question 2. The point (k, 8) lies on the line y = 3x - 4.
Work out the value of k.Identifying If a Point Is on a Line▶ Show worked answerHide worked answer
- M1: 8 = 3k - 4
- A1: 4
Answer: 4[2 marks] - 3
Question 3. A train takes 2 hours 30 minutes for a journey at an average speed of 84 mph.
Work out the average speed needed to complete the same journey in 2 hours.Inverse Proportion Problems▶ Show worked answerHide worked answer
- M1: 84 × 2.5 (distance in miles)
- A1: 105 mph
Answer: 105 mph[2 marks] - 4
Question 4. A solid is made from a cube of side 6 cm with a square-based pyramid on top.
The base of the pyramid is the top face of the cube.
Each triangular face of the pyramid has a perpendicular height of 5 cm.
Work out the total surface area of the solid.Surface Area of Composite Shapes▶ Show worked answerHide worked answer
- M1: five faces of the cube: 5 × 6² = 180
- M1: four triangles: 4 × 1/2 × 6 × 5 = 60
- A1: 240 cm²
Answer: 240 cm²[3 marks] - 5
Question 5. Here is triangle ABC.
Ali says BC = 10 cm.
Is Ali correct?
You must show your working.SOH, CAH, TOA with Exact Trig Values▶ Show worked answerHide worked answer
- M1: BC = 20 × sin 45^°
- A1: 10√2
- C1: 10√2 is not 10, so Ali is not correct
Answer: No, BC = 10√2 cm[3 marks]
Mixed Topic Worksheet Grades 4/5: Day 085
- 1
Question 1. Write dfrac198 as a decimal.
[2 marks]Converting Improper Fractions to Decimals▶ Show worked answerHide worked answer
- M1: dfrac198 = 2dfrac38 or 19 ÷ 8
- A1: 2.375
Answer: 2.375 - 2
Question 2. The point (k, 8) lies on the line y = 3x - 4.
[2 marks]
Work out the value of k.Identifying If a Point Is on a Line▶ Show worked answerHide worked answer
- M1: 8 = 3k - 4
- A1: 4
Answer: 4 - 3
Question 3. A train takes 2 hours 30 minutes for a journey at an average speed of 84 mph.
[2 marks]
Work out the average speed needed to complete the same journey in 2 hours.Inverse Proportion Problems▶ Show worked answerHide worked answer
- M1: 84 × 2.5 (distance in miles)
- A1: 105 mph
Answer: 105 mph - 4
Question 4. A solid is made from a cube of side 6 cm with a square-based pyramid on top.
[3 marks]
The base of the pyramid is the top face of the cube.
Each triangular face of the pyramid has a perpendicular height of 5 cm.
Work out the total surface area of the solid.Surface Area of Composite Shapes▶ Show worked answerHide worked answer
- M1: five faces of the cube: 5 × 6² = 180
- M1: four triangles: 4 × 1/2 × 6 × 5 = 60
- A1: 240 cm²
Answer: 240 cm² - 5
Question 5. Here is triangle ABC.
[3 marks]
Ali says BC = 10 cm.
Is Ali correct?
You must show your working.SOH, CAH, TOA with Exact Trig Values▶ Show worked answerHide worked answer
- M1: BC = 20 × sin 45^°
- A1: 10√2
- C1: 10√2 is not 10, so Ali is not correct
Answer: No, BC = 10√2 cm
Mixed Topic Worksheet Grades 4/5: Day 085
- 1
Question 1. Write dfrac198 as a decimal.
Converting Improper Fractions to Decimals▶ Show worked answerHide worked answer
- M1: dfrac198 = 2dfrac38 or 19 ÷ 8
- A1: 2.375
Answer: 2.375[2 marks] - 2
Question 2. The point (k, 8) lies on the line y = 3x - 4.
Work out the value of k.Identifying If a Point Is on a Line▶ Show worked answerHide worked answer
- M1: 8 = 3k - 4
- A1: 4
Answer: 4[2 marks] - 3
Question 3. A train takes 2 hours 30 minutes for a journey at an average speed of 84 mph.
Work out the average speed needed to complete the same journey in 2 hours.Inverse Proportion Problems▶ Show worked answerHide worked answer
- M1: 84 × 2.5 (distance in miles)
- A1: 105 mph
Answer: 105 mph[2 marks] - 4
Question 4. A solid is made from a cube of side 6 cm with a square-based pyramid on top.
The base of the pyramid is the top face of the cube.
Each triangular face of the pyramid has a perpendicular height of 5 cm.
Work out the total surface area of the solid.Surface Area of Composite Shapes▶ Show worked answerHide worked answer
- M1: five faces of the cube: 5 × 6² = 180
- M1: four triangles: 4 × 1/2 × 6 × 5 = 60
- A1: 240 cm²
Answer: 240 cm²[3 marks] - 5
Question 5. Here is triangle ABC.
Ali says BC = 10 cm.
Is Ali correct?
You must show your working.SOH, CAH, TOA with Exact Trig Values▶ Show worked answerHide worked answer
- M1: BC = 20 × sin 45^°
- A1: 10√2
- C1: 10√2 is not 10, so Ali is not correct
Answer: No, BC = 10√2 cm[3 marks]