Mixed Topic Worksheet Grades 4/5: Day 077
- 1
Question 1. A ribbon is 9.6 m long.
The ribbon is cut into pieces.
Each piece is 0.8 m long.
Work out the number of pieces.Dividing Decimals▶ Show worked answerHide worked answer
- M1: 96 ÷ 8 (both numbers multiplied by 10)
- A1: 12
Answer: 12[2 marks] - 2
Question 2. Change 3.5 litres to cm³.
Volume Conversions▶ Show worked answerHide worked answer
- M1: 3.5 × 1000
- A1: 3500
Answer: 3500 cm³[2 marks] - 3
Question 3. The table shows the classes and frequencies. Write down the coordinates of the two points plotted for a frequency polygon.
Sketching Frequency Polygons▶ Show worked answerHide worked answer
- B1: midpoints 5 and 15
- B1: (5, 6) and (15, 9)
Answer: (5, 6) and (15, 9)[2 marks] - 4
Question 4. Here is a prism. The cross-section is a U shape.
The slot is 4 cm wide and 3 cm deep.
Work out the volume of the prism.Volume of Composite Shapes▶ Show worked answerHide worked answer
- M1: 10 × 6 = 60 and 4 × 3 = 12
- M1: (60 - 12) × 4
- A1: 192
Answer: 192[3 marks] - 5
Question 5. Prove that (x + 3)(x + 4) - 12 = x(x + 7)
Proving Equivalence▶ Show worked answerHide worked answer
- M1: x² + 4x + 3x + 12 - 12
- M1: x² + 7x from collecting like terms
- C1: x(x + 7) is x² + 7x, so the two sides are equal
Answer: x² + 7x = x(x + 7)[3 marks]
Mixed Topic Worksheet Grades 4/5: Day 077
- 1
Question 1. A ribbon is 9.6 m long.
[2 marks]
The ribbon is cut into pieces.
Each piece is 0.8 m long.
Work out the number of pieces.Dividing Decimals▶ Show worked answerHide worked answer
- M1: 96 ÷ 8 (both numbers multiplied by 10)
- A1: 12
Answer: 12 - 2
Question 2. Change 3.5 litres to cm³.
[2 marks]Volume Conversions▶ Show worked answerHide worked answer
- M1: 3.5 × 1000
- A1: 3500
Answer: 3500 cm³ - 3
Question 3. The table shows the classes and frequencies. Write down the coordinates of the two points plotted for a frequency polygon.
[2 marks]Sketching Frequency Polygons▶ Show worked answerHide worked answer
- B1: midpoints 5 and 15
- B1: (5, 6) and (15, 9)
Answer: (5, 6) and (15, 9) - 4
Question 4. Here is a prism. The cross-section is a U shape.
[3 marks]
The slot is 4 cm wide and 3 cm deep.
Work out the volume of the prism.Volume of Composite Shapes▶ Show worked answerHide worked answer
- M1: 10 × 6 = 60 and 4 × 3 = 12
- M1: (60 - 12) × 4
- A1: 192
Answer: 192 - 5
Question 5. Prove that (x + 3)(x + 4) - 12 = x(x + 7)
[3 marks]Proving Equivalence▶ Show worked answerHide worked answer
- M1: x² + 4x + 3x + 12 - 12
- M1: x² + 7x from collecting like terms
- C1: x(x + 7) is x² + 7x, so the two sides are equal
Answer: x² + 7x = x(x + 7)
Mixed Topic Worksheet Grades 4/5: Day 077
- 1
Question 1. A ribbon is 9.6 m long.
The ribbon is cut into pieces.
Each piece is 0.8 m long.
Work out the number of pieces.Dividing Decimals▶ Show worked answerHide worked answer
- M1: 96 ÷ 8 (both numbers multiplied by 10)
- A1: 12
Answer: 12[2 marks] - 2
Question 2. Change 3.5 litres to cm³.
Volume Conversions▶ Show worked answerHide worked answer
- M1: 3.5 × 1000
- A1: 3500
Answer: 3500 cm³[2 marks] - 3
Question 3. The table shows the classes and frequencies. Write down the coordinates of the two points plotted for a frequency polygon.
Sketching Frequency Polygons▶ Show worked answerHide worked answer
- B1: midpoints 5 and 15
- B1: (5, 6) and (15, 9)
Answer: (5, 6) and (15, 9)[2 marks] - 4
Question 4. Here is a prism. The cross-section is a U shape.
The slot is 4 cm wide and 3 cm deep.
Work out the volume of the prism.Volume of Composite Shapes▶ Show worked answerHide worked answer
- M1: 10 × 6 = 60 and 4 × 3 = 12
- M1: (60 - 12) × 4
- A1: 192
Answer: 192[3 marks] - 5
Question 5. Prove that (x + 3)(x + 4) - 12 = x(x + 7)
Proving Equivalence▶ Show worked answerHide worked answer
- M1: x² + 4x + 3x + 12 - 12
- M1: x² + 7x from collecting like terms
- C1: x(x + 7) is x² + 7x, so the two sides are equal
Answer: x² + 7x = x(x + 7)[3 marks]