Mixed Topic Worksheet Grades 4/5: Day 055
- 1
Question 1. A square patio is made from 225 identical square slabs.
How many slabs are there along one side of the patio?Square, Cube & Prime Numbers▶ Show worked answerHide worked answer
- M1: √225
- A1: 15
Answer: 15[2 marks] - 2
Question 2. Change 450 mm² to cm².
Area Conversions▶ Show worked answerHide worked answer
- M1: 450 ÷ (10 × 10)
- A1: 4.5
Answer: 4.5 cm²[2 marks] - 3
Question 3. Here is a prism with a right-angled triangle as its cross-section. Work out the volume of the prism.
Volume of Prisms▶ Show worked answerHide worked answer
- M1: ½ × 12 × 5 = 30
- M1: 30 × 4
- A1: 120
Answer: 120[3 marks] - 4
Question 4. 2cosθ = 1
θ is an acute angle.
Work out the value of θ.Hand Method for Exact Trig Values▶ Show worked answerHide worked answer
- M1: cosθ = dfrac12
- A1: 60
Answer: 60[2 marks] - 5
Question 5. Shape A is drawn on the grid.
Enlarge shape A by scale factor dfrac12 with centre of enlargement (0, 0).
Label the image B.Enlargements with Positive Fractional Scale Factors▶ Show worked answerHide worked answer
- B2: image B drawn with vertices (2, 1), (4, 1), (2, 3) (one mark for the correct shape with the wrong size, or for two correct vertices)
Answer: Image B has vertices (2, 1), (4, 1), (2, 3)[2 marks]
Mixed Topic Worksheet Grades 4/5: Day 055
- 1
Question 1. A square patio is made from 225 identical square slabs.
[2 marks]
How many slabs are there along one side of the patio?Square, Cube & Prime Numbers▶ Show worked answerHide worked answer
- M1: √225
- A1: 15
Answer: 15 - 2
Question 2. Change 450 mm² to cm².
[2 marks]Area Conversions▶ Show worked answerHide worked answer
- M1: 450 ÷ (10 × 10)
- A1: 4.5
Answer: 4.5 cm² - 3
Question 3. Here is a prism with a right-angled triangle as its cross-section. Work out the volume of the prism.
[3 marks]Volume of Prisms▶ Show worked answerHide worked answer
- M1: ½ × 12 × 5 = 30
- M1: 30 × 4
- A1: 120
Answer: 120 - 4
Question 4. 2cosθ = 1
[2 marks]
θ is an acute angle.
Work out the value of θ.Hand Method for Exact Trig Values▶ Show worked answerHide worked answer
- M1: cosθ = dfrac12
- A1: 60
Answer: 60 - 5
Question 5. Shape A is drawn on the grid.
[2 marks]
Enlarge shape A by scale factor dfrac12 with centre of enlargement (0, 0).
Label the image B.Enlargements with Positive Fractional Scale Factors▶ Show worked answerHide worked answer
- B2: image B drawn with vertices (2, 1), (4, 1), (2, 3) (one mark for the correct shape with the wrong size, or for two correct vertices)
Answer: Image B has vertices (2, 1), (4, 1), (2, 3)
Mixed Topic Worksheet Grades 4/5: Day 055
- 1
Question 1. A square patio is made from 225 identical square slabs.
How many slabs are there along one side of the patio?Square, Cube & Prime Numbers▶ Show worked answerHide worked answer
- M1: √225
- A1: 15
Answer: 15[2 marks] - 2
Question 2. Change 450 mm² to cm².
Area Conversions▶ Show worked answerHide worked answer
- M1: 450 ÷ (10 × 10)
- A1: 4.5
Answer: 4.5 cm²[2 marks] - 3
Question 3. Here is a prism with a right-angled triangle as its cross-section. Work out the volume of the prism.
Volume of Prisms▶ Show worked answerHide worked answer
- M1: ½ × 12 × 5 = 30
- M1: 30 × 4
- A1: 120
Answer: 120[3 marks] - 4
Question 4. 2cosθ = 1
θ is an acute angle.
Work out the value of θ.Hand Method for Exact Trig Values▶ Show worked answerHide worked answer
- M1: cosθ = dfrac12
- A1: 60
Answer: 60[2 marks] - 5
Question 5. Shape A is drawn on the grid.
Enlarge shape A by scale factor dfrac12 with centre of enlargement (0, 0).
Label the image B.Enlargements with Positive Fractional Scale Factors▶ Show worked answerHide worked answer
- B2: image B drawn with vertices (2, 1), (4, 1), (2, 3) (one mark for the correct shape with the wrong size, or for two correct vertices)
Answer: Image B has vertices (2, 1), (4, 1), (2, 3)[2 marks]