Mixed Topic Worksheet Grades 4/5: Day 069
- 1
Question 1. A cuboid is 8 cm long, 4 cm wide and 3 cm high. It stands on its 8 cm by 4 cm face. Work out the area of its plan.
Sketching Projections▶ Show worked answerHide worked answer
- M1: plan is a rectangle 8 cm by 4 cm
- A1: 8 × 4 = 32
Answer: 32 cm²[2 marks] - 2
Question 2. Work out the value of 2x² when x = 5
BIDMAS with Algebra▶ Show worked answerHide worked answer
- M1: 5² = 25
- A1: 50
Answer: 50[2 marks] - 3
Question 3. The frequency tree shows information about 90 visitors to a museum.
(a) How many more adults than children visited the museum? [1]
(b) Work out the number of visitors who did not use an audio guide. [2]Fundamentals of Frequency Trees▶ Show worked answerHide worked answer
- (a) B1: 52 - 38 = 14
- (b) M1: 21 + 37
- (b) A1: 58
Answer: (a) 14; (b) 58[3 marks] - 4
Question 4. The graph of y = x² - 11x + 18 crosses the x-axis at two points. Work out the x-coordinates of these two points.
x-Intercepts of Quadratics▶ Show worked answerHide worked answer
- M1: (x - 2)(x - 9) = 0
- A1: x = 2 and x = 9
Answer: x = 2 and x = 9[2 marks] - 5
Question 5. Nia and Omar each factorise x² - 100y².
Nia's answer is (x - 10y)(x + 10y).
Omar's answer is (x - 100y)(x + y).
Who is correct?
Give a reason for your answer.Difference of Two Squares▶ Show worked answerHide worked answer
- M1: (x - 10y)(x + 10y) = x² + 10xy - 10xy - 100y²
- A1: Nia, because the terms in xy cancel
Answer: Nia is correct. Her brackets expand to x² - 100y², but Omar's expand to x² - 99xy - 100y².[2 marks]
Mixed Topic Worksheet Grades 4/5: Day 069
- 1
Question 1. A cuboid is 8 cm long, 4 cm wide and 3 cm high. It stands on its 8 cm by 4 cm face. Work out the area of its plan.
[2 marks]Sketching Projections▶ Show worked answerHide worked answer
- M1: plan is a rectangle 8 cm by 4 cm
- A1: 8 × 4 = 32
Answer: 32 cm² - 2
Question 2. Work out the value of 2x² when x = 5
[2 marks]BIDMAS with Algebra▶ Show worked answerHide worked answer
- M1: 5² = 25
- A1: 50
Answer: 50 - 3
Question 3. The frequency tree shows information about 90 visitors to a museum.
[3 marks]
(a) How many more adults than children visited the museum? [1]
(b) Work out the number of visitors who did not use an audio guide. [2]Fundamentals of Frequency Trees▶ Show worked answerHide worked answer
- (a) B1: 52 - 38 = 14
- (b) M1: 21 + 37
- (b) A1: 58
Answer: (a) 14; (b) 58 - 4
Question 4. The graph of y = x² - 11x + 18 crosses the x-axis at two points. Work out the x-coordinates of these two points.
[2 marks]x-Intercepts of Quadratics▶ Show worked answerHide worked answer
- M1: (x - 2)(x - 9) = 0
- A1: x = 2 and x = 9
Answer: x = 2 and x = 9 - 5
Question 5. Nia and Omar each factorise x² - 100y².
[2 marks]
Nia's answer is (x - 10y)(x + 10y).
Omar's answer is (x - 100y)(x + y).
Who is correct?
Give a reason for your answer.Difference of Two Squares▶ Show worked answerHide worked answer
- M1: (x - 10y)(x + 10y) = x² + 10xy - 10xy - 100y²
- A1: Nia, because the terms in xy cancel
Answer: Nia is correct. Her brackets expand to x² - 100y², but Omar's expand to x² - 99xy - 100y².
Mixed Topic Worksheet Grades 4/5: Day 069
- 1
Question 1. A cuboid is 8 cm long, 4 cm wide and 3 cm high. It stands on its 8 cm by 4 cm face. Work out the area of its plan.
Sketching Projections▶ Show worked answerHide worked answer
- M1: plan is a rectangle 8 cm by 4 cm
- A1: 8 × 4 = 32
Answer: 32 cm²[2 marks] - 2
Question 2. Work out the value of 2x² when x = 5
BIDMAS with Algebra▶ Show worked answerHide worked answer
- M1: 5² = 25
- A1: 50
Answer: 50[2 marks] - 3
Question 3. The frequency tree shows information about 90 visitors to a museum.
(a) How many more adults than children visited the museum? [1]
(b) Work out the number of visitors who did not use an audio guide. [2]Fundamentals of Frequency Trees▶ Show worked answerHide worked answer
- (a) B1: 52 - 38 = 14
- (b) M1: 21 + 37
- (b) A1: 58
Answer: (a) 14; (b) 58[3 marks] - 4
Question 4. The graph of y = x² - 11x + 18 crosses the x-axis at two points. Work out the x-coordinates of these two points.
x-Intercepts of Quadratics▶ Show worked answerHide worked answer
- M1: (x - 2)(x - 9) = 0
- A1: x = 2 and x = 9
Answer: x = 2 and x = 9[2 marks] - 5
Question 5. Nia and Omar each factorise x² - 100y².
Nia's answer is (x - 10y)(x + 10y).
Omar's answer is (x - 100y)(x + y).
Who is correct?
Give a reason for your answer.Difference of Two Squares▶ Show worked answerHide worked answer
- M1: (x - 10y)(x + 10y) = x² + 10xy - 10xy - 100y²
- A1: Nia, because the terms in xy cancel
Answer: Nia is correct. Her brackets expand to x² - 100y², but Omar's expand to x² - 99xy - 100y².[2 marks]