Mixed Topic Worksheet Grades 1/2/3: Day 053
- 1
Question 1. The lines PQ and PR meet at P.
Write down another name for angle QPR.Angle Notation▶ Show worked answerHide worked answer
- B1: RPQ, with the letter P in the middle
Answer: angle RPQ[1 mark] - 2
Question 2. Write down the size of one angle of an equilateral triangle.
Triangle Angle & Side Facts▶ Show worked answerHide worked answer
- B1: 60 (three equal angles that add up to 180^°)
Answer: 60°[1 mark] - 3
Question 3. Jo simplifies dfrac2460.
dfrac2460 = dfrac1230 = dfrac615
Jo says the answer is dfrac615
Is Jo correct? Give a reason for your answer.Simplifying Fractions▶ Show worked answerHide worked answer
- M1: divides the numerator and the denominator of dfrac615 by 3 to get dfrac25
- A1: No, because dfrac615 = dfrac25
Answer: No. dfrac615 = dfrac25, so Jo's answer can be simplified again[2 marks] - 4
Question 4. Ivy invests £500 for 3 years in an account that pays simple interest.
She earns £60 interest in total.
Work out the interest rate per year.Simple Interest▶ Show worked answerHide worked answer
- M1: 60 ÷ 3 = 20
- M1: 20 ÷ 500 × 100
- A1: 4%
Answer: 4%[3 marks] - 5
Question 5. Solve 5x < 3x + 7. Write down the positive integers that satisfy it. [3]
Fundamentals of Inequalities▶ Show worked answerHide worked answer
- M1: 2x < 7
- A1: x < 3.5
- B1: 1, 2, 3
Answer: x < 3.5; the positive integers are 1, 2, 3[3 marks]
Mixed Topic Worksheet Grades 1/2/3: Day 053
- 1
Question 1. The lines PQ and PR meet at P.
[1 mark]
Write down another name for angle QPR.Angle Notation▶ Show worked answerHide worked answer
- B1: RPQ, with the letter P in the middle
Answer: angle RPQ - 2
Question 2. Write down the size of one angle of an equilateral triangle.
[1 mark]Triangle Angle & Side Facts▶ Show worked answerHide worked answer
- B1: 60 (three equal angles that add up to 180^°)
Answer: 60° - 3
Question 3. Jo simplifies dfrac2460.
[2 marks]
dfrac2460 = dfrac1230 = dfrac615
Jo says the answer is dfrac615
Is Jo correct? Give a reason for your answer.Simplifying Fractions▶ Show worked answerHide worked answer
- M1: divides the numerator and the denominator of dfrac615 by 3 to get dfrac25
- A1: No, because dfrac615 = dfrac25
Answer: No. dfrac615 = dfrac25, so Jo's answer can be simplified again - 4
Question 4. Ivy invests £500 for 3 years in an account that pays simple interest.
[3 marks]
She earns £60 interest in total.
Work out the interest rate per year.Simple Interest▶ Show worked answerHide worked answer
- M1: 60 ÷ 3 = 20
- M1: 20 ÷ 500 × 100
- A1: 4%
Answer: 4% - 5
Question 5. Solve 5x < 3x + 7. Write down the positive integers that satisfy it. [3]
[3 marks]Fundamentals of Inequalities▶ Show worked answerHide worked answer
- M1: 2x < 7
- A1: x < 3.5
- B1: 1, 2, 3
Answer: x < 3.5; the positive integers are 1, 2, 3
Mixed Topic Worksheet Grades 1/2/3: Day 053
- 1
Question 1. The lines PQ and PR meet at P.
Write down another name for angle QPR.Angle Notation▶ Show worked answerHide worked answer
- B1: RPQ, with the letter P in the middle
Answer: angle RPQ[1 mark] - 2
Question 2. Write down the size of one angle of an equilateral triangle.
Triangle Angle & Side Facts▶ Show worked answerHide worked answer
- B1: 60 (three equal angles that add up to 180^°)
Answer: 60°[1 mark] - 3
Question 3. Jo simplifies dfrac2460.
dfrac2460 = dfrac1230 = dfrac615
Jo says the answer is dfrac615
Is Jo correct? Give a reason for your answer.Simplifying Fractions▶ Show worked answerHide worked answer
- M1: divides the numerator and the denominator of dfrac615 by 3 to get dfrac25
- A1: No, because dfrac615 = dfrac25
Answer: No. dfrac615 = dfrac25, so Jo's answer can be simplified again[2 marks] - 4
Question 4. Ivy invests £500 for 3 years in an account that pays simple interest.
She earns £60 interest in total.
Work out the interest rate per year.Simple Interest▶ Show worked answerHide worked answer
- M1: 60 ÷ 3 = 20
- M1: 20 ÷ 500 × 100
- A1: 4%
Answer: 4%[3 marks] - 5
Question 5. Solve 5x < 3x + 7. Write down the positive integers that satisfy it. [3]
Fundamentals of Inequalities▶ Show worked answerHide worked answer
- M1: 2x < 7
- A1: x < 3.5
- B1: 1, 2, 3
Answer: x < 3.5; the positive integers are 1, 2, 3[3 marks]