Mixed Topic Worksheet Grades 4/5: Day 097
- 1
Question 1. The diagram shows a regular octagon.
Work out the sum of the interior angles of the octagon.Internal Angles in a Regular Polygon▶ Show worked answerHide worked answer
- M1: (8 - 2) × 180 (the interior angles of a polygon with n sides add up to (n - 2) × 180^°)
- A1: 1080
Answer: 1080[2 marks] - 2
Question 2. Here are the first four terms of a sequence.
1 qquad 3 qquad 6 qquad 10 qquad ldots
Work out the next term of the sequence.Types of Sequences▶ Show worked answerHide worked answer
- M1: differences are 2, 3, 4 so the next difference is 5 (10 + 5)
- A1: 15
Answer: 15[2 marks] - 3
Question 3. Ben writes
90 = 2 × 5 × 9
Ben says this is 90 written as a product of its prime factors.
Is Ben correct?
You must give a reason for your answer.Prime Factors & Prime Factorisation▶ Show worked answerHide worked answer
- M1: states that 9 is not prime or that 9 = 3 × 3
- A1: No, with the correct product 2 × 3² × 5
Answer: No, because 9 is not a prime number (9 = 3 × 3, so 90 = 2 × 3 × 3 × 5)[2 marks] - 4
Question 4. A bag contains red, blue and green counters.
The probability of taking a red counter at random is dfrac25.
The probability of taking a blue counter at random is dfrac14.
One counter is taken at random.
Work out the probability that the counter is red or blue.And/Or Rules▶ Show worked answerHide worked answer
- M1: dfrac820 + dfrac520 or dfrac25 + dfrac14
- A1: dfrac1320
Answer: dfrac1320[2 marks] - 5
Question 5. Use the graphs of y = 2x + 3 and y = -x - 3 to solve the simultaneous equations.
Solving Linear Simultaneous Equations Graphically▶ Show worked answerHide worked answer
- M1: the lines cross at (-2, -1)
- A1: x = -2, y = -1
Answer: x = -2, y = -1[2 marks]
Mixed Topic Worksheet Grades 4/5: Day 097
- 1
Question 1. The diagram shows a regular octagon.
[2 marks]
Work out the sum of the interior angles of the octagon.Internal Angles in a Regular Polygon▶ Show worked answerHide worked answer
- M1: (8 - 2) × 180 (the interior angles of a polygon with n sides add up to (n - 2) × 180^°)
- A1: 1080
Answer: 1080 - 2
Question 2. Here are the first four terms of a sequence.
[2 marks]
1 qquad 3 qquad 6 qquad 10 qquad ldots
Work out the next term of the sequence.Types of Sequences▶ Show worked answerHide worked answer
- M1: differences are 2, 3, 4 so the next difference is 5 (10 + 5)
- A1: 15
Answer: 15 - 3
Question 3. Ben writes
[2 marks]
90 = 2 × 5 × 9
Ben says this is 90 written as a product of its prime factors.
Is Ben correct?
You must give a reason for your answer.Prime Factors & Prime Factorisation▶ Show worked answerHide worked answer
- M1: states that 9 is not prime or that 9 = 3 × 3
- A1: No, with the correct product 2 × 3² × 5
Answer: No, because 9 is not a prime number (9 = 3 × 3, so 90 = 2 × 3 × 3 × 5) - 4
Question 4. A bag contains red, blue and green counters.
[2 marks]
The probability of taking a red counter at random is dfrac25.
The probability of taking a blue counter at random is dfrac14.
One counter is taken at random.
Work out the probability that the counter is red or blue.And/Or Rules▶ Show worked answerHide worked answer
- M1: dfrac820 + dfrac520 or dfrac25 + dfrac14
- A1: dfrac1320
Answer: dfrac1320 - 5
Question 5. Use the graphs of y = 2x + 3 and y = -x - 3 to solve the simultaneous equations.
[2 marks]Solving Linear Simultaneous Equations Graphically▶ Show worked answerHide worked answer
- M1: the lines cross at (-2, -1)
- A1: x = -2, y = -1
Answer: x = -2, y = -1
Mixed Topic Worksheet Grades 4/5: Day 097
- 1
Question 1. The diagram shows a regular octagon.
Work out the sum of the interior angles of the octagon.Internal Angles in a Regular Polygon▶ Show worked answerHide worked answer
- M1: (8 - 2) × 180 (the interior angles of a polygon with n sides add up to (n - 2) × 180^°)
- A1: 1080
Answer: 1080[2 marks] - 2
Question 2. Here are the first four terms of a sequence.
1 qquad 3 qquad 6 qquad 10 qquad ldots
Work out the next term of the sequence.Types of Sequences▶ Show worked answerHide worked answer
- M1: differences are 2, 3, 4 so the next difference is 5 (10 + 5)
- A1: 15
Answer: 15[2 marks] - 3
Question 3. Ben writes
90 = 2 × 5 × 9
Ben says this is 90 written as a product of its prime factors.
Is Ben correct?
You must give a reason for your answer.Prime Factors & Prime Factorisation▶ Show worked answerHide worked answer
- M1: states that 9 is not prime or that 9 = 3 × 3
- A1: No, with the correct product 2 × 3² × 5
Answer: No, because 9 is not a prime number (9 = 3 × 3, so 90 = 2 × 3 × 3 × 5)[2 marks] - 4
Question 4. A bag contains red, blue and green counters.
The probability of taking a red counter at random is dfrac25.
The probability of taking a blue counter at random is dfrac14.
One counter is taken at random.
Work out the probability that the counter is red or blue.And/Or Rules▶ Show worked answerHide worked answer
- M1: dfrac820 + dfrac520 or dfrac25 + dfrac14
- A1: dfrac1320
Answer: dfrac1320[2 marks] - 5
Question 5. Use the graphs of y = 2x + 3 and y = -x - 3 to solve the simultaneous equations.
Solving Linear Simultaneous Equations Graphically▶ Show worked answerHide worked answer
- M1: the lines cross at (-2, -1)
- A1: x = -2, y = -1
Answer: x = -2, y = -1[2 marks]