Mixed Topic Worksheet Grades 4/5: Day 047
- 1
Question 1. In the diagram, AB is parallel to CD.
(a) Work out the size of the angle marked x. [1]
(b) State the reason for your answer to part (a) [1]Co-Interior Angles▶ Show worked answerHide worked answer
- (a) B1: 112
- (b) B1: co-interior angles add up to 180° (the lines are parallel)
Answer: (a) 112°; (b) Co-interior angles add up to 180°[2 marks] - 2
Question 2. Tom flips a coin 10 times. It lands on heads 7 times.
Tom says, "The relative frequency of heads is 0.7, so the coin is not fair."
Is Tom correct? You must give a reason for your answer.Relative Frequency Graphs▶ Show worked answerHide worked answer
- B1: No
- B1: only 10 flips, too few to decide, so more flips are needed
Answer: No. 10 flips is too few to tell, so he needs many more flips[2 marks] - 3
Question 3. Sophie has run dfrac512 of a race.
She runs further and has then run dfrac34 of the race.
Work out the fraction of the race that she runs in the further part.
Give your answer as a fraction in its simplest form.Subtracting Fractions▶ Show worked answerHide worked answer
- M1: dfrac34=dfrac912
- M1: 9 - 5 = 4
- A1: dfrac13
Answer: dfrac13[3 marks] - 4
Question 4. Ravi flips two fair coins.
Ravi says, "The probability of getting two heads is dfrac12 + dfrac12 = 1."
Is Ravi correct?
Give a reason for your answer.And/Or Rules▶ Show worked answerHide worked answer
- M1: dfrac12 × dfrac12
- A1: No, with the probability of two heads as dfrac14
Answer: No. The probability of two heads is 1/2 × 1/2 = 1/4, not 1.[2 marks] - 5
Question 5. Here are the graphs of y = 2x - 2 and y = 10 - 2x. Jo says the solution of the simultaneous equations is x = 1 and x = 5. Is Jo correct? Give a reason.
Solving Linear Simultaneous Equations Graphically▶ Show worked answerHide worked answer
- M1: the solution is where the lines cross, (3, 4)
- A1: No, x = 3 and y = 4
Answer: No, the lines cross at x = 3, y = 4[2 marks]
Mixed Topic Worksheet Grades 4/5: Day 047
- 1
Question 1. In the diagram, AB is parallel to CD.
[2 marks]
(a) Work out the size of the angle marked x. [1]
(b) State the reason for your answer to part (a) [1]Co-Interior Angles▶ Show worked answerHide worked answer
- (a) B1: 112
- (b) B1: co-interior angles add up to 180° (the lines are parallel)
Answer: (a) 112°; (b) Co-interior angles add up to 180° - 2
Question 2. Tom flips a coin 10 times. It lands on heads 7 times.
[2 marks]
Tom says, "The relative frequency of heads is 0.7, so the coin is not fair."
Is Tom correct? You must give a reason for your answer.Relative Frequency Graphs▶ Show worked answerHide worked answer
- B1: No
- B1: only 10 flips, too few to decide, so more flips are needed
Answer: No. 10 flips is too few to tell, so he needs many more flips - 3
Question 3. Sophie has run dfrac512 of a race.
[3 marks]
She runs further and has then run dfrac34 of the race.
Work out the fraction of the race that she runs in the further part.
Give your answer as a fraction in its simplest form.Subtracting Fractions▶ Show worked answerHide worked answer
- M1: dfrac34=dfrac912
- M1: 9 - 5 = 4
- A1: dfrac13
Answer: dfrac13 - 4
Question 4. Ravi flips two fair coins.
[2 marks]
Ravi says, "The probability of getting two heads is dfrac12 + dfrac12 = 1."
Is Ravi correct?
Give a reason for your answer.And/Or Rules▶ Show worked answerHide worked answer
- M1: dfrac12 × dfrac12
- A1: No, with the probability of two heads as dfrac14
Answer: No. The probability of two heads is 1/2 × 1/2 = 1/4, not 1. - 5
Question 5. Here are the graphs of y = 2x - 2 and y = 10 - 2x. Jo says the solution of the simultaneous equations is x = 1 and x = 5. Is Jo correct? Give a reason.
[2 marks]Solving Linear Simultaneous Equations Graphically▶ Show worked answerHide worked answer
- M1: the solution is where the lines cross, (3, 4)
- A1: No, x = 3 and y = 4
Answer: No, the lines cross at x = 3, y = 4
Mixed Topic Worksheet Grades 4/5: Day 047
- 1
Question 1. In the diagram, AB is parallel to CD.
(a) Work out the size of the angle marked x. [1]
(b) State the reason for your answer to part (a) [1]Co-Interior Angles▶ Show worked answerHide worked answer
- (a) B1: 112
- (b) B1: co-interior angles add up to 180° (the lines are parallel)
Answer: (a) 112°; (b) Co-interior angles add up to 180°[2 marks] - 2
Question 2. Tom flips a coin 10 times. It lands on heads 7 times.
Tom says, "The relative frequency of heads is 0.7, so the coin is not fair."
Is Tom correct? You must give a reason for your answer.Relative Frequency Graphs▶ Show worked answerHide worked answer
- B1: No
- B1: only 10 flips, too few to decide, so more flips are needed
Answer: No. 10 flips is too few to tell, so he needs many more flips[2 marks] - 3
Question 3. Sophie has run dfrac512 of a race.
She runs further and has then run dfrac34 of the race.
Work out the fraction of the race that she runs in the further part.
Give your answer as a fraction in its simplest form.Subtracting Fractions▶ Show worked answerHide worked answer
- M1: dfrac34=dfrac912
- M1: 9 - 5 = 4
- A1: dfrac13
Answer: dfrac13[3 marks] - 4
Question 4. Ravi flips two fair coins.
Ravi says, "The probability of getting two heads is dfrac12 + dfrac12 = 1."
Is Ravi correct?
Give a reason for your answer.And/Or Rules▶ Show worked answerHide worked answer
- M1: dfrac12 × dfrac12
- A1: No, with the probability of two heads as dfrac14
Answer: No. The probability of two heads is 1/2 × 1/2 = 1/4, not 1.[2 marks] - 5
Question 5. Here are the graphs of y = 2x - 2 and y = 10 - 2x. Jo says the solution of the simultaneous equations is x = 1 and x = 5. Is Jo correct? Give a reason.
Solving Linear Simultaneous Equations Graphically▶ Show worked answerHide worked answer
- M1: the solution is where the lines cross, (3, 4)
- A1: No, x = 3 and y = 4
Answer: No, the lines cross at x = 3, y = 4[2 marks]