Mixed Topic Worksheet Grades 4/5: Day 062
- 1
Question 1. The diagram shows a circle.
Work out the circumference of the circle.
Give your answer to 1 decimal place.Perimeter of a Circle▶ Show worked answerHide worked answer
- M1: 2 × π × 5
- A1: 31.4
Answer: 31.4 cm[2 marks] - 2
Question 2. A ribbon is 7dfrac12 m long.
The ribbon is cut into pieces.
Each piece is 1dfrac14 m long.
Work out the number of pieces.Dividing Mixed Numbers▶ Show worked answerHide worked answer
- M1: 7dfrac12=dfrac7×2+12 and 1dfrac14=dfrac1×4+14
- M1: dfrac152 × dfrac45 = dfrac6010
- A1: 6
Answer: 6[3 marks] - 3
Question 3. Triangle ABC has a right angle at C.
AB = 21 cm
BC = 8 cm
Calculate the length of CA.
Give your answer correct to 1 decimal place.Using Pythagoras to Find a Non-Hypotenuse Side▶ Show worked answerHide worked answer
- M1: 21² - 8²
- M1: √21² - 8² = 19.4165ldots
- A1: 19.4 cm
Answer: 19.4 cm[3 marks] - 4
Question 4. Ravi and Sana each take a penalty kick.
The tree diagram shows the probability that each of them scores.
Work out the probability that neither of them scores.Finding Probabilities with Tree Diagrams▶ Show worked answerHide worked answer
- M1: 0.4 × 0.3
- A1: 0.12
Answer: 0.12[2 marks] - 5
Question 5. Complete the table of values for y = 4x - x²
x | -1 | 0 | 1 | 2 | 3 | 4 | 5
y | -5 | 0 | ... | 4 | ... | 0 | ...Plotting Quadratics▶ Show worked answerHide worked answer
- B3: 3, 3, -5 (B2 for two correct, B1 for one correct)
Answer: 3, 3, -5[3 marks]
Mixed Topic Worksheet Grades 4/5: Day 062
- 1
Question 1. The diagram shows a circle.
[2 marks]
Work out the circumference of the circle.
Give your answer to 1 decimal place.Perimeter of a Circle▶ Show worked answerHide worked answer
- M1: 2 × π × 5
- A1: 31.4
Answer: 31.4 cm - 2
Question 2. A ribbon is 7dfrac12 m long.
[3 marks]
The ribbon is cut into pieces.
Each piece is 1dfrac14 m long.
Work out the number of pieces.Dividing Mixed Numbers▶ Show worked answerHide worked answer
- M1: 7dfrac12=dfrac7×2+12 and 1dfrac14=dfrac1×4+14
- M1: dfrac152 × dfrac45 = dfrac6010
- A1: 6
Answer: 6 - 3
Question 3. Triangle ABC has a right angle at C.
[3 marks]
AB = 21 cm
BC = 8 cm
Calculate the length of CA.
Give your answer correct to 1 decimal place.Using Pythagoras to Find a Non-Hypotenuse Side▶ Show worked answerHide worked answer
- M1: 21² - 8²
- M1: √21² - 8² = 19.4165ldots
- A1: 19.4 cm
Answer: 19.4 cm - 4
Question 4. Ravi and Sana each take a penalty kick.
[2 marks]
The tree diagram shows the probability that each of them scores.
Work out the probability that neither of them scores.Finding Probabilities with Tree Diagrams▶ Show worked answerHide worked answer
- M1: 0.4 × 0.3
- A1: 0.12
Answer: 0.12 - 5
Question 5. Complete the table of values for y = 4x - x²
[3 marks]
x | -1 | 0 | 1 | 2 | 3 | 4 | 5
y | -5 | 0 | ... | 4 | ... | 0 | ...Plotting Quadratics▶ Show worked answerHide worked answer
- B3: 3, 3, -5 (B2 for two correct, B1 for one correct)
Answer: 3, 3, -5
Mixed Topic Worksheet Grades 4/5: Day 062
- 1
Question 1. The diagram shows a circle.
Work out the circumference of the circle.
Give your answer to 1 decimal place.Perimeter of a Circle▶ Show worked answerHide worked answer
- M1: 2 × π × 5
- A1: 31.4
Answer: 31.4 cm[2 marks] - 2
Question 2. A ribbon is 7dfrac12 m long.
The ribbon is cut into pieces.
Each piece is 1dfrac14 m long.
Work out the number of pieces.Dividing Mixed Numbers▶ Show worked answerHide worked answer
- M1: 7dfrac12=dfrac7×2+12 and 1dfrac14=dfrac1×4+14
- M1: dfrac152 × dfrac45 = dfrac6010
- A1: 6
Answer: 6[3 marks] - 3
Question 3. Triangle ABC has a right angle at C.
AB = 21 cm
BC = 8 cm
Calculate the length of CA.
Give your answer correct to 1 decimal place.Using Pythagoras to Find a Non-Hypotenuse Side▶ Show worked answerHide worked answer
- M1: 21² - 8²
- M1: √21² - 8² = 19.4165ldots
- A1: 19.4 cm
Answer: 19.4 cm[3 marks] - 4
Question 4. Ravi and Sana each take a penalty kick.
The tree diagram shows the probability that each of them scores.
Work out the probability that neither of them scores.Finding Probabilities with Tree Diagrams▶ Show worked answerHide worked answer
- M1: 0.4 × 0.3
- A1: 0.12
Answer: 0.12[2 marks] - 5
Question 5. Complete the table of values for y = 4x - x²
x | -1 | 0 | 1 | 2 | 3 | 4 | 5
y | -5 | 0 | ... | 4 | ... | 0 | ...Plotting Quadratics▶ Show worked answerHide worked answer
- B3: 3, 3, -5 (B2 for two correct, B1 for one correct)
Answer: 3, 3, -5[3 marks]