Mixed Topic Worksheet Grades 4/5: Day 029
- 1
Question 1. A circle has a diameter of 14 cm.
Work out the area of the circle.
Give your answer in terms of πArea of a Circle▶ Show worked answerHide worked answer
- M1: π × 7²
- A1: 49π
Answer: 49π[2 marks] - 2
Question 2. Some customers each bought a T-shirt. The sizes they bought are listed. S M M L S M XL M L M S L M M S XL L M S M. Complete the tally chart and the frequency column.
Working with Tally Charts▶ Show worked answerHide worked answer
- B1: at least three frequencies correct
- B1: all four frequencies correct
Answer: S 5, M 9, L 4, XL 2[2 marks] - 3
Question 3. The first five terms of a sequence are 3, 7, 15, 31, 63.
Describe the term-to-term rule. [2]Types of Sequences▶ Show worked answerHide worked answer
- M1: differences 4, 8, 16, 32 double each time, or tests multiplying by 2
- A1: multiply by 2 and add 1
Answer: Multiply the previous term by 2 and add 1[2 marks] - 4
Question 4. Hana cycles from her home to a market, stays at the market, and then cycles home. The graph shows her journey.
Find the two times at which Hana is 5 km from her home.Key Regions on Distance-Time Graphs▶ Show worked answerHide worked answer
- B1: 20
- B1: 80
Answer: 20 minutes and 80 minutes[2 marks] - 5
Question 5. The volume V of a bottle is given as a rounded value.
The error interval for V is
745 ≤ V < 755 (ml)
Write down the rounded value of V and the accuracy it was rounded to.Finding Bounds & Error Intervals▶ Show worked answerHide worked answer
- M1: (745 + 755) ÷ 2
- A1: 750
- B1: nearest 10 ml
Answer: 750 ml, to the nearest 10 ml[3 marks]
Mixed Topic Worksheet Grades 4/5: Day 029
- 1
Question 1. A circle has a diameter of 14 cm.
[2 marks]
Work out the area of the circle.
Give your answer in terms of πArea of a Circle▶ Show worked answerHide worked answer
- M1: π × 7²
- A1: 49π
Answer: 49π - 2
Question 2. Some customers each bought a T-shirt. The sizes they bought are listed. S M M L S M XL M L M S L M M S XL L M S M. Complete the tally chart and the frequency column.
[2 marks]Working with Tally Charts▶ Show worked answerHide worked answer
- B1: at least three frequencies correct
- B1: all four frequencies correct
Answer: S 5, M 9, L 4, XL 2 - 3
Question 3. The first five terms of a sequence are 3, 7, 15, 31, 63.
[2 marks]
Describe the term-to-term rule. [2]Types of Sequences▶ Show worked answerHide worked answer
- M1: differences 4, 8, 16, 32 double each time, or tests multiplying by 2
- A1: multiply by 2 and add 1
Answer: Multiply the previous term by 2 and add 1 - 4
Question 4. Hana cycles from her home to a market, stays at the market, and then cycles home. The graph shows her journey.
[2 marks]
Find the two times at which Hana is 5 km from her home.Key Regions on Distance-Time Graphs▶ Show worked answerHide worked answer
- B1: 20
- B1: 80
Answer: 20 minutes and 80 minutes - 5
Question 5. The volume V of a bottle is given as a rounded value.
[3 marks]
The error interval for V is
745 ≤ V < 755 (ml)
Write down the rounded value of V and the accuracy it was rounded to.Finding Bounds & Error Intervals▶ Show worked answerHide worked answer
- M1: (745 + 755) ÷ 2
- A1: 750
- B1: nearest 10 ml
Answer: 750 ml, to the nearest 10 ml
Mixed Topic Worksheet Grades 4/5: Day 029
- 1
Question 1. A circle has a diameter of 14 cm.
Work out the area of the circle.
Give your answer in terms of πArea of a Circle▶ Show worked answerHide worked answer
- M1: π × 7²
- A1: 49π
Answer: 49π[2 marks] - 2
Question 2. Some customers each bought a T-shirt. The sizes they bought are listed. S M M L S M XL M L M S L M M S XL L M S M. Complete the tally chart and the frequency column.
Working with Tally Charts▶ Show worked answerHide worked answer
- B1: at least three frequencies correct
- B1: all four frequencies correct
Answer: S 5, M 9, L 4, XL 2[2 marks] - 3
Question 3. The first five terms of a sequence are 3, 7, 15, 31, 63.
Describe the term-to-term rule. [2]Types of Sequences▶ Show worked answerHide worked answer
- M1: differences 4, 8, 16, 32 double each time, or tests multiplying by 2
- A1: multiply by 2 and add 1
Answer: Multiply the previous term by 2 and add 1[2 marks] - 4
Question 4. Hana cycles from her home to a market, stays at the market, and then cycles home. The graph shows her journey.
Find the two times at which Hana is 5 km from her home.Key Regions on Distance-Time Graphs▶ Show worked answerHide worked answer
- B1: 20
- B1: 80
Answer: 20 minutes and 80 minutes[2 marks] - 5
Question 5. The volume V of a bottle is given as a rounded value.
The error interval for V is
745 ≤ V < 755 (ml)
Write down the rounded value of V and the accuracy it was rounded to.Finding Bounds & Error Intervals▶ Show worked answerHide worked answer
- M1: (745 + 755) ÷ 2
- A1: 750
- B1: nearest 10 ml
Answer: 750 ml, to the nearest 10 ml[3 marks]