Mixed Topic Worksheet Grades 1/2/3: Day 052
- 1
Question 1. Here are two solid shapes, A and B.
(a) Write down the name of solid A. [1]
(b) Write down the name of solid B. [1]Identifying 3D Shapes▶ Show worked answerHide worked answer
- (a) B1: square-based pyramid
- (b) B1: hemisphere
Answer: (a) square-based pyramid; (b) hemisphere[2 marks] - 2
Question 2. Zara works out 703 - 258 = 555 Is Zara correct? You must show your working.
Subtracting Integers▶ Show worked answerHide worked answer
- M1: Units: 13 - 8 = 5, then the tens and hundreds with their exchanges
- A1: 445, so Zara is not correct
Answer: No. 703 - 258 = 445[2 marks] - 3
Question 3. A triangle has sides of length 6 cm, 6 cm and 4 cm.
Write down the mathematical name for this type of triangle.
Give a reason for your answer.Types of Triangles▶ Show worked answerHide worked answer
- B1: isosceles
- B1: two of its sides are equal
Answer: Isosceles, because two sides are equal[2 marks] - 4
Question 4. Describe how a simple random sample of 20 pupils could be taken from the 180 pupils in Year 11.
Simple Random Sampling▶ Show worked answerHide worked answer
- B1: give every pupil a number from 1 to 180 (or write each name on a piece of paper)
- B1: choose 20 different numbers at random with a random number generator (or take 20 names from a hat), ignoring repeats
Answer: Number the pupils 1 to 180, then use a random number generator (or names in a hat) to choose 20 different pupils.[2 marks] - 5
Question 5. A car drives 60 miles at 30 mph and then returns the same 60 miles at 60 mph.
Dee says the average speed for the whole journey is 45 mph.
Show that Dee is wrong.Speed, Distance & Time Calculations▶ Show worked answerHide worked answer
- M1: times 60 ÷ 30 = 2 h and 60 ÷ 60 = 1 h, total 3 h
- M1: average speed =120 ÷ 3
- A1: 40 mph, not 45 mph
Answer: Total distance 120 miles in 3 hours gives 40 mph, not 45 mph[3 marks]
Mixed Topic Worksheet Grades 1/2/3: Day 052
- 1
Question 1. Here are two solid shapes, A and B.
[2 marks]
(a) Write down the name of solid A. [1]
(b) Write down the name of solid B. [1]Identifying 3D Shapes▶ Show worked answerHide worked answer
- (a) B1: square-based pyramid
- (b) B1: hemisphere
Answer: (a) square-based pyramid; (b) hemisphere - 2
Question 2. Zara works out 703 - 258 = 555 Is Zara correct? You must show your working.
[2 marks]Subtracting Integers▶ Show worked answerHide worked answer
- M1: Units: 13 - 8 = 5, then the tens and hundreds with their exchanges
- A1: 445, so Zara is not correct
Answer: No. 703 - 258 = 445 - 3
Question 3. A triangle has sides of length 6 cm, 6 cm and 4 cm.
[2 marks]
Write down the mathematical name for this type of triangle.
Give a reason for your answer.Types of Triangles▶ Show worked answerHide worked answer
- B1: isosceles
- B1: two of its sides are equal
Answer: Isosceles, because two sides are equal - 4
Question 4. Describe how a simple random sample of 20 pupils could be taken from the 180 pupils in Year 11.
[2 marks]Simple Random Sampling▶ Show worked answerHide worked answer
- B1: give every pupil a number from 1 to 180 (or write each name on a piece of paper)
- B1: choose 20 different numbers at random with a random number generator (or take 20 names from a hat), ignoring repeats
Answer: Number the pupils 1 to 180, then use a random number generator (or names in a hat) to choose 20 different pupils. - 5
Question 5. A car drives 60 miles at 30 mph and then returns the same 60 miles at 60 mph.
[3 marks]
Dee says the average speed for the whole journey is 45 mph.
Show that Dee is wrong.Speed, Distance & Time Calculations▶ Show worked answerHide worked answer
- M1: times 60 ÷ 30 = 2 h and 60 ÷ 60 = 1 h, total 3 h
- M1: average speed =120 ÷ 3
- A1: 40 mph, not 45 mph
Answer: Total distance 120 miles in 3 hours gives 40 mph, not 45 mph
Mixed Topic Worksheet Grades 1/2/3: Day 052
- 1
Question 1. Here are two solid shapes, A and B.
(a) Write down the name of solid A. [1]
(b) Write down the name of solid B. [1]Identifying 3D Shapes▶ Show worked answerHide worked answer
- (a) B1: square-based pyramid
- (b) B1: hemisphere
Answer: (a) square-based pyramid; (b) hemisphere[2 marks] - 2
Question 2. Zara works out 703 - 258 = 555 Is Zara correct? You must show your working.
Subtracting Integers▶ Show worked answerHide worked answer
- M1: Units: 13 - 8 = 5, then the tens and hundreds with their exchanges
- A1: 445, so Zara is not correct
Answer: No. 703 - 258 = 445[2 marks] - 3
Question 3. A triangle has sides of length 6 cm, 6 cm and 4 cm.
Write down the mathematical name for this type of triangle.
Give a reason for your answer.Types of Triangles▶ Show worked answerHide worked answer
- B1: isosceles
- B1: two of its sides are equal
Answer: Isosceles, because two sides are equal[2 marks] - 4
Question 4. Describe how a simple random sample of 20 pupils could be taken from the 180 pupils in Year 11.
Simple Random Sampling▶ Show worked answerHide worked answer
- B1: give every pupil a number from 1 to 180 (or write each name on a piece of paper)
- B1: choose 20 different numbers at random with a random number generator (or take 20 names from a hat), ignoring repeats
Answer: Number the pupils 1 to 180, then use a random number generator (or names in a hat) to choose 20 different pupils.[2 marks] - 5
Question 5. A car drives 60 miles at 30 mph and then returns the same 60 miles at 60 mph.
Dee says the average speed for the whole journey is 45 mph.
Show that Dee is wrong.Speed, Distance & Time Calculations▶ Show worked answerHide worked answer
- M1: times 60 ÷ 30 = 2 h and 60 ÷ 60 = 1 h, total 3 h
- M1: average speed =120 ÷ 3
- A1: 40 mph, not 45 mph
Answer: Total distance 120 miles in 3 hours gives 40 mph, not 45 mph[3 marks]