Mixed Topic Worksheet Grades 4/5: Day 100
- 1
Question 1. Write 0.275 as a percentage.
Converting Decimals & Percentages▶ Show worked answerHide worked answer
- B1: 27.5%
Answer: 27.5%[1 mark] - 2
Question 2. Ana throws a drawing pin 30 times. It lands point up 12 times.
Ben throws the same pin 150 times. It lands point up 51 times.
Whose relative frequency is the better estimate of the probability that the pin lands point up? You must give a reason for your answer.Relative Frequency Graphs▶ Show worked answerHide worked answer
- B1: Ben
- B1: more throws, so his relative frequency is more reliable
Answer: Ben's, because he made more throws[2 marks] - 3
Question 3. Draw angle ABC = 80^° with AB = 6 cm and BC = 6 cm.
Use a ruler and compasses to construct the bisector of angle ABC.
Write down the size of each of the two equal angles.Drawing Angle Bisectors▶ Show worked answerHide worked answer
- B1: angle ABC = 80^° drawn with both arms 6 cm
- M1: arc centred on B cutting BA and BC, then two arcs of equal radius from those points that cross inside the angle
- A1: 40
Answer: 40[3 marks] - 4
Question 4. Triangles ABC and PQR are shown.
The triangles are congruent.
Write down the condition (SSS, SAS, ASA or RHS) that shows this.
Give a reason for your answer.Identifying Congruent Triangles▶ Show worked answerHide worked answer
- B1: SAS
- B1: two sides and the included angle (40^°, between 6 cm and 9 cm) match
Answer: SAS: two sides and the angle between them are equal[2 marks] - 5
Question 5. A hiker walks 6 km from A to B on a bearing of 048^°.
Is B further east of A than it is north of A?
You must show your working.Bearings Problems Involving SOH, CAH, TOA▶ Show worked answerHide worked answer
- M1: east = 6 × sin 48°, north = 6 × cos 48°
- M1: east 4.46 km is more than north 4.01 km
- A1: Yes, B is further east
Answer: Yes; east = 4.46 km and north = 4.01 km, so B is further east[3 marks]
Mixed Topic Worksheet Grades 4/5: Day 100
- 1
Question 1. Write 0.275 as a percentage.
[1 mark]Converting Decimals & Percentages▶ Show worked answerHide worked answer
- B1: 27.5%
Answer: 27.5% - 2
Question 2. Ana throws a drawing pin 30 times. It lands point up 12 times.
[2 marks]
Ben throws the same pin 150 times. It lands point up 51 times.
Whose relative frequency is the better estimate of the probability that the pin lands point up? You must give a reason for your answer.Relative Frequency Graphs▶ Show worked answerHide worked answer
- B1: Ben
- B1: more throws, so his relative frequency is more reliable
Answer: Ben's, because he made more throws - 3
Question 3. Draw angle ABC = 80^° with AB = 6 cm and BC = 6 cm.
[3 marks]
Use a ruler and compasses to construct the bisector of angle ABC.
Write down the size of each of the two equal angles.Drawing Angle Bisectors▶ Show worked answerHide worked answer
- B1: angle ABC = 80^° drawn with both arms 6 cm
- M1: arc centred on B cutting BA and BC, then two arcs of equal radius from those points that cross inside the angle
- A1: 40
Answer: 40 - 4
Question 4. Triangles ABC and PQR are shown.
[2 marks]
The triangles are congruent.
Write down the condition (SSS, SAS, ASA or RHS) that shows this.
Give a reason for your answer.Identifying Congruent Triangles▶ Show worked answerHide worked answer
- B1: SAS
- B1: two sides and the included angle (40^°, between 6 cm and 9 cm) match
Answer: SAS: two sides and the angle between them are equal - 5
Question 5. A hiker walks 6 km from A to B on a bearing of 048^°.
[3 marks]
Is B further east of A than it is north of A?
You must show your working.Bearings Problems Involving SOH, CAH, TOA▶ Show worked answerHide worked answer
- M1: east = 6 × sin 48°, north = 6 × cos 48°
- M1: east 4.46 km is more than north 4.01 km
- A1: Yes, B is further east
Answer: Yes; east = 4.46 km and north = 4.01 km, so B is further east
Mixed Topic Worksheet Grades 4/5: Day 100
- 1
Question 1. Write 0.275 as a percentage.
Converting Decimals & Percentages▶ Show worked answerHide worked answer
- B1: 27.5%
Answer: 27.5%[1 mark] - 2
Question 2. Ana throws a drawing pin 30 times. It lands point up 12 times.
Ben throws the same pin 150 times. It lands point up 51 times.
Whose relative frequency is the better estimate of the probability that the pin lands point up? You must give a reason for your answer.Relative Frequency Graphs▶ Show worked answerHide worked answer
- B1: Ben
- B1: more throws, so his relative frequency is more reliable
Answer: Ben's, because he made more throws[2 marks] - 3
Question 3. Draw angle ABC = 80^° with AB = 6 cm and BC = 6 cm.
Use a ruler and compasses to construct the bisector of angle ABC.
Write down the size of each of the two equal angles.Drawing Angle Bisectors▶ Show worked answerHide worked answer
- B1: angle ABC = 80^° drawn with both arms 6 cm
- M1: arc centred on B cutting BA and BC, then two arcs of equal radius from those points that cross inside the angle
- A1: 40
Answer: 40[3 marks] - 4
Question 4. Triangles ABC and PQR are shown.
The triangles are congruent.
Write down the condition (SSS, SAS, ASA or RHS) that shows this.
Give a reason for your answer.Identifying Congruent Triangles▶ Show worked answerHide worked answer
- B1: SAS
- B1: two sides and the included angle (40^°, between 6 cm and 9 cm) match
Answer: SAS: two sides and the angle between them are equal[2 marks] - 5
Question 5. A hiker walks 6 km from A to B on a bearing of 048^°.
Is B further east of A than it is north of A?
You must show your working.Bearings Problems Involving SOH, CAH, TOA▶ Show worked answerHide worked answer
- M1: east = 6 × sin 48°, north = 6 × cos 48°
- M1: east 4.46 km is more than north 4.01 km
- A1: Yes, B is further east
Answer: Yes; east = 4.46 km and north = 4.01 km, so B is further east[3 marks]