30105

Question

{{name}} scored {{score1}} and {{score2}} {{type}} in the first two games of the {{sport}} season.

If {{gender1}} average after the third game was {{avg}}, how many {{type}} did {{gender2}} score in the third game?

Worked Solution

Total {{type}} after 3 games
= 3 ×\times {{avg}}
= {{total1}}

∴\therefore {{type2}} scored in 3rd game
= {{total1}} −- ({{score1}} + {{score2}})
= {{total1}} −- {{total2}}
= {{correctAnswer}}

Variant 0

DifficultyLevel

596

Question

Sylvester scored 24 and 31 points in the first two games of the basketball season.

If his average after the third game was 25, how many points did he score in the third game?

Worked Solution

Total points after 3 games
= 3 ×\times 25
= 75

∴\therefore Points scored in 3rd game
= 75 −- (24 + 31)
= 75 −- 55
= 20

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
name
Sylvester
score1
24
score2
31
type
points
sport
basketball
gender1
his
avg
25
total1
75
gender2
he
total2
55
type2
Points
correctAnswer
20

Answers

Is Correct?Answer
✓

20

x

22

x

25

x

27

Variant 1

DifficultyLevel

596

Question

Belinda scored 36 and 61 runs in the first two games of the cricket season.

If her average after the third game was 41, how many runs did she score in the third game?

Worked Solution

Total runs after 3 games
= 3 ×\times 41
= 123

∴\therefore Runs scored in 3rd game
= 123 −- (36 + 61)
= 123 −- 97
= 26

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
name
Belinda
score1
36
score2
61
type
runs
sport
cricket
gender1
her
avg
41
gender2
she
total1
123
total2
97
type2
Runs
correctAnswer
26

Answers

Is Correct?Answer
✓

26

x

32

x

41

x

44

Variant 2

DifficultyLevel

596

Question

Andrew scored 31 and 19 points in the first two games of the basketball season.

If his average after the third game was 29, how many points did he score in the third game?

Worked Solution

Total points after 3 games
= 3 ×\times 29
= 87

∴\therefore Points scored in 3rd game
= 87 −- (31 + 19)
= 87 −- 50
= 37

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
name
Andrew
score1
31
score2
19
type
points
sport
basketball
gender1
his
avg
29
gender2
he
total1
87
total2
50
type2
Points
correctAnswer
37

Answers

Is Correct?Answer
x

23

x

29

✓

37

x

41

Variant 3

DifficultyLevel

596

Question

Moana scored 27 and 16 points in the first two games of the Aussie rules season.

If her average after the third game was 19, how many points did she score in the third game?

Worked Solution

Total points after 3 games
= 3 ×\times 19
= 57

∴\therefore Points scored in 3rd game
= 57 −- (27 + 16)
= 57 −- 43
= 14

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
name
Moana
score1
27
score2
16
type
points
sport
Aussie rules
gender1
her
avg
19
gender2
she
total1
57
total2
43
type2
Points
correctAnswer
14

Answers

Is Correct?Answer
x

11

✓

14

x

16

x

19

Variant 4

DifficultyLevel

596

Question

Rasheed scored 26 and 71 runs in the first two games of the cricket season.

If his average after the third game was 52, how many runs did he score in the third game?

Worked Solution

Total runs after 3 games
= 3 ×\times 52
= 156

∴\therefore Runs scored in 3rd game
= 156 −- (26 + 71)
= 156 −- 97
= 59

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
name
Rasheed
score1
26
score2
71
type
runs
sport
cricket
gender1
his
avg
52
gender2
he
total1
156
total2
97
type2
Runs
correctAnswer
59

Answers

Is Correct?Answer
x

42

x

52

✓

59

x

66