20084

Question

{{name}} scores an average of {{avg1}} {{type}} in his first three {{game}} games.

{{question}} does he need to get in his next game to increase his average to {{avg2}}?

Worked Solution

Average = {{avg2}} after 4 games
Total {{type}} = {{avg2}} ×\times 4
= {{total1}}

{{type2}} after 3 games = {{avg1}} ×\times 3
= {{total2}}

∴\therefore {{type2}} required in 4th game = {{total1}} −- {{total2}}
= {{{correctAnswer}}}

Variant 0

DifficultyLevel

628

Question

Stan scores an average of 40 runs in his first three cricket games.

What score does he need to get in his next game to increase his average to 45?

Worked Solution

Average = 45 after 4 games
Total runs = 45 ×\times 4
= 180

Runs after 3 games = 40 ×\times 3
= 120

∴\therefore Runs required in 4th game = 180 −- 120
= 60

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
name
Stan
avg1
40
type
runs
game
cricket
question
What score
avg2
45
total1
180
total2
120
type2
Runs
correctAnswer
60

Answers

Is Correct?Answer
x

45

x

50

x

55

✓

60

Variant 1

DifficultyLevel

628

Question

Luc scores an average of 34 points in his first three basketball games.

How many points does he need to get in his next game to increase his average to 36?

Worked Solution

Average = 36 after 4 games
Total points = 36 ×\times 4
= 144

Points after 3 games = 34 ×\times 3
= 102

∴\therefore Points required in 4th game = 144 −- 102
= 42

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
name
Luc
avg1
34
type
points
game
basketball
question
How many points
avg2
36
total1
144
total2
102
type2
Points
correctAnswer
42

Answers

Is Correct?Answer
x

38

x

40

✓

42

x

44

Variant 2

DifficultyLevel

628

Question

Don scores an average of 60 runs in his first three cricket games.

What score does he need to get in his next game to increase his average to 66?

Worked Solution

Average = 66 after 4 games
Total runs = 66 ×\times 4
= 264

Runs after 3 games = 60 ×\times 3
= 180

∴\therefore Runs required in 4th game = 264 −- 180
= 84

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
name
Don
avg1
60
type
runs
game
cricket
question
What score
avg2
66
total1
264
total2
180
type2
Runs
correctAnswer
84

Answers

Is Correct?Answer
✓

84

x

78

x

72

x

66

Variant 3

DifficultyLevel

628

Question

Lebron scores an average of 28 points in his first three basketball games.

How many points does he need to get in his next game to increase his average to 31?

Worked Solution

Average = 31 after 4 games
Total points = 31 ×\times 4
= 124

Points after 3 games = 28 ×\times 3
= 84

∴\therefore Points required in 4th game = 124 −- 84
= 40

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
name
Lebron
avg1
28
type
points
game
basketball
question
How many points
avg2
31
total1
124
total2
84
type2
Points
correctAnswer
40

Answers

Is Correct?Answer
x

31

x

34

x

37

✓

40

Variant 4

DifficultyLevel

628

Question

Steve scores an average of 64 runs in his first three cricket games.

What score does he need to get in his next game to increase his average to 70?

Worked Solution

Average = 70 after 4 games
Total runs = 70 ×\times 4
= 280

Runs after 3 games = 64 ×\times 3
= 192

∴\therefore Runs required in 4th game = 280 −- 192
= 88

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
name
Steve
avg1
64
type
runs
game
cricket
question
What score
avg2
70
total1
280
total2
192
type2
Runs
correctAnswer
88

Answers

Is Correct?Answer
✓

88

x

82

x

76

x

70

Tags

  • ch_mean
  • ms_ca