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Problem-Solving and Data Analysis

Questions

In a sample 80% of the items are faulty. There are 88 faulty items in the sample. How many total items are in the sample?

Q1

Skill Systems of two linear equations in two variable

Difficulty

Q2

The population of City A increased by 7%  from 2015 to  2016 . If the population is  k times the 2015 population, what is the value of  k?

A) 0.07

B) 0.7

C) 1.07

D) 1.7

Q3

Which of the following is closest to the slope of this line of best fit?

Screenshot 2026-03-14 013418.png

A) 7

B) 0.7

C) - 0.7

D) - 7

Q4

An object has a mass of 168 grams and a volume of 24 cubic centimetre. What is the density, in grams per cubic centimetre , of the object?

A) 7

B) 144

C) 192

D) 4032

Q5

Based on a random sample from a population, a researcher estimated that the mean value of a certain variable for the population is 20.5, with an associated margin of error of 1 . Which of the following is the most appropriate conclusion?

A) It is possible that the actual mean value of the variable for the population is between 19.5 and 21.5

B) It is not possible that the mean value of the variable for the population is less than 19.5 or greater than  21.5

C) Every value of the variable in the population is between 19.5 and 21.5

D) The mean value of the variable for the population is 20.5

Q6

Which expression represents the result of increasing a positive quantity by 43% ?

A) 1.4w

B) 0.57w

C) 43w

D) 0.43w

Q7

There are 450 tiles in a box. Of these tiles, 6% are black. How many black tiles are in the box?

Q8

A distance of 354 furlongs is equivalent to how many feet ? (1furlongs = 220yards & 1 yard = 3feet)

A) 306

B) 402

C) 25,960

D) 233,640

Q9

432 is 96% of what number ?

Q10

Last year, 200 students enrolled in an interior design program. This year, the number of students enrolled is 147% of last year's number. How many students are enrolled in the interior design program this year?

A) 247

B) 294

C) 347

D) 394

Q12

Q13

There are 250 trees in a park. Of these trees, 6% are birch trees. How many birch trees are in the park?

A) 6

B) 15

C) 75

What is the median of the data shown?

D)244

Q14

Which of the following equations is the most appropriate linear model for the data shown in the scatterplot?

Screenshot 2026-03-14 022934.png

Q15

A ) y = -1.9x - 10.1

C ) y = 1.9x - 10.1

Screenshot 2026-03-14 023458.png

B ) y = -1.9x + 10.1

D ) y = 1.9x + 10.1

Q16

Q17

A customer spent $27  to purchase oranges at $3 per pound. How many pounds of oranges did the customer purchase?

The table gives the results of a survey of 200 people who were asked how often they see a movie in a theater. How many people responded either “never” or “almost never”?

A ) 24

C) 82

B) 53

D) 118

The table gives the distribution of votes for a new school mascot and grade level for 80 students

Q18

If one of these students is selected at random, what is the probability of selecting a student whose vote for new mascot was for a lion? 

Screenshot 2026-03-14 024329.png

A wind turbine completes 900 revolutions in 50 minutes. At this rate, how many revolutions per minute does this turbine complete ?

A ) 1/9

C ) 1/4

A ) 18

B ) 1/5

C ) 950

D ) 2/3

B ) 850

D ) 1,400

Q11

What percentage of 300 is 75?

73 , 74 , 75 , 77 , 79 , 82 , 84 , 85 , 91

stay tuned - more questions & solution will be added soon !

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