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Arithmetic Reasoning &
Mathematics Knowledge Sample Test

This is a sample question to help you get familiar with the format of the test

You will see a question on your page like this one:

1) This morning I had $5 in my bank account. At lunch time, I added $10. How much money do I have in my bank account now?

After reading through the question, select black buttons below to record your response.

Responses are only final when you select the "Next Section" button.

A) $0

B) $5

C) $10

D) $15

Select the "Next Section" button to reveal the answer.

D is the correct answer!

We recommend grabbing some scrap paper and taking this exam on a computer.

If you're ready to begin, click the start test button to start.

1) Amy went to the store with $(random multiple of 5 between 50 and 75), she bought 5 items for $(first cost), $(second cost), $(third cost), $(fourth cost) and $(fifth cost). If her tax was was 15% how much money will she get back in change?

A) (25% correct)

B) (25% correct)

C) (25% correct)

D) (25% correct)

2) (Random Name)'s took 5 tests this year and had these scores: (random number 1), (random number 2), (random number 3), (random number 4), (random number 5). What (Random Name)'s average score on these 5 tests?

A) (25% correct)

B) (25% correct)

C) (25% correct)

D) (25% correct)

3) A box of chocolate has 50 pieces of chocolate. (Random number) of these peices have nuts in them. What percentage of pieces do not have nuts in them?

A) (25% correct)

B) (25% correct)

C) (25% correct)

D) (25% correct)

4) (Random name)'s teacher assigns (random number) pages of reading each week. If (Random name) starts reading on Sunday and reads (random number) of pages a day, what day will she finish her reading for the week?

A) (25% correct)

B) (25% correct)

C) (25% correct)

D) (25% correct)

5) (Random name) deposits $(random number * 1000) in their savings account. If they earns (random number)% on their savings account each year, how much money will (Random name) have in 2 years?

A) (25% correct)

B) (25% correct)

C) (25% correct)

D) (25% correct)

6) (Random Name) runs (random number) miles in (random number) minutes. To the nearest mile per hour, how fast did they run?

A) (25% correct)

B) (25% correct)

C) (25% correct)

D) (25% correct)

7) (Random Name) started a diet so that he could lose some weight before going to boot camp this summer. (Random Name) is currently (random number) lbs and wants to hit a goal of (random smaller number). If he is going to bootcamp in (random number) weeks, to the nearest tenth, much weight does he need to lose each week to reach his goal?

A) (25% correct)

B) (25% correct)

C) (25% correct)

D) (25% correct)

8) (Random name) has a retangular garden that is (random number) feet by (random number) feet. If he needs 2 Ounces of soil for each square foot in his garden, and each ounce of soil costs $1.50, how much will he spend to fill up his garden?

A) (25% correct)

B) (25% correct)

C) (25% correct)

D) (25% correct)

9) On Black Friday, Sarah goes to her local store and buys a PC, a drone, and a keyboard for $(random number). At checkout, she gets a 30% discount on her total purchase. How much did she end up paying for her items?

A) (25% correct)

B) (25% correct)

C) (25% correct)

D) (25% correct)

10) Two numbers add up to (random multiple of 3) if one number is twice the size of the other number, what is the value of the larger number?

A) (25% correct)

B) (25% correct)

C) (25% correct)

D) (25% correct)

11) (Random Name) is Amy's younger sister. Sarah is Amy's older sister. When Amy was (random multiple of 3) Sarah was double Amy's age and (Random Name) was 1/3 Amy's age. If (Random Name) is now (Random number), how old is Sarah?

A) (25% correct)

B) (25% correct)

C) (25% correct)

D) (25% correct)

12) If a rectangular swimming pool is (random number) feet long, (random number) feet wide, and (random number) feet deep, what is the volume of the pool?

A) (25% correct)

B) (25% correct)

C) (25% correct)

D) (25% correct)

13) (Random name) has $(random number) in his checking account. He pays one bill for $1,237, goes out with friends and spends $439, and then finally, receives a direct deposit of $2,400. How much money does he have in his checking account now?

A) (25% correct)

B) (25% correct)

C) (25% correct)

D) (25% correct)

14) Andrew is trying to climb onto the roof of his house to clean his gutters. He lays out a ladder that makes and angle of (random number) with the ground and the ladder. What is the angle the ladder makes with his house?

A) (25% correct)

B) (25% correct)

C) (25% correct)

D) (25% correct)

15) In a recent election, John received (random number)% of the votes, Chloe received (random number)% of the votes, Angelina received  (random number)% of the votes, and Brian received the remaining votes. If there were 25,000 votes in total, how many votes did Brian receive?

A) (25% correct)

B) (25% correct)

C) (25% correct)

D) (25% correct)

16) A circular pool has a circumference of (random multiple of 3.14) m and a depth of (random number meters). If a basketball has a volume of 0.007 cubic meters, how many basketballs will it take to fill up this pool?

A) (25% correct)

B) (25% correct)

C) (25% correct)

D) (25% correct)

17) Angela is saving up to buy herself a new car. She makes $1,200 a week and saves (random number)% of it towards her new car. She currently has $(random number) saved up in her checking account. If the car costs $(random number * 1000), how many weeks will it take for her to be able to able to buy the car?

A) (25% correct)

B) (25% correct)

C) (25% correct)

D) (25% correct)

18) As a result of shortage, Max's favorite game increased from $(random number) to $(random number). Approximately how many percent did this game increase?

A) (25% correct)

B) (25% correct)

C) (25% correct)

D) (25% correct)

19) If x + 3y = 7 and 8x + 12y = 68, what is the value of x - 9y?

A) (25% correct)

B) (25% correct)

C) (25% correct)

D) (25% correct)

20) If a = (x + 1)(x + 2) and b = (x + 2)(x + 4), what is 2a - 3b?

A) (x + 2)(x + 10)

B) (x - 2)(x + 10)

C) -(x + 2)(x - 10)

D) -(x + 2)(x + 10)

21) Triangle ABC is an isosceles triangle with a smallest angle of (random number) degrees. What is the measure of the largest angle in this triangle?

A) (25% correct)

B) (25% correct)

C) (25% correct)

D) (25% correct)

22) If a square garden has an area of (random number squared) square meters, what is the perimeter of the garden?

A) (25% correct)

B) (25% correct)

C) (25% correct)

D) (25% correct)

23) If the radius of Circle A is three times as large as circle B, how much larger is the area of Circle A as compared with Circle B?

A) 3 times

B) 6 times

C) 9 times

D) 2 times

24) If three consecutive even numbers add up to (random even number), what is the value of the largest number?

A) (25% correct)

B) (25% correct)

C) (25% correct)

D) (25% correct)

25) There are (random number) people in a meeting room for the launch of a new company. If all (random number) people shake hands with everyone in the room, how many handshakes were exchanged in all? 

A) (25% correct)

B) (25% correct)

C) (25% correct)

D) (25% correct)

26) Brandon runs twice as fast downhill as he does uphill and 2/3 as fast uphill as he does on level ground. If he is running a 72 mile race with 24 miles uphill, 24 miles downhill, and 24 miles on flat ground, how long will it take him to complete this race if his speed on level ground is (random multiple of 4) mph?

A) (25% correct)

B) (25% correct)

C) (25% correct)

D) (25% correct)

27) (Random Name) went to the grocery store and bought her items for a total of $(random number). If she used a 15% off coupon, then a $10 off coupon, and finally, a $15 off coupon, how much did she pay for groceries if her tax was (random number)%?

A) (25% correct)

B) (25% correct)

C) (25% correct)

D) (25% correct)

28) If Andrew needs 3 potatoes for every 6 carrots in his soup, as well as 3 onions for every 2 potatoes, if he has 18 potatoes, what is the total number of of onions and carrots he would need so that he uses every potato?

A) 54

B) 44

C) 64

D) 24

29) A baker uses 7 eggs to make a cake. If he has (random number) of eggs, how many cakes can he bake?

A) (25% correct)

B) (25% correct)

C) (25% correct)

D) (25% correct)

30) John invested $(random number * 1000) into the stock market. At the end of the first week, he had lost 20 of his investment. By the end of the second week, he had tripled the amount he amount he had at the end of the first week. Finally, by the end of the third week, he had lost half of his investment from the end of the second week. What was his investment amount at the end of the 3 weeks?

A) (25% correct)

B) (25% correct)

C) (25% correct)

D) (25% correct)

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