Question 1

$10 - 4 \div \frac{3}{4} + 5 = $

Accepted Answer

$\frac{29}{3}$

Answer

$12$

Answer

$\frac{3}{29}$

Answer

$13$

Question 2

What is $10\%$ of $20$?

Accepted Answer

$2$

Answer

$20$

Answer

$0.2$

Answer

$200$

Question 3

If $x = 3$ and $y = 16$, what is $4x+6-y$?

Accepted Answer

$2$

Answer

$67$

Answer

$15$

Answer

$54$

Question 4

Derick scored $25$ goals last season. This season Derick scored $40$ goals. What is the percent increase from last season to this season?

Accepted Answer

$60\%$

Answer

$37.5\%$

Answer

$55\%$

Answer

$40\%$

Question 5

In a lake, there is a patch of lily pads. Everyday, the patch doubles its size. If it takes 48 days to cover the entire lake, how long would it take for the patch to cover half of the lake?

Accepted Answer

$47$

Answer

$23$

Answer

$24$

Answer

$25$

Question 6

In a shoe store they sell two types of shoes, Nikes and Converses. The ratio of the amount of Nikes shoes to Converses shoes are $7 : 5$. The total amount of shoes is 96. How many Nikes shoes are there?

Accepted Answer

$56$

Answer

$48$

Answer

$40$

Answer

$64$

Question 7

Ms. Grant's car gets between 20 and 22 miles per gallon, inclusive. The gasoline she uses costs between $4.20 and $4.50 per gallon, inclusive. What is the greatest amount Ms. Grant will spend on gasoline to drive her car 200 miles?

Accepted Answer

$45.00

Answer

$40.90

Answer

$37.27

Answer

$42.00

Question 8

Consider the following addition operation: $-2+4-6+8-\cdots-22+24$. If the missing terms in the problem above were filled in according to the pattern, what would be the sum of all the terms?

Accepted Answer

$12$

Answer

$10$

Answer

$-6$

Answer

$6$

Question 9

Set $R$ contains all integers from 10 to 125, inclusive, and set $T$ contains all integers from 82 to 174, inclusive. How many integers are included in $R$, but not in $T$.

Accepted Answer

$72$

Answer

$73$

Answer

$70$

Answer

$71$

Question 10

Ryan must read 150 pages for school tomorrow. It took him 30 minutes to read the first 20 of the assigned pages. At this rate, how much additional time will it take him to finish the reading?

Accepted Answer

$3\frac{1}{4}$ hours

Answer

$2\frac{1}{6}$ hours

Answer

$3\frac{3}{4}$ hours

Answer

$1\frac{1}{2}$ hours

Question 11

Joe began to increase the speed of his car at 2:00 pm. Since that time, the speed of Joe's car has been steadily increasing by $1\frac{1}{2}$ miles per hour for each half minute that has passed. If the car is now traveling $65\frac{1}{2}$ miles per hour, for how many minutes has the car been exceeding the speed limit of 55 miles per hour?

Accepted Answer

$3\frac{1}{2}$ minutes

Answer

$5$ minutes

Answer

$4\frac{1}{2}$ minutes

Answer

$3\frac{1}{3}$ minutes

Question 12

A recent survey asked students what pets they have. Based on the results, the following statements are all true: 
23 students have dogs. 
20 students have cats. 
3 students have both dogs and cats. 
5 students have no cats or dogs. 
How many students were surveyed?

Accepted Answer

45

Answer

46

Answer

42

Answer

51

Question 13

Angie has $x$ dollars in her savings account, and Julia has $y$ dollars in her savings account. Angie gives Julia $\frac{1}{3}$ of the money in her savings account, which Julia deposits into her savings account. Julia then spends $\frac{1}{4}$ of the total in her savings account. Express the amount of money Julia spent in terms of $x$ and $y$.

Accepted Answer

$\frac{y}{4}+\frac{x}{12}$

Answer

$\frac{y}{4}+\frac{x}{3}$

Answer

$\frac{y}{4}+\frac{x}{7}$

Answer

$\frac{3y}{4}+\frac{x}{4}$

Question 14

Yoshi can mow a lawn in 45 minutes; Lucy takes 60 minutes to mow the same lawn. With their rates of mowing, how long would it take them to mow a lawn 14 times the area of the aforementioned lawn, if they started mowing the law together at the same time?

Accepted Answer

6 hours

Answer

6.33 hours

Answer

7 hours

Answer

6.25 hours

Question 15

Carlos is picking colored pencils from a large bin that contains only 480 red pencils, 240 green pencils, and 160 blue pencils. Without looking, Carlos pulls out 22 pencils. If the pencils were distributed randomly in the bin, how many pencils of each color is it most likely that he picked?

Accepted Answer

12 red, 6 green, 4 blue

Answer

8 red, 7 green, 7 blue

Answer

10 red, 7 green, 5 blue

Answer

11 red, 6 green, 5 blue

Question 16

If $R$, $S$, and $T$ are integers and $R+S$ and $T-S$ are both odd numbers, which of the following must be an even number?

Accepted Answer

$R+T$

Answer

$S$

Answer

$S+T$

Answer

$R$

Question 17

If $x, \, y$, and $z$ are numbers such that $xy + xz = 100$, what is the value of $\frac{x}{5}(3y + 3z) + 10$?

Accepted Answer

$70$

Answer

$130+2x$

Answer

$62$

Answer

$60+2x$

Question 18

A given triangle has exactly one angle that measures $90^{\circ}$. Which of the following can represent the three side lengths of the triangle?

Accepted Answer

$7,24,25$

Answer

$8,8,16$

Answer

$13,14,15$

Answer

$5,10,12$

Question 19

Which of the following could represent the lengths of a triangle?

Accepted Answer

$5,7,9$

Answer

$1,2,3$

Answer

$9,9,20$

Answer

$4,8,12$

Question 20

The radius of a circle is tripled. By how many times did the area of the circle increase?

Accepted Answer

$9$

Answer

$27$

Answer

$3$

Answer

$6$

Question 21

Here are nine dots. Connect them with four straight lines, without lifting your pen.

Accepted Answer

Think "outside" the box.

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