Intermediate Math

1.

Two angles of a triangle each measure 70°. What is the measure of the third angle in degrees?

  • A. 40°
  • B. 80°
  • C. 100°
  • D. 120°
  • E. 140°

2.

If Jack needs 2 ½ pints of cream to make a dessert. How many pints will he need to make 3 desserts?

  • A. 2 ½
  • B. 3
  • C. 4
  • D. 5
  • E. 7 ½

3.

A discount store takes 50% off of the retail price of a desk. For the store's holiday sale, it takes an additional 20% off of all furniture. The desk's retail price was $320. How much is the desk on sale for during the holiday sale?

  • A. $107
  • B. $114
  • C. $128
  • D. $136
  • E. $192

4.

Which vacation destination is most common for the students?

  • A. Beach
  • B. Historical Sites
  • C. Cruises
  • D. Mountains
  • E. Other

5.

If 500 students attend Washington Middle School, how many are going to the mountains for vacation?

  • A. 25
  • B. 60
  • C. 75
  • D. 100
  • E. 125

6.

If a ¼ of a teaspoon is 1 ml, then how many milliliters are in 6 teaspoons?

  • A. 10 ml
  • B. 12.5 ml
  • C. 15 ml
  • D. 20 ml
  • E. 24 ml

7.

Which of the following is the correct graph for x≥3 or x≤ -2?

  • A. Line A
  • B. Line B
  • C. Line C
  • D. Line D
  • E. Line E

8.

A scale on a map states that every ¼ of an inch represents 20 miles. If two cities are 3 ½ inches apart, how many miles are actually between the two cities?

  • A. 14 miles
  • B. 20 miles
  • C. 125 miles
  • D. 230 miles
  • E. 280 miles

9.

Michelle wants to expand her flowerbed by increasing the length and width each by 2 ft. What will the new area of the flowerbed be, if L and W represent the original dimensions of the flowerbed's length and width?

  • A. 2 LW
  • B. 2 (L+W)
  • C. 2L +2W
  • D. (L+2) (W+2)
  • E. LW/2

10.

Melinda's lights went out. She has 3 pairs of red socks in her drawer, 2 pairs of black socks, and 5 pairs of white socks. What is the minimum number of pairs she must remove from the drawer to ensure that she has a pair of each color?

  • A. 3
  • B. 5
  • C. 7
  • D. 9
  • E. 10

11.

Which of the following fractions are correctly placed from the least in value to the greatest in value?

  • A. 1/4, 17/25, 3/4, 11/16
  • B. 17/25, 1/4, 11/16, 3/4
  • C. 1/4, 17/25, 11/16, 3/4
  • D. 1/4, 17/25, 3/4, 11/16
  • E. 3/4, 17/25, 11/16, 1/4

12.

What is the mathematical average of the number of days in a typical year, the number of days in a week, and the number of hours in a day?

  • A. 100
  • B. 115
  • C. 132
  • D. 158
  • E. 224

13.

1.75 x 105=

  • A. 175,000
  • B. 17,500
  • C. 1,750
  • D. 0.00175
  • E. 0.000175

14.

The electric company charges 3 cents per kilowatt-hour. George used 2800 kilowatt-hours in April, 3200 kilowatt-hours in May, and 3600 kilowatt-hours in June. What was his average cost of electricity for the 3 months?

  • A. $72
  • B. $88
  • C. $96
  • D. $102
  • E. $113

15.

On a map, 1/3 inch equals 15 miles. The distance between two towns on a map is 3 2/3 inches. How many miles are actually between the two towns?

  • A. 11
  • B. 16
  • C. 88
  • D. 132
  • E. 165

16.

James invested $4,000 at 5% interest per year; how long will it take him to earn $200 in simple interest?

  • A. 1 year
  • B. 2 years
  • C. 3 years
  • D. 4 years
  • E. 5 years

17.

John pays $650 in property tax. What is the assessed value of his property if property taxes are 1.2% of assessed value?

  • A. $28,800.27
  • B. $41,328.90
  • C. $43,768.99
  • D. $54,166.67
  • E. $64,333.39

18.

A lamp is marked with a sale price of $23.80, which is 15% off of the regular price. What is the regular price?

  • A. $26
  • B. $28
  • C. $30
  • D. $32
  • E. $43

19.

A mattress store sells their stock for 15% off of retail. If someone pays cash, they take an additional 10% off of the discounted price. If a mattress's retail price is $750, what is the price after the store discount and the cash discount?

  • A. $550.75
  • B. $562.50
  • C. $573.75
  • D. $637.50
  • E. $675.00

20.

85% of what number is 136?

  • A. 160
  • B. 170
  • C. 180
  • D. 190
  • E. 220

21.

A building that is 150 ft tall casts a shadow of 20 feet long. At the same time a tree casts a shadow of 2 ft. How tall is the tree?

  • A. 10
  • B. 15
  • C. 20
  • D. 25
  • E. 30

22.

Which of the following is a true statement?

  • A. The product of two negative numbers is negative.
  • B. The product of one negative and one positive number is positive.
  • C. When dividing a positive number by a negative number, the results are negative.
  • D. When dividing a negative number by a positive number, the results are positive.
  • E. When dividing a negative number by a negative number the results are negative.

23.

What is the fractional equivalent of 12.5%?

  • A. 1/4
  • B. 2/9
  • C. 1/5
  • D. 1/8
  • E. 2/7

24.

Change 4 3/5 to an improper fraction.

  • A. 23/5
  • B. 7/5
  • C. 12/20
  • D. 20/12
  • E. 12/5

25.

The fine for a driver riding in the carpool lane without any passengers is $133. A driver is issued a bench warrant for $2,294.25, which includes a 15% fee for late charges and court costs. How many tickets has the driver not paid?

  • A. 10
  • B. 12
  • C. 13
  • D. 14
  • E. 15

26.

Brett started a race at 6:30 A.M., and he did not cross the finish line until 1:05 P.M. How long did it take for Brett to finish the race?

  • A. 6 hours and 15 minutes
  • B. 6 hours and 35 minutes
  • C. 7 hours and 5 minutes
  • D. 7 hours and 15 minutes
  • E. 7 hours and 35 minutes

27.

What is the fraction equivalent of the shaded region in the following circle?

  • A. 2/3
  • B. 3/8
  • C. 4/5
  • D. 3/4
  • E. 7/16

28.

Multiply 2.345 x 0.023

  • A. 0.53935
  • B. 0.053935
  • C. 0.0053935
  • D. 10.195652
  • E. 101.95652

29.

A men's basketball team won 24 games and lost 32. What is the ratio of games lost to the number of games played?

  • A. 32:24
  • B. 4:3
  • C. 3:4
  • D. 4:7
  • E. 3:7

30.

Which of the following choices is equivalent to 5/6?

  • A. 5/12
  • B. 10/6
  • C. 20/30
  • D. 15/24
  • E. 15/18

31.

Jill earns $120 for 8 hours of work. At the same pay rate, how much will she earn for 15 hours of work?

  • A. $180
  • B. $225
  • C. $245
  • D. $280
  • E. $310

32.

Which two years were the least number of tires sold?

  • A. 1998 and 1999
  • B. 1998 and 2000
  • C. 1998 and 2001
  • D. 1999 and 2000
  • E. 2000 and 2001

33.

Which year did the store sell 1/3 more tires than the year before?

  • A. 1998
  • B. 1999
  • C. 2000
  • D. 2001
  • E. This did not occur during the 4 year span.

34.

What was the average number of tires sold by the store from 1998 to 2001?

  • A. 9,000
  • B. 9,375
  • C. 9,545
  • D. 9,770
  • E. 9,995

35.

A salesman sold 20 cars in the month of July, and 40 cars the month of August. What is the percent increase in the number of cars the salesman sold?

  • A. 50%
  • B. 100%
  • C. 150%
  • D. 200%
  • E. 250%

36.

If one side of a square is 5 units, what is the area of the square?

  • A. 10
  • B. 15
  • C. 20
  • D. 25
  • E. 30

37.

If 8x + 5 = 21, then 3 x + 4 =

  • A. 2
  • B. 5
  • C. 10
  • D. 16
  • E. 17

38.

In triangle ABC, AB=BC and (C's measure is 65°.) What is the measure of angle B?

  • A. 40°
  • B. 50°
  • C. 60°
  • D. 65°
  • E. 75°

39.

If the average arithmetic mean of 8, 12, 15, 21, x and 11 is 17 then what is x?

  • A. 3
  • B. 15
  • C. 17
  • D. 35
  • E. 42

40.

Sarah has a 20 dollar bill and a 5 dollar bill. If she purchases two items, one for $11.23 and the other for $8.32, then how much money does she have left over?

  • A. $3.75
  • B. $5.45
  • C. $6.34
  • D. $7.77
  • E. $8.12