Mathematics | Self Test
 
 

 

A. Integer Arithmetic

Evaluate each of the following: Answer Result (leave this blank)
1a) 4 + 3 × 7 - 8 ÷ 2
1b) (-3)5 - 2(4 + -7)
2a) (-3)(-7)+6(-2)-(-8)5
2b) (-2)[(-2)(-2)(-2) - 2];


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B1. Exponents

Evaluate each of the following: Answer Result (leave this blank)
3a) 62
3b) 172
3c) 23
3d) (-4)2
3e) -34
3f) (-5)3
3g) 91/2


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B2. Radicals

If there is no real answer, enter "no" instead (without quotes).
Evaluate each of the following: Answer Result (leave this blank)
4a)
4b)
4c)
4d)
4e)


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C1. Fractions

For each of the following questions, give your answer as an improper fraction in lowest terms.
For example, for the question 3/4 + 7/4, the only acceptable answer is 5/2; not 2.5, 10/4, or 2 1/2.
Evaluate each of the following: Answer Result (leave this blank)
5a) 1/4 + 3/8
5b) 3/5 - 1/3
5c) 3/10 + 5/6
5d) 5/8 - 3/4
6a) 3/4 × 1/6
6b)25/3 × 7/10
6c)1/2 ÷ 3/4
6d)5/6 ÷21/3
7a) (1/2)(2/3) + (5/6)(2/5)
7b) (1/4)(3 - 3/5)


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C2. Decimals

Round off each answer to 3 decimal places: Answer Result (leave this blank)
8a) 5.72 - 3.72
8b)
8c)
9) An urn contains 42 red balls, 12 blue balls, and 21 green balls. What proportion of the balls in the urn are red (as a decimal)?


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D1. Percentages

Just give numbers here, do NOT use the % symbol. Answer Result (leave this blank)
10a) Express 0.25 as a percentage.
10b) Express 0.002 as a percentage.
10c) Express 28/35 as a percentage.
10d) Express 5.4 as a percentage.
11a) Express 99% as a decimal.
11b) Express 3.7% as a decimal.
11c) Express 150% as a decimal.
11d) Express ½% as a decimal.


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D2. Percentage Problems

Just give numbers here (no symbols). Answer Result (leave this blank)
12a) What is 35% of 40?
12b) What is 0.8% of 500?
12c) What is 25 increased by 40%?
13) A class has 24 women and 8 men. What percentage are men?
14) A stock selling at $40 on Monday morning went down by 5% on Monday, then went up by 10% on Tuesday. How much was it worth at the end of Tuesday?
15) If 3 students form 15% of a class, how many students are in the class?
16) A table costs $89 and a matching chair costs $49. A set of one table with four chairs is sold at 20% off when bought together. How much does the set cost?


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