Mathematics Practice Questions Set #1

Simplify the expression (2√5 - 4√5)². To which of the following subsets of the real numbers does this simplified expression belong?

Whole Numbers, Irrational Numbers, Integers, Natural Numbers

• Whole numbers and Integers only

• Irrational numbers only

• Irrational numbers, Integers and Natural numbers only

• Whole numbers, Integers and Natural numbers only

How many prime numbers are less than 100?

• 15

• 25

• 35

• 51

Which pair of numbers has a least common multiple with the largest value?

• 12 and 18

• 16 and 24

• 15 and 18

• 6 and 28

What is the 1st term of a sequence if the arithmetic sequence has an 8th term of 49 and a 13th term of 119?

• -49

• 14

• -7

• 1

What is the sum of this geometric series: ¹/₂ + ¹/₄ + ¹/₈ + ¹/₁₆ + ...

• 1

• ¹⁵/₁₆

• π

• √2

In a concert hall, Row A has 32 seats, row B has 35 seats, and row C has 38 seats. Each successive row is labeled in order alphabetically and has 3 additional seats as the pattern indicates.

How many seats are in row X?

• 98

• 101

• 104

• 107

Which of these expressions shows the distance between 1 and √2 on the number line?

• |√2 + π|

• |√2|-|π|

• |²√2-π|

Find the value of the expression -3x²y when x = -4 and y = −6?

• -288

• -144

• 144

• 288

The inventory of a bookstore is given in the chart to the left. What is the value of all of the merchandise that the bookstore owns?

• $48.25

• $53.00

• $62.50

• $70.75

The ratio of green to red to blue colored candies in a bowl is 4 to 3 to 9. If there are 196 combined green and red candies, how many blue candies are there?

• 207

• 224

• 252

• 448