Math Knowledge 100 Questions

Find the circumference of a circle with a diameter of 10 centimeters. a. 3.14 cm b. 31.4 cm c. 62.8 cm d. 6.28 cm e. none of the above

B. 31.4 cm

What is another way to write 4×4×4? a.3×4 b.8×4 c.4 3 d.3 4 e.8 3

C.4 3

Solve 5/6+3/4+(3/2*9/21) A. 66/52 B. 187/84 C. 120/57 D. 66/145 E. 123/124

B. 187/84

What is the decimal equivalent of 1/6 rounded to the nearest thousandth? a. 0.165 b. 0.666 c. 0.123 d. 0.167 e. 0.176

D. 0.167

0.15 is equal to a. 2/5 b. 3/20 c. 2/10 d. 1/20 e. 1.5/20

B. 3/20

The first digit of the square root of 112,092 is a. 1 b. 2 c. 3 d. 4 e. 5

C. 3

3/4 is equal to a. 0.25 b. 0.30 c. 0.34 d. 0.50 e. 0.75

E. 0.75

Examine (A), (B), and (C) and choose the best answer. (A) 0.5 (B) 5% (C) 1/5 a. (A) is greater than (B). b. (B) is greater than (A). c. (C) is greater than (A). d. (A) and (B) are equal. e. (B) times (A) is equal to (C).

A. (A) is greater than (B)

The number line- left is -5 then blank on the right and then center is 0 then blank on the right. What are the missing integers on this number line? a. -4 and 1 b. -6 and 1 c. -6 and -1 d. 4 and 9 e. 5 and 8

A. -4 and 1

The reciprocal of 10 is a. 0.1 b. 0.2 c. 0.5 d. 1.0 e. 2.0

A. 0.1

3/5= a. 0.60 b. 0.20 c. 0.50 d. 0.80 e. 0.90

A. 0.60

If x/54 = 2/9, then x is a. 12 b. 14 c. 18 d. 108 e. 118

A. 12

What is the probability of randomly drawing an odd number between 24 and 33 (inclusive)? A. 50% B. 66% C. 75% D. 80% E. 90%

A. 50%

Which of these is equivalent to 20°C? (F=9/5C+32) a. 68°F b. 95°F c. 45°F d. 19°F e. 70°F

A. 68°F

4 1/5 + 1 2/5 + 3 3/10 a. 8 9/10 b. 9 1/10 c. 8 4/5 d. 8 6/15 e. 9 5/10

A. 8 9/10

0.97 is equal to a. 97% b. 9.7% c. 0.97% d. 0.097% e. 0.0097%

A. 97%

**(means to what power) Simplify the following radical expression: Square root 3n(2) a. n square root 3 b. 9n c. n square root 9 d. square root 9 e. 3 square root n

A. n square root 3

Which of the following choices completes this number sentence? 5_____ = (10 × 2) + (5 × 3) a. ×(5+2) b. +(5+2) c. ×(5×2) d. +(5×2) e. +(5×3)

A. ×(5+2)

Find the volume of a pyramid with four congruent base sides. The length of each base side and the prism's height measure 2.4 feet. a. 46 cubic feet b. 4.6 cubic feet c. 4.8 cubic feet d. 48 cubic feet e. 1.2 cubic feet

B. 4.6 cubic feet

The hypotenuse of a right triangle whose legs are 3 feet and 4 feet is A. 4 B. 5 C. 6 D. 7 E. 8

B. 5

The sum of the interior angles of a pentagon is A. 360 degrees B. 540 degrees C. 720 degrees D. 900 degrees E. 1180 degrees

B. 540 degrees

**(means to what power) If 2(n)=8, what is the value of 3(n+1)? A. 70 B. 81 C. 95 D. 102 E. None of the above

B. 81

76 1/2 + 11 5/6 = a. 87 1/2 b. 88 1/3 c. 88 2/3 d. 88 5/6 e. 89

B. 88 1/3

What is the volume of a pyramid that has a rectangular base 5 feet by 3 feet and a height of 8 feet? (V = 1/3 lwh) **(means to what power) a .16 feet(3) b. 30 feet(3) c. 40 feet(3) d. 120 feet(3) e. 220 feet(3)

C.40 feet(3)

Examine (A), (B), and (C) and choose the best answer. **(means to what power) (A) n × n (B) n(2) (C) n(n) a. (A) plus (C) equals (B). b. (B) is greater than (C) but less than (A). c. (A) is less than (C). d. (A), (B), and (C) are all equal. e. (B) times (A) is equal to (C).

D. (A), (B), and (C) are all equal

**(means to what power) (-3)(3)= A. 9 B. -9 C. 27 D. -27 E. None of the above

D. -27

**(means to what power) 12.687x10(-4) is equal to A. 1.2687 B. .12687 C. .012687 D. .0012687 E. .00012687

D. .0012687

What is 3/8 equal to? a. 0.25 b. 0.333 c. 0.60 d. 0.375 e. 3.80

D. 0.375

1/6 + 7/12 + 2/ 3 = a. 10/24 b. 2 1/6 c. 1 5/6 d. 1 5/12 e. 2 5/6

D. 1 5/12

1 1/2 is equal to a. 0.50 b. 1.25 c. 2.50 d. 1.50 e. 0.150

D. 1.50

**(means to what power) 10(y)/10(z) equals A. 10(y/z) B. 10(yz) C. 10(y+z) D. 10(y-z) E. None of the above

D. 10(y-z)

Which of the following is divisible by both 7 and by 8? a. 63 b. 106 c. 114 d. 112 e. 78

D. 112

Which measurement uses the largest increment? a. perimeter b. area c. surface area d. volume e. They all use the same size increment.

D. Volume

Isadora wants to know the perimeter of the face of a building; however, she does not have a ladder. She knows that the building's rectangular facade casts a 36-foot shadow at noon, while a nearby mailbox casts a 12-foot shadow at noon. The mailbox is 4.5-feet tall. If the length of the façade is 54 feet, what is the measure of the façade's perimeter? a. p = 13.5 × 4 b. p = 54 × 4 c. p = 4.5(2) + 12(2) d. p = 13.5(2) + 54(2) e. p = 13.5 + 4

D. p = 13.5(2) + 54(2)

Which of the following statements is false? A triangle can have A. three equal angles B. one obtuse angle C. three equal sides D. two right angles E. three acute angles

D. two right angles

**(means to what power) The factors of 30x(2)-30 are A. (5x-6), (6x+5) B. (15x+5), (2x-6) C. (5x-6), (6x-5) D. (30x-5), (x+6) E. (5x+5), (6x-6)

E. (5x+5), (6x-6)

Simplify the following radical expression: 2 square root 7 - 3 square root 28 a. -6 square root 7 b. 5 square root 196 c. -5 square root 196 d. square root 7 e. -4 square root 7

E. -4 square root 7

Which of the measures represents an obtuse angle? a. 45° b. 60° c. 85° d. 90° e. 105°

E. 105°

What is the next logical choice following the below pattern? 2 4 12 48 ____ A. 96 B. 144 C. 192 D. 204 E. 240

E. 240

**(means to what power) The volume of a cylinder with radius b and height w is A. pie bw B. 2pie bw C. 2pie b(2)w D. 4pie b(2)w E. None of the above

E. None of the above

Which of the following is divisible by both 7 and by 8? a. 63 b. 106 c. 114 d. 112 e. 78

d. 7(8)(2) = 112.

What is 3/8 equal to? a. 0.25 b. 0.333 c. 0.60 d. 0.375 e. 3.80

d. Divide 3 by 8 in order to convert the fraction into a decimal. 3 ÷ 8 = 0.375.

0.97 is equal to a. 97% b. 9.7% c. 0.97% d. 0.097% e. 0.0097%

a. 0.97 multiplied by 100 is 97.

What is the decimal equivalent of 1/6 rounded to the nearest thousandth? a. 0.165 b. 0.666 c. 0.123 d. 0.167 e. 0.176

d. Divide the numerator by the denominator: 1 ÷ 6 = 0.166667. Round the answer to the thousandths place (three decimal places) to get the answer 0.167.

37.5 percent is equal to a. 3/8 b. 5/8 c. 4 3/4 d. 6 3/4 e. 3 7/5

a. 37.5% is the same as 37.5/100 . Multiply both the numerator and the denominator by 10 to move the decimal point, resulting in 375/1,000. Next, factor both the numerator and denominator to find out how far you can reduce the fraction: (5 * 5 * 5 * 3)/(5 * 5 * 5 * 8). If you cancel the three 5s that are in both the numerator and the denominator, you get 3/8.

3/5 = a. 0.60 b. 0.20 c. 0.50 d. 0.80 e. 0.90

a. Divide 3 by 5 to convert from a fraction into a decimal: 3 ÷ 5 = 0.60.

4 1/5 + 1 2/5 + 3 3/10 a. 8 9/10 b. 9 1/10 c. 8 4/5 d. 8 6/15 e. 9 5/10

a. Incorrect answers include adding both the numerator and the denominator and not converting fifths to tenths properly.

If x/54 = 2/9, then x is a. 12 b. 14 c. 18 d. 108 e. 118

a. Raise the fraction 2/9 to 54ths by multiplying both numerator and denominator by 6.

What are the missing integers on this number line? a. -4 and 1 b. -6 and 1 c. -6 and -1 d. 4 and 9 e. 5 and 8

a. The first box is one greater than -5; the second is one greater than 0.

Which of the following choices completes this number sentence? 5_____ = (10 × 2) + (5 × 3) a. × (5 + 2) b. + (5 + 2) c. × (5 × 2) d. + (5 × 2) e. + (5 × 3)

a. The total on the right is 35. On the left, you need an operation you can do on 5 to get 35. Multiplying by (5 + 2) does the trick.

Which of these is equivalent to 20°C? (F = (9/5)C + 32) a. 68°F b. 95°F c. 45°F d. 19°F e. 70°F

a. Using 20 for C: F = ((9/5) × 20) + 32. Therefore F = 36 + 32, or 68.

1/6 + 7/12 + 2/3 = a. 10/24 b. 2 1/6 c. 1 5/6 d. 1 5/12 e. 2 5/6

d. You have to convert all three fractions to twelfths before adding them.

3/4 is equal to a. 0.25 b. 0.30 c. 0.34 d. 0.50 e. 0.75

e. To convert a fraction to a decimal, divide the numerator, 3, by the denominator, 4. 3 ÷ 4 = 0.75.

0.15 is equal to a. 2/5 b. 3/20 c. 2/10 d. 1/20 e. 1.5/20

b. In the decimal, 0.15, the 5 falls in the hundredths place (two places to the right of the decimal). To convert this to a fraction, the 15 is placed over 100. Reduce, which gives you 3/20.

In this figure, angle POS measures 90°. What is the measure of angle ROQ? a. 45° b. 90° c. 180° d. 270° e. 360°

b. PQ and RS are intersecting lines. The fact that angle POS is a 90-degree angle means that PQ and RS are perpendicular, indicating that all the angles formed by their intersection, including ROQ, measure 90 degrees.

Which value of x will make the number sentence x + 32 ≤ 14 true? a. -16 b. -21 c. 12 d. 38 e. none of the above

b. Since the solution to the problem x + 32 = 14, x = -18. Choices a, c, and d are all too large to be correct.

76 1/2 + 11 5/6 = a. 87 1/2 b. 88 1/3 c. 88 2/3 d. 88 5/6 e. 89

b. The correct answer is 88 1/3.

How many inches are there in 3 1/3 yards? a. 126 b. 120 c. 160 d. 168 e. 313

b. To solve this problem, you must first convert yards to inches. There are 36 inches in a yard; and 1/3 of a yard is 12 inches; 36 × 3 = 108 + 12 = 120.

What is another way to write 7.25 × 10^3? a. 72.5 b. 725 c. 7,250 d. 72,500 e. 720,500

c. 10(10)(10) = 1,000; 1,000(7.25) = 7,250.

What is the volume of a pyramid that has a rectangular base 5 feet by 3 feet and a height of 8 feet? (V = (1/3)l * w * h) a. 16 feet^3 b. 30 feet^3 c. 40 feet^3 d. 120 feet^3 e. 220 feet^3

c. 5(3)(8) = 120; 120 ÷ 3 = 40.

Which of the following is equivalent to 202,436? a. 20,000 + 2,000 + 400 + 30 + 6 b. 2,000 + 40 + 300 + 6 c. 200,000 + 2,000 + 400 + 30 + 6 d. 200,000 + 2,000 + 4,000 + 300 + 6 e. 200,000 + 12,000 + 4,000 + 300 + 6

c. Choice a totals 22,436; choice b totals 2,346; choice d totals 206,306, and choice e totals 216,306.

What is another way to write 4 × 4 × 4? a. 3 × 4 b. 8 × 4 c. 4^3 d. 3^4 e. 8^3

c. The meaning of 43 is 4 times itself 3 times.

In a triangle, angle A is 70 degrees and angle B is 30 degrees. What is the measure of angle C? a. 90 degrees b. 70 degrees c. 80 degrees d. 100 degrees e. 120 degrees

c. The sum of the measure of the angles in a triangle is 180°; 70° + 30° = 100°; 180° - 100° = 80°.

What is the length of a rectangle if its width is 6 feet and its area is 108 square feet? a. 1.8 feet b. 10.5 feet c. 18 feet d. 16 feet e. 68 feet

c. Use the formula A = lw. or 108 = l × 6. Since the area is the length × the width of the rectangle, then dividing the area (108) by the width (6) will give you the length, 18 feet.

1 1/2 is equal to a. 0.50 b. 1.25 c. 2.50 d. 1.50 e. .150

d. 1 1/2 is a mixed number. To convert this into a decimal, first take the whole number (in this case, 1) and place it to the left of the decimal point. Then, take the fraction (in this case, 1/2) and convert it to a decimal by dividing the numerator by the denominator, yielding .50.

Find the circumference, in meters, of a circle with a radius of 25 centimeters. a. 1.57 m b. 157 m c. 15.7 cm d. 78.5 m e. 7.85 m

A. 1.57 m

**(means to what power) x-2/x(2)-6x+8 can be reduced to: A. 1/(x-4) B. 1/(x-2) C. (x-2)/(x+2) D. 1/(x+2) E. 1/(x+4)

A. 1/(x-4)

**[means to what power] Solve for x when: (2x)/7=2x[2] A. 1/7 B. 2/7 C. 2 D. 7 E. 14

A. 1/7

What number is 3 times 4% of 20? a. 2.4 b. 5.4 c. 24 d. 27 e. 32

A. 2.4

37.5 percent is equal to a. 3/8 b. 5/8 c. 4 3/4 d. 6 3/4 e. 3 7/5

A. 3/8

Examine (A), (B), and (C) and choose the best answer. (A) 2/5 of 100 (B) 1/2 of 80 (C) 1/8 of 160 a. (A) is less than (B) or (C). b. (A) and (B) are equal. c. (B) and (C) are equal. d. (B) is greater than (A) but less than (C). e. (B) times (A) is equal to (C).

B. (A) and (B) are equal

**(means to what power) Factor x(2)+7x+10 A. (2x+2)(x+5) B. (x+5)(x+2) C. (x+2)(2x+2) D. (2x+5)(x+5) E. (2x+)(x+10)

B. (x+5)(x+2)

The value in -1/9√(81) is equal to A. 0 B. -1 C. 1 D. -9 E. 9

B. -1

Which value of x will make the number sentence x + 32 ≤ 14 true? a. -16 b. -21 c. 12 d. 38 e. none of the above

B. -21

**(means to what power) 10(5) *10(6) *10(7)= A. 10(15) B. 10(18) C. 10(21) D. 10(24) E. 10(30)

B. 10(18)

How many inches are there in 3 1/3 yards? a. 126 b. 120 c. 160 d. 168 e. 313

B. 120

What is the distance, in miles, around a circular course with a radius of 49 miles? (pi = 22/7) a. 154 miles b. 308 miles c. 462 miles d. 539 miles e. 616 miles

B. 308 miles

What number plus 2 times the same number equals 99? a. 16 b. 33 c. 66 d. 297 e. 365

B. 33

The figure is an X. O is the center. In this figure, angle POS measures 90°. What is the measure of angle ROQ? a. 45° b. 90° c. 180° d. 270° e. 360°

B. 90°

Roberta draws two similar pentagons. The perimeter of the larger pentagon is 93 feet; one of its sides measures 24 feet. If the perimeter of the smaller pentagon equals 31 feet, then the corresponding side of the smaller pentagon measures a. 5s = 31 b. 93s = 24 × 31 c. 93 × 24 = 31s d. 5 × 31 = s e. 31 × 24 = s

B. 93s = 24 × 31

5v-u=-2 and -v+9u=18, then the simultaneous solution of the given equation is: A. u=3, v=9 B. u=2, v=0 C. u=1, v=-9 D.u=-2, v=-36 E.u=3, v=-15

B. u=2, v=0

√(28) - √(7) reduces to A. √(4) B. √(7) C. 3√(7) D. √(21) E. -√(35)

B. √(7)

Examine (A), (B), and (C) and choose the best answer. **(means to what power) (A) 7(2) (B) 4(3) (C) 3(2) + 6 a. (A) and (B) are equal. b. (A) is greater than (B). c. (B) minus (A) is equal to (C). d. (B) and (C) are equal to (A). e. (B) times (A) is equal to (C).

C. (B) minus (A) is equal to (C)

2/3*3/4*4/5*5/6*6/7*7/8= A. 1/16 B. 1/8 C. ¼ D. ½ E. None of the above

C. 1/4

17/20 + 6/100 + 15/50 is equal to A. 43/50 B. 111/100 C. 121/100 D. 83/50 E. 289/25

C. 121/100

What number is 42 less than 1/5 of 820? a. 98 b. 112 c. 122 d. 210 e. 222

C. 122

What is the length of a rectangle if its width is 6 feet and its area is 108 square feet? a. 1.8 feet b. 10.5 feet c. 18 feet d. 16 feet e. 68 feet

C. 18 feet

The sum of the interior angles of a triangle is always A. 90 degrees B. 120 degrees C. 180 degrees D. 320 degrees E. 360 degrees

C. 180 degrees

Which of the following is equivalent to 202,436? a. 20,000 + 2,000 + 400 + 30 + 6 b. 2,000 + 40 + 300 + 6 c. 200,000 + 2,000 + 400 + 30 + 6 d. 200,000 + 2,000 + 4,000 + 300 + 6 e. 200,000 + 12,000 + 4,000 + 300 + 6

C. 200,000 + 2,000 + 400 + 30 + 6

Solve for x using the following two equations: 2x+4y=10 and 9x-4y=20 A. x=21/15 B. x=40/21 C. x=30/11 D. x=8/9 E. x=29/13

C. 30/11

If w=4c then (3/4)w= A. 3/ c B. 4/3c C. 3c D. c/3 E. c/4

C. 3c

What number is 6 less than 2/5 of 25? a. -4 b. 1 c. 4 d. 9 e. 12

C. 4

Look at this series: 1/6, 1/3, 1/2, 2/3, . . . What number should come next? a. 1 b. 4/6 c. 5/6 d. 8/9 e. 7/12

C. 5/6

What is another way to write 7.25 ×10(3)? **(means to what power) a. 72.5 b. 725 c. 7,250 d. 72,500 e. 720,500

C. 7,250

In a triangle, angle A is 70 degrees and angle B is 30 degrees. What is the measure of angle C? a. 90 degrees b. 70 degrees c. 80 degrees d. 100 degrees e. 120 degrees

C. 80 degrees

What are the next two choices following the below pattern? A R C S E T G ___ ___ A. UH B. HI C. UI D. IU E. IH

C. UI

**(means to what power) n(5)/n(2) = a. n7 b. n2 c. n3 d. 2n3 e. 7n

C. n3

The expression 5 factorial equals a. 1/4 b. 16 c. 50 d. 120 e. 500

D. 120

What number added to 15% of 30 equals 20? a. -25 b. 4.5 c. 12 d. 15.5 e. 25.5

D. 15.5

**(means to what power) 8xy(2)/2xy = a. 2xy b. 4x(2) c. 16y d. 4y e. 4y(2)

D. 4y