Mathematics Knowledge





The 4th root of 256 is:

(A) 4✔

(B) 8

(C) 16

(D) 24

The cube of 5 is

(A) 125✔

(B) 25

(C) 15

(D) 50

2.5 × 33 =

(A) 22.5

(B) 75.0

(C) 67.5✔

(D) 675.0

The fourth root of 16 is

(A) 4

(B) 1

(C) 3

(D) 2✔

If x = 8, what’s the value of y in the equation y = (x2 ÷ 4) – 2?

(A) 14✔

(B) 16

(C) 18

(D) 20

What’s the equation of a line that passes through points (0, –1) and (2, 3)?

(A) y = 2x – 1✔

(B) y = 2x + 1

(C) x = 2y – 1

(D) x = 2y + 1

What is the perimeter of the following rectangle?

(A) 12 m

(B) 18 m

(C) 24 m✔

(D) 12 m

x + 9 = 13, Find x = ?

(A) 3

(B) 4✔

(C) 5

(D) 13

3² + 4(5 – 2) = ?

(A) 21✔

(B) 36

(C) 39

(D) 40

The square root of 64 =

(A) 4

(B) −8✔

(C) 9

(D) −9

What is the value of the following expression if x = 2 and y = 4? 2x³y²

(A) 52

(B) 106

(C) 256✔

(D) 512

 Factor the following expression: y² − 16y + 48

(A) (y − 1)(y +48)

(B) (y − 4)(y − 12) ✔

(C) (y − 4)(y + 4)

(D) (y +1)(y − 16)

Solve for x. 12x + 6 = 8x +10

(A) x = 1✔

(B) x = 2

(C) x = 4

(D) x = 6

x¹² / x4

(A) x−4

(B) x8✔

(C) x18

(D) x−16

What is the circumference of the following circle?

 

(A) 6.56 m

(B) 12.56 m

(C) 25.12 m✔

(D) 35.12 m

If lines A and B are parallel and are intersected by line C and ∠2 is 30°, what is the measure of ∠7?

(A) 30°✔

(B) 50°

(C) 112°

(D) 130°

What is the volume of a cylinder with a height of 15 m and a radius of 5 m?

(A) 235.50 m³

(B) 1,177.50 m³✔

(C) 1,280.25 m³

(D) 1,340.25 m³

(12 yards + 14 feet) ÷ 5 =

(A) 12 feet

(B) 5(1/5) feet

(C) 10 feet✔

(D) 2(1)/2 yards

1.5 × 103 =

(A) 45

(B) 150

(C) 1,500✔

(D) 15

Which of the following is a prime number?

(A) 27

(B) 11✔

(C) 8

(D) 4

What’s the mode of the following series of numbers? 4 4 8 8 8 10 10 12 12

(A) 9

(B) 8✔

(C) 11

(D) 10

x3 · x4 =

(A) x12

(B) 2x7

(C) 2x12

(D) x7✔

(900 × 2) ÷ 6 =

(A) 30

(B) 300✔

(C) 150

(D) 3,000

In the following right triangle, what is the length of side AB?

(A) 3 m

(B) 5 m✔

(C) 7 m

(D) 12 m

If x = 2, then xx(x) =

(A) 8✔

(B) 2xx

(C) 4

(D) 6

If (5 + 1)(6 ÷ 3)(8 – 5) = (3 + 3)x, then x =

(A) 12

(B) 3

(C) 4

(D) 6✔

If a circle has a radius of 12 feet, what’s its circumference most nearly?

(A) 24 feet

(B) 72 feet

(C) 75 feet✔

(D) 36 feet

(x + 4)(x + 2) =

(A) x2 + 6x + 6

(B) x2 + 8x + 8

(C) x2 + 8x + 6

(D) x2 + 6x + 8✔

If a = 4, then a3 ÷ a =

(A) 4

(B) 12

(C) 64

(D) 16✔

Solve: 5!

(A) 25

(B) 125

(C) 120✔

(D) 15

An aquarium measures 16 inches long x 8 inches deep x 18 inches high. What’s its volume?

(A) 2,304 cubic inches✔

(B) 128 cubic inches

(C) 42 cubic inches

(D) 288 cubic inches

The sum of the measures of the angles of a trapezoid is

(A) 360 degrees. ✔

(B) 540 degrees.

(C) 180 degrees.

(D) 720 degrees.

Two points -4.6 and 4.8 are on a number line. What is the distance, to the nearest tenth, between these two points?

(A) 9.1

(B) 10.2

(C) 9.4✔

(D) 8.4

Victoria baked a cake and cut it into thirty-six pieces. Her brother ate eight-ninths of the cake. How many pieces were left?

(A) 4✔

(B) 8

(C) 12

(D) 16

√81 =

(A) 6

(B) 8

(C) 9✔

(D) 5

What is the sum of the prime numbers below? 10, 13, 16, 25, 19, 47

(A) 23

(B) 39

(C) 79✔

(D) 66

In the following equilateral triangle, what is the measure of ∠1?

(A) 30°

(B) 45°

(C) 60°✔

(D) 90°

 

What is the diameter of the following circle?

(A) 40 cm

(B) 80 cm

(C) 160 cm✔

(D) 640 cm

Rounded to the nearest whole number, the square root of 15,479,652 is:

(A) 3934✔

(B) 34652

(C) 99

(D) 125

10% of 10% of 100 is:

(A) 1✔

(B) 9

(C) 10

(D) 20

Convert 36% to a fraction

(A) 1/2

(B) 2/3

(C) 9/25✔

(D) 3/4

How many digits are left of 0 in the square root of 15,245,478 is:

(A) 5

(B) 6

(C) 7

(D) 4✔

Angel A is 3 times its Supplement Angle B, what is the measurement of Angle A?

(A) 45°

(B) 135°✔

(C) 270°

(D) 35°

The supplement of a 30° angle is:

(A) 15°

(B) 150°✔

(C) 60°

(D) 120°

Grace answered 14 out of the 20 questions correctly. What percentage of the total number of questions was she able to answer correctly?

(A) 14%

(B) 70%✔

(C) 77%

(D) 80%

Which of the following statements is false?

(A) A trapezoid is a quadrilateral

(B) Interior angles of a trapezoid add up to 360°

(C) Two sides of a trapezoid are always parallel

(D) area of a trapezoid = ½ b x h✔

Which is of the following NOT true?

(A) A rectangle is a parallelogram.

(B) A rhombus is a square. ✔

(C) A square is a rectangle.

(D) A rectangle is a rhombus.

Two lines are said to be ________ if they do not intersect.

(A) skew

(B) transversal

(C) either parallel or skew

(D) parallel✔

Which is of the following NOT true?

(A) A quadrilateral is a rectangle if and only if all angles are congruent.

(B) A square is a regular quadrilateral.

(C) A square is a rhombus with unequal diagonals. ✔

(D) A rhombus is an equiangular  parallelogram.

Half the cube of 4 is:

(A) 16

(B) 8

(C) 22

(D) 32✔

If it takes 2 minutes to fill your gas tank 2/3 full, how long does it take to fill it up?

(A) 6 minutes

(B) 4 minutes

(C) 5 minutes

(D) 3 minutes✔

One third the cube of 3 is:

(A) 16

(B) 9✔

(C) 22

(D) 32

If ∠1 is 34°, what is the measure of ∠2?

(A) 56°

(B) 110°

(C) 146°✔

(D) 180°

What is the area of the following triangle?

 

(A) 8 ft²

(B) 12 ft²

(C) 15 ft²

(D) 16 ft²✔

Side A of a square measure 4 “. What is the length of the diagonal?

(A) 4√2✔

(B) 16

(C) 32

(D) 18

 √400 = x2, what is x?

(A) 30

(B) 2√5✔

(C) 20

(D) 40