Free Printable KB Math Review

1.

1, 5, 7, 11, 11, 11, 13, 16, 17, 18

With the given data, which of the following is true?

a)

Mean and Mode are equal

b)

Mode and Median are equal

c)

Median and Mean are equal

d)

Mean, Median and Mode are equal

2.

$f\left(x\right)=\ 2x+1$
$g\left(x\right)=5x-3$

Find $(f⋅g)(x)$

a)

$10x^2+x-3$

b)

$10x^2-x+3$

c)

$10x^2-x-3$

d)

$10x^2+x+3$

3.

What is the surface area of the cube in $cm^2$ if its side is 6 cm? Write your answer in numerical form.

(a)

4.

It is an ancient algorithm for finding all prime numbers up to any given limit.

(a)

5.

It is a positive integer that is equal to the sum of its proper divisors.

(a)

6.

The bar placed on top of the roman numerals to multiply them by 1,000 and the fraction bar have the same name. They both called what?

(a)

7.

How many 1cm cubes could fit inside a wooden box with dimensions of 10cm by 5cm by 2cm

(a)

8.

÷

What is the name of the this mathematical symbol?

(a)

9.

The legs of a right triangle are 6 and 8. What is the length of the hypotenuse?

(a)

10.

∞

The infinity sign is also known as what in algebraic geometry?

(a)

11.

What is the degree of 7x + 1?

a)

1

b)

7

c)

2

d)

0

12.

What term BEST describes 2 angles with 90º as the sum of their measurements?

a)

Right

b)

Straight

c)

Complementary

d)

Supplementary

13.

What kind of line is y=3?

a)

Vertical

b)

Horizontal

c)

Slanted

d)

Curved

14.

Find the exterior angle of a heptagon.

a)

30 degrees

b)

49 degrees

c)

51 degrees

d)

60 degrees

15.

What is the slope of y = -4x + 1?

a)

1

b)

-4

c)

4

d)

1

16.

What numbers are added when like variable terms are combined?

a)

Variables

b)

Integers Only

c)

Numerical Coefficients

d)

Exponents

17.

How many ways can a group of 12 choose a committee of 9?

a)

21

b)

108

c)

220

d)

200

18.

Write in the simplest radical form: √200

a)

10√2

b)

2√10

c)

5√8

d)

100√2

19.

If f(x) = 3x^2 + 2x - 1, what is f(-2)?

a)

7

b)

1

c)

-1

d)

-7

20.

How do you write an algebraic equation for "the opposite of a number added to 3 is 16"?

a)

-(n+3)=16

b)

-(n)+3=16

c)

-n+3=-16

d)

N+3=16

21.

If a triangle has a base of 8 inches and a height of 4.5 inches, what is its area?

a)

$18\ in$

b)

$36\ in^2$

c)

$18\ in^2$

d)

$36\ in$

22.

What is the sum of 7 consecutive composite numbers starting from 4?

a)

112

b)

63

c)

79

d)

49

23.

Who first calculated $\pi$ (pi) ?

a)

Carl Friedrich Gauss

b)

Archimedes of Syracuse

c)

Euclid of Alexandria

d)

Pythagoras

24.

What is the remainder when $P\left(x\right)=2x^2-7x-13$ is divided by $2x-1$ ?

a)

$-4$

b)

$-18$

c)

$-9$

d)

$-16$

25.

What is the symbol consisting of a line with dots above and below, which is also known as a division sign?

a)

Obelus

b)

Radical

c)

Vinculum

d)

Tilde

26.

A card is drawn from a pack of 52 cards. What is the probability of getting a queen?

a)

$\frac{1}{26}$

b)

$\frac{1}{52}$

c)

$\frac{3}{13}$

d)

$\frac{1}{13}$

27.

If $1+2+3+4+...+n=153$ , what is $n$ ?

a)

15

b)

16

c)

17

d)

18

28.

If varies inversely as and when , what is the constant of variation ?

a)

100

b)

121

c)

4

d)

6

29.

Find a₂₁ of the geometric sequence given that a₃ = 20 and a₆ =160?

a)

$5\ 424\ 880$

b)

$4\ 242\ 580$

c)

$5\ 242\ 880$

d)

$4\ 242\ 808$

30.

Evaluate $\sum_{n=8}^{13}\left(2000n\right)$ .

a)

100 000

b)

154 000

c)

126 000

d)

76 000

31.

In the wild, there is a family of 30,000 Mockingjays that are being hunted down at a rate of 11% per day. How many Mockingjays will be alive after a week?

(a)

32.

Ms. Araneta wishes to apply as a teacher at Blue Bird High. The school offered Ms. Araneta a salary of ₱7,800 for the first year. From there, her salary increases by 7% of the previous year's salary for each succeeding years. What will be her salary on her 6th year? (Round off to the nearest whole number.)

(a)

33.

The sum of 3 consecutive prime integers is 31. What is the value of the biggest number?

(a)

34.

Mr. Shar owns a Sports Ball Shop where he sells a wide variety of sports balls. To convince one of his customers to purchase a soccer ball, he drops it from a height of 350 cm. The soccer ball then bounced 200 cm, then bounced again 140 cm, and so on. How high will the ball reach after the 10th bounce?

(a)

35.

During a hot summer day, Nimbus wants to fill a swimming pool with water and take a refreshing dip. He uses two different faucets, one less powerful than the other, to fill the swimming pool. The less powerful faucet takes 3 hours longer than the other faucet to fill the swimming pool on its own. It takes 1 hour, 15 minutes, and 45 seconds to fill the entire pool if both faucets are used. How many hours will it take for the more powerful faucet to fill the swimming pool on its own? Round off the answer to the nearest hundredths.

(a)

36.

Which of the following is not a rational number?

a)

$\frac{\sqrt{3}}{2}$

b)

$\frac{\sqrt{4}}{3}$

c)

$\frac{22}{7}$

d)

$-2$

37.

Which of the following correctly describes the set $\left\{...,-7,-6,-5,-4,-3,-2,-1,0,1,2,...\right\}$ ?

a)

The set of whole numbers

b)

The set of integers

c)

The set of whole numbers greater than or equal to -7 and less than or equal to 2

d)

The set of integers greater than or equal to -7 and less than or equal to 2

38.

Write the decimal number $0.00003819$ in scientific notation.

a)

$0.3819×10^{-4}$

b)

$3.819×10^{-5}$

c)

$3.819×10^{-4}$

d)

$38.19×10^{-6}$

39.

A full box of 250 tissues has a total mass of 335g.

The mass of the cardboard box holding the tissues is 10g.

What is the mass of one tissue?

a)

$1.3\ g$

b)

$1.38\ g$

c)

$1.34\ g$

d)

$1.4\ g$

40.

Michael thinks of a number, adds $11$ , and then multiplies the result by $8$ . The answer is greater than $24$ . If the number Michael thinks of is represented by $z$ , how can this be written using algebra?

a)

$8(z+11)≥24$

b)

$8z+11>24$

c)

$8(z+11)<24$

d)

$8(z+11)>24$

41.

Write in exponential form.
log₂32 = 5

a)

2^-5 = 32

b)

2³² = 5

c)

2⁵ = 32

d)

32⁵ = 2

42.

Rewrite 3⁴ = 81 in logarithmic form.

a)

log₃4 = 81

b)

log₈₁3 = 4

c)

log₃81 = 4

d)

log₄81 = 3

43.

Combine like terms: 3w - 8k + 12w + w - 5k

a)

15w - 13k

b)

16w - 13k

c)

16w + 3k

d)

15w + 3k

44.

Combine like terms:

-m + 17m - 12c + 3m + 4c + 21c

a)

19m + 13c

b)

21m + 37c

c)

20m + 12c

d)

19m - 12c

45.

$Simplify:\ \ 5x^2\ +\ 14y\ -9y\ +\ x^2\ -7x^2-y$

a)

$13x^2+\ 24y$

b)

$-13x^2\ +\ 13y$

c)

$-x^2\ +\ 4y$

d)

$x^2\ -\ 4y$

46.

$Simplify:\ \ -6h^2\ +2j\ -\ 14h^2-\ h^2\ +\ 15j$

a)

$-20h^2+\ 13j$

b)

$20h^2\ +\ 17j$

c)

$-21h^2\ +\ 17j$

d)

$-21h^4\ +\ 17j$

47.

The three lengths of an isosceles triangle are 23g - 5, 16g + 7 and 14g + 12. What is the perimeter of the triangle in terms of g?

a)

52g + 13

b)

54g + 17

c)

55g - 12

d)

53g + 14

48.

Factor Completely:
x² - 36

a)

(x + 9)(x - 4)

b)

(x - 6)(x - 6)

c)

(x - 9)(x + 4)

d)

(x + 6)(x - 6)

49.

What do you call a polynomial that cannot be factored?

a)

FOIL

b)

Simplified

c)

Prime

d)

Proper

50.

Factor:
x² - 49

a)

(x + 7)(x - 7)

b)

(x + 7)²

c)

(x - 7)²

d)

(x+7)(x-1)

51.

6m² + 16m

a)

2(3m² + 8m)

b)

2m(3m + 8)

c)

2m(3m - 8m)

d)

not factorable

52.

Factor the following
12x³y⁴z²+14x⁴yz-6x⁵y⁴z²

a)

2x³yz(6xy³z+7x-3x²y³z)

b)

6x³yz(2y³z+2x-1x²y³z)

c)

2x²y²z(6y³z+7x-3x²y³z)

d)

2xyz(6x²y³z+7xyz-3x²y³z)

53.

Factor:
p² - 14p

a)

p(1 - 14)

b)

2p(p - 7)

c)

p²(1-14)

d)

p(p - 14)

54.

Which of the following binomials is not a difference of squares?

a)

x² - 64

b)

x² - 16

c)

x²+ 400

d)

x² - 100

55.

Which of the following is a correct rewriting or form of the binomial, x² - 169 ?

a)

(x + 13) (x - 13)

b)

(x + 13)²

c)

(x - 14) (x - 13)

d)

All of the above

56.

Factor x³ - 4x.

a)

(x-4)(x²-4)

b)

x(x-2)(x+2)

c)

x(x-4)

d)

(x-2)(x+2)

57.

4x²- 64y²

a)

Prime

b)

( 2x - 32y) (2 x + 32y)

c)

( 2x - 8y) (2 x - 8y)

d)

( 2x - 8y) (2 x + 8y)

58.

4x²- 64y²

a)

Prime

b)

( 2x - 32y) (2 x + 32y)

c)

( 2x - 8y) (2 x - 8y)

d)

( 2x - 8y) (2 x + 8y)

59.

What is the common ratio of this sequence ? 5, 25, 125, ...

a)

4

b)

2

c)

5

d)

6

60.

What is the 5th term of the sequence 7, 14, 28, ...?

a)

72

b)

48

c)

56

d)

112

61.

Which of the following is a geometric sequence?

a)

2, 4, 5, . . .

b)

2, 6, 18, . . .

c)

2, 4, 6, . . .

d)

10, 20, 200, . . .

62.

What is the common ratio of the geometric sequence -1, 6, -36, 216, ...?

a)

-6

b)

6

c)

12

d)

-4

63.

Solving for the nth term of geometric sequence, given thata₁ = 4 and r= 6, what is the value of the 4th term?

a)

144

b)

864

c)

124

d)

764

64.

What is the common ratio of the geometric sequence -2, -8, -32, -128, ...?

a)

-4

b)

4

c)

-2

d)

2

65.

Divide $x^2-14x+48$ by $x-8$ . What is the quotient?

a)

$x+6$

b)

$x-6$

c)

$x-7$

d)

$x-8$

66.

What is the area of the triangular field in meters?

a)

60 000 square meters

b)

75 000 square meters

c)

100, 000 square meters

d)

120, 000 square meters

67.

Ken walks 2,250 m from his home to school at an average speed of 4.5 km/h.

How many minutes does it take Ken to walk from his home to school?

a)

10 minutes

b)

20 minutes

c)

30 minutes

d)

40 minutes

68.

A stone is projected vertically upwards.
Its height $h$ in meters after time $t$ seconds is given by the equation: $h=60t-5t^2$

a)

After 3 seconds only

b)

After 6 seconds only

c)

After 9 seconds only

d)

After 3 seconds and again after 9 seconds

69.

A positive number x was multiplied by 0.5. The product was divided by 3. Then, the result was squared and 1 was added to it. The final result was 50.
What was the value of number $x$ ?

a)

24

b)

30

c)

40

d)

42

70.

. Twenty-seven thousandths is written as _________.

a)

0.270

b)

0.027

c)

0.0027

71.

The fraction in simplest form for 0.28 + 0.47 is __________.

a)

1/4

b)

2/5

c)

1/2

d)

3/4

72.

Emily budgeted 1/5 of her allowance for savings. If she receives $25 a month, how much will she put in savings in each month?

a)

$12.50

b)

$6.00

c)

$5.00

d)

$2.50

73.

Michigan's area s 96,810 square miles. Water makes up 2/5 of the area of the state. How many square miles of water does Michigan have?

a)

242,025

b)

48,405

c)

38,724

d)

19,362

74.

Factorize the following:

(x² - 9)(x² + 9)

a)

x⁴ - 81

b)

(x-9)²

c)

x²-18x + 81

d)

2x - 18

75.

What is x⁵, in expanded notation?

a)

x.x.x

b)

x.x.x.x

c)

x.x.x.x.x

d)

x¹⁰

76.

Simplify:

2xy³ + x - 2y

If x = 2 and y = -2

a)

2(4)(-2)³ + 2 - 2(2)

= 4(-12) + 2 + 4 = - 22

b)

2(8)(-2)³ + 2 - 2(-4)

= 4(20) + 2 + 4 =32

c)

2(2)(-2)³ + 2 - 2(-2)

= 4(-8) + 2 + 4 = - 26

77.

81 / 9 + m while m = 7

a)

17

b)

9

c)

20

d)

16

78.

Solve 9w - 24 = 6w + 18

a)

w = 5

b)

w = 14

c)

w = 19

d)

w = 22

79.

Area of a square with side 5cm =

a)

25cm

b)

10cm

c)

25sqcm

d)

10sqcm

KB Math Review

Total questions: 79

Worksheet time: 1hrs 19mins

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