Free Printable 1st Semester Review

Worksheets

1st Semester Review

Total questions: 55

Worksheet time: 3hrs 47mins

Name

Class

Date

What is true about irrational numbers?

They are terminating decimals.

They are non-repeating decimals.

They are fractions.

They are natural numbers.

Integers are whole numbers and their opposites.

True

False

Classify the following:
0.478123123123123123....

Rational

Irrational

Zero is a ___________.

whole number

natural number

whole number, integer, and rational

irrational

Given the following radical, decide if it is rational or irrational:
√121

Rational

Irrational

The number is a/an...

Rational Number

Irrational Number

Integer

Whole Number

The number is a/an...

Rational Number

Irrational Number

Integer

Whole Number

Fill in the blank with the correct sign >, < , or =
-1.8_____ 0.8

List in order from least to greatest.
5/4, 56%, 1.07, 4/5

^{5/4, 56%, 1.07, 4/5}

^{1.07, 4/5, 5/4, 56%}

^{56%, 1.07, 4/5, 5/4}

^{56%, 4/5, 1.07, 5/4}

10.

Order from least to greatest:
[-8, 7, -6, 5, -4, 3, -2]

^{-2, 3, -4, 5, -6, 7, -8}

^{-2, -4, -6, -8, 3, 5, 7}

^{-6, -8, -4, -2, 7, 5, 3}

^{-8, -6, -4, -2, 3, 5, 7}

11.

What is 9.2 x 10⁴in standard notation?

9,200

92,000

920,000

920

12.

What is 416,000,000 in scientific notation?

4.16 x 10⁸

4.16 x 10⁹

4.16 x 10^-8

4.16 x 10^-9

13.

What is 2.8 x 10^-4 in standard notation?

28,000

280,000

.00028

.000028

14.

What is 2.0x 10^-6 in standard notation?

200,000

2,000,000

.000002

.0000002

15.

Emilio borrows $1200 from a bank with 8% simple interest per year. How much will he have to pay back total in 2 years?

$150

$192

$1350

$1392

16.

Mark took out a loan for $25,690 to purchase a new truck at a simple interest rate of 5.2%. How much interest will he pay on his truck after 5 years?

$6,679.40

$32,369.40

$66,794

$679.40

17.

Caiden earned $475 from mowing lawns last summer. He deposited this money in an account that pays an interest rate of 3.8% compounded annually. What will be his balance after 15 year?

$827.52

$831.10

$839.45

$846.80

18.

The simple interest formula is I=Prt. The P represents the principle. The principle is ___________________.

the amount of money borrowed or deposited

the amount taxed

the percent interest for this year

the amount the bank owes you for being a customer at their bank

19.

If you are calculating the simple interest and you are given the time in months. How can you find the time in years?

divide 12 by the months

multiply 12 times the months

divide the months by 12

change the months to a decimal

20.

Put the rational numbers in order from least to greatest.
-4.2, -4 1/2, -4, 0, 4

^{0, -4 1/2, -4.2, 4, -4}

^{-4 1/2, -4.2, -4, 0, 4}

^{-4 1/2, -4.2, -4, 4, 0}

21.

Solve for x

140

22.

Find the length of the missing side.

25 cm

42 cm

52 cm

48 cm

23.

_{^{Find the missing side}}

6.4

24.

a² + b² = c^{2
b = 35 c = 37}

a = 12

a = 11

a = 18

a = 14

25.

Solve the equation:
7x - 4 = 3 + 8x

x = 7

x = -7

x = 2/7

x = 11

26.

Solve for x:
5x - 14 = 8x + 4

x = 6

x = -6

x = -18/13

x = 10/3

27.

How would 5/9 be classified?

rational

whole and integer

only integer

only whole

28.

Which set of numbers includes only natural numbers?

{-2, -1, 0, 1, 2}

{2, 4, 6, 8, 9}

{ 0, 1, 2, 3, 4, 5 }

{-3, -2, -1, 1, 2, 3}

29.

Does this graphic organizer correctly group the numbers?

Yes

30.

Find the volume of the cone. Round your answers to the nearest tenth. Use 3.14 for π.

14.13 in³

56.52 in³

169.56 in³

31.

Find the volume of the cone. Round your answers to the nearest tenth. Use 3.14 for π.

150.72 cm³

75.36 cm³

452.16 cm³

151 cm³

32.

Find the volume of the cone. Round your answers to the nearest tenth. Use 3.14 for π.

113.0 in³

37.7 in³

339.1 in³

33.

Find the volume of the figure.

128.64 units³

1,286.79 units³

401.92 units³

5,144.64 units³

34.

Find the volume of the cylinder?

6516.33 units³

2276.78 units³

1693.31 units³

2513.12 units³

35.

A table tennis (ping-pong) ball has a diameter of 40 mm. What is the approximate volume of the table tennis ball in cubic millimeters? Use the $\pi$ button.

1,676 mm³

18,850 mm³

33,510.3 mm³

268,083 mm³

36.

Which cylinder will have a larger volume? Solve for each volume and compare.

Cylinder A

Cylinder B

37.

Solve for the volume of the Sphere. Use the $\pi$ button.

78.5 m³

392.5 m³

523.6 m³

62.8 cm³

38.

Find the lateral surface area of the shape shown? Use the left and right sides as the bases.

119.28 in²

102.48 in²

84 in²

101.76 in2

39.

Find the total surface area of the shape shown. Use the top and bottom faces as bases.

119.28 in²

102.78 in²

84 in²

101.76 in²

40.

Find the total surface area of the shape shown.

3000 in²

1350 in²

1800 cm²

2100 cm²

41.

Mrs. Jarrell is wrapping a present for her puppy's birthday. The box is shaped like a cube with sides that are 13 inches long. How much wrapping paper is she going to need to use to wrap her puppy's present?

1014 in²

1004 in²

676 in²

1150 in²

42.

Find the total surface area of the figure.

500 ft²

515 ft²

525 ft²

510 ft²

43.

Find the surface area of the triangular prism.

356 in²

348 in²

336 in²

340 in²

44.

25 degrees

45 degrees

20 degrees

35 degrees

45.

Solve for x.

46.

Find the measure of angle A.

∠A=82°

∠A=98°

∠A=180°

∠A=8°

47.

If the $m\angle5\ =\ 63\degree,$ find the measure of $\angle3.$

$63\degree$

$117\degree$

$180\degree$

Cannot be determined

48.

Write the equation for the model.

2x - 2 = -x - 8

-x - 2x = 2x - 8x

-x - 2 = 2x - 8

49.

Write the equation for the model.

3x + 1 = -x + 5

-x + 1 = 3x + 5

-x + x = 3x + 5x

50.

51.

52.

53.

Given the perimeter is 29, find the value of x.

4.5

5.1

54.

What is the value of z?

(type the number only as an answer)

(a)

55.

8x - 8 = -4x + 16

100 %

1st Semester Review

Total questions: 55

Worksheet time: 3hrs 47mins

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