Ms. Dzikiy’s Fourth Grade PSSA Math Review

Chapters 1 - 30

Question 1

Write the following number in expanded form, then tell the value of the underlined digit.

678,049

Question 2

Write these numbers in order from greatest to least.

15,867; 15,394; 15,948; 15,493

Question 3

Round this number to the place of the underlined digit.

506,449

Round this number to the nearest thousand.

1,354,029

Question 4

Solve. Then estimate to check.

90,000

- 66,536

Question 5

Write an expression.

Alec had 23 football cards. He found 4 more cards, then gave some of them away

Question 6

Write an equation, then solve.

Mr. P. has 46 students in gym class. Thirty-two are playing dodgeball. The rest are jogging. How many are jogging?

Question 7

Find a rule. Write the rule as an equation. Find the missing values.

Input Output

a b

8 2

12 3

16

5

Question 8

Find the elapsed time.

Jauna started playing with Elliot at 9:12 am. She came in for lunch at 12:28 pm. How long was she playing?

Question 9

Find the mean, median, mode, and range of this set of data.

24, 33, 19, 58, 47, 65

Question 10

Rebecca went to a three day gymnastics camp at which she spent a total of 21 hours practicing. She spent 7 hours practicing the first day and 6 hours the second day. How many hours did she practice the third day?

Question 11

Write an expression to match the words. Then find the value of the expression.

Jendi has $25. She wants to buy 4 movie tickets at $3 each. How much money will she have left over?

Question 12

Follow the order of operations to find the value of each expression.

6 x 3 - 4 + 11

48 / 8 – 2 x 3

6 x 7 + 28 / 4

Question 13

What time is 2 hours and 43 minutes after 11:06 am?

Question 14

Find the value of n in each equation.

7 x n = 42, 000

n x 6 = 1,800

7,000 x 400 = n

Question 15

Find the product. Then estimate to check.

$76.03

x 9

Question 16

Find the product. Then estimate to check.

5,032

x 17

Question 17

Write an equation and solve.

Annelise practices her clarinet for 45 minutes each day. How many minutes does she practice in one week?

Question 18

Find the product. Then estimate to check.

$45.39

x 36

Question 19

Find the value of n.

65 x (437 – 81) = n

Question 20

Find the quotient. Multiply and add to check.

65 / 7 =

Question 21

Solve.

$759.83

+ $56.48

Question 22

Solve.

4,787 / 6 =

Question 23

Solve.

3,208 / 8 =

Question 24

Find the mean, median, mode, and range for the set of data.

3,6,4,6,3,4,6,7,2

Question 25

Mr. Fish bought 7 dozen eggs for an egg- tossing contest. If each of 26 teams is given the same number of eggs, how many eggs are left over?

Question 26

List the factors of 48.

Question 27

List all of the multiples of 7 up to 100.

Question 28

Circle the prime numbers and underline the composite numbers:

42 17 54 21 34

18 95 121 46 29

Question 29

Find the square root of these square numbers.

81 144

49 64

Question 30

Austin is playing a guessing game with his friends. When they say 6, he says 24. When they say 9, he says 36. When they say 12, he says 48. What is the pattern? What will he say when they say 15?

Question 31

Draw a line, ray, line segment, and point. Label each one to tell what it is.

Question 32

Draw a right, obtuse, straight, and an acute angle. Label each one to tell what it is.

Question 33

What is the difference between parallel and perpendicular lines?

Question 34

Name each:

• a five sided polygon• a six sided polygon• an eight sided polygon• a four sided polygon

Question 35

Name each:

• a triangle with 3 equal sides• a triangle with 2 equal sides• a triangle with no equal sides

Question 36

Name each:

• a polygon with one pair of parallel sides• a polygon with 2 pairs of parallel sides• a polygon with 4 equal sides

Question 37

In a circle, the _______________ is a line segment that connects the center to a point on the circle.

The ________________ is a chord that passes through the center of the circle.

The radius is

equal to _________ the diameter.

Question 38

If the diameter of a circle is equal to 14 cm, what is the radius? _______________________

If the radius of a circle is equal to 13 cm,

what is the diameter? ____________________

Question 39

Draw a figure that has exactly one line of symmetry.

Question 40

Draw a figure that has more than one line of symmetry.

Question 41

Tell whether the figure has line symmetry, rotational symmetry, or both.

S

Question 42

Tell whether the figure has turned 90, 180, 270, or 360 degrees and in which direction.

Question 43

Tell whether the figures are similar or congruent.

Question 44

Tell whether the figures are similar or congruent.

Question 45

Tell what kind of transformation has occurred.

Question 46

Tell what kind of transformation has occurred.

Question 47

Tell what kind of transformation has occurred.

Question 48

Shade in the figures that will tessellate.

Question 49

What is the pattern? Draw the next shape.

Question 50

What is the pattern? Draw the next shape.

b b d b b d

Question 51

Name this figure. Tell how many faces,edges, and vertices it has.

• Name:

• Faces:

• Edges:

• Vertices:

Question 52

Name this figure. Tell how many faces,edges, and vertices it has.

• Name:

• Faces:

• Edges:

• Vertices:

Question 53

Find the change in temperature.

- 7 degrees F to 39 degrees F

Question 54

What is the change in temperature from 114 degrees F to freezing?

Question 55

Draw a number line and graph the number - 4 and its opposite.

Question 56

Compare. Write <, >, or = .

+ 6 4

- 9 - 3

Question 57

Draw a number line and graph the number 6 and its opposite.

Question 58

Compare. Write <, >, or = .

- 2 - 12

7 - 1

Question 59

Which of the numbers 2, 3, 6, and 10 make each inequality true?

___________ < 8 ____________ > 2+3

___________ > 14- __________ + 2 < 8

___________ - 1 > 5 ___________ < 6

Question 60

Graph each ordered pair on the coordinate grid on a piece of paper.

(1, 3) (6, 0)

(8, 7) (9, 4)

(6, 1) (7, 8)

Question 61

Write a fraction for the shaded part.

Question 62

Write a fraction for the unshaded part.

Question 63

Write two equivalent fractions for each.

5 9 8

10 36 20

Question 64

Tell whether each fraction is in its simplest form. If not, write the simplest form.

2 3 9

8 5 12

Question 65

Find the missing numerator or denominator.

3 = 1 9 = 2 = 1

9 18 2 8

4 = 1 5 = 4 = 2

16 15 3 10

Question 66

Compare the fractions. Write <, >, or = .

1 1 5 4 1 6

3 4 6 6 2 12

3 3 1 1 4 4

4 5 8 7 8 10

Question 67

Order the fractions from least to greatest.

2 , 1 , 2

6 4 5

1 , 1 , 1

6 3 2

Question 68Rename each fraction as a mixed number.

16 = 9 = 14 =

3 2 5

4 = 22 = 19 =

3 7 6

Question 69

Rename each mixed number as a fraction.

2 5 = 3 1 = 4 3 =

6 4 5

1 7 = 5 1 = 7 2 =

8 2 3

Question 70

Summer bought cookies from the bakery. She got ½ dozen oatmeal, one dozen peanut butter, and ¾ dozen chocolate chip. List each kind in order from greatest to least amount bought.

*Bonus: How many cookies did she buy in all?

Question 71

Find the sum.

3 + 1 = 1 + 6 = 3 + 4 =

6 6 8 8 5 5

5 + 2 = 6 + 7 = 3 + 2 =

12 12 10 10 4 4

Question 72

Find the difference.

3 - 2 = 4 - 3 = 7 - 3 =

4 4 6 6 8 8

5 - 3 = 3 - 1 = 6 - 2 =

10 10 5 5 8 8

Question 73

Find the sum or difference.

5 7 6 4 9 3

8 10 4

- 2 3 + 4 3 + 2 2

8 10 4

Question 74

Find the sum or difference.

3 2 5 4 8 6

3 5 8

- 2 1 + 1 2 - 3 2

3 5 8

Question 75

Find the missing numerator or denominator.

2 = 1 = 3 3 =

3 6 5 4 16

Question 76

Find the missing numerator or denominator.

= 5 = 2 2 = 4

2 10 4 8 6

Question 77

Find the sum.

1 + 1 = 5 + 3 = 3 + 1 =

3 6 8 4 4 6

Question 78

Find the sum.

7 + 2 = 4 + 3 = 4 + 7 =

10 5 10 5 6 12

Question 79

Find the difference.

4 - 3 = 4 - 5 = 6 - 1 =

5 10 6 12 8 2

Question 80

Find the difference.

7 - 1 = 11 - 1 = 5 - 2 =

8 4 12 3 6 3

Question 81

Write likely, unlikely, or equally likely for the event.

Tossing an even number or an odd number using a cube numbered 1 – 6

Question 82

Write likely, unlikely, or equally likely for the event.

Tossing a prime number on a cube labeled 3, 5, 7, 9, 11, and 13

Question 83

Write likely, unlikely, or equally likely for the event.

Pulling a yellow marble from a bag with 10 green marbles, 6 red marbles, and 1 yellow marble

Question 84

Is it certain or impossible that the pointer will stop on a capital letter?

Is it certain or impossible that the pointer will stop on an M?

X

Y Z

Question 85

If a spinner is divided into 5 equal parts: A, B, C, D, and E, what is the probability of spinning...

the letter C _____________

a vowel _____________

a letter in the word CAB _____________

the letter F _____________

a consonant _____________

Question 86

If a box of marbles contains 4 red, 6 yellow, and 2 green marbles. Write impossible, unlikely, likely for each event, and find the probablility.

a marble that is not red _____________________

an orange marble _____________________

a green marble _____________________

a red marble _____________________

Question 87

How many possible outcomes are there when you toss a coin and spin the pointer on a spinner with 5 colors?

Question 88

Cody has 6 different shirts to wear with his 4 pairs of pants. How many possible choices does he have?

Question 89

Find the number of possible combinations.

Footwear choices:

Shoes: blue, black, or brown

Socks: white, black, or tan

Question 90

Alexis is writing a report on the computer. She has a choice of 5 different designs for the cover, and 3 different fonts for the typing. How many possible ways of writing this report are there?

Question 91

Complete.

Number of feet in a mile

Number of feet in a yard

Number of inches in a foot

Number of inches in a yard

Question 92

Name the greater measurement.

60 feet or 60 yards

3 miles or 25 yards

260 inches or 10 feet

15 feet or 4 yards

Question 93

Measure your pencil to the nearest ¼ inch.

Question 94

Measure the thickness of your math book to the nearest ¼ inch.

Question 95

Order the measurements from least to greatest.

1 in.; 1 in.; 3 in.; 5 in.

8 2 4 8

Question 96

Complete. Tell whether you multiply or divide.

48 in. = ft.

36 ft. = yd.

4 yd. = in.

3 mi. = ft.

Question 97

Complete. Tell whether you multiply or divide.

2 mi. = yd.

7 ft. = in.

300 ft. = yd.

432 in. = yd.

Question 98

Compare. Write <, >, or =.

38 in. 3 ft.

10,000 ft. 4 mi.

10 in. 3 yd.

12 ft. 5 yd.

Question 99

Complete.

2 cup = pint

pint = 1 quart

8 cup = pint

pint = 4 quart

Question 100

Jacob is making kool-aid for some friends. Each cup of kool-aid uses 1 cup of water. Jacob fills a 3-quart pitcher with water. How many cups can he fill?

Question 101

Complete.

How many millimeters in a centimeter?

How many centimeters in a decimeter?

How many decimeters in a meter?

How many meters in a kilometer?

Question 102

Complete. Tell whether you multiply or divide by 10, 100, or 1,000.

300 cm = m

4 km = m

5,000 m = km

50 m = dm

Question 103

Write the correct unit.

60 dm = 6 ________

8 km = __________ m

200 m = 20,000 ________

Question 104

Compare. Write <, >, or =.

12 m 120 cm

30 dm 3 m

3 km 4,000 m

Question 105

Complete.

1 liter (L) = __________milliliters (mL)

6,000 mL = __________L

70 L = ______________mL

26,000 mL = ________L

Question 106

Taylor’s family car has a 12 gallon gas tank. If gas costs $1.45 per gallon, how much will it cost to fill the tank?

Question 107

A 5 lb. bag of flour costs $1.10. A 20 oz. bag of flour costs $0.40. Which is the better buy?

Question 108

Complete.

1 kilogram (kg) = _____________ gram (g)

14 kg = _____________ g

_________ kg = 20,000 g

Question 109

One serving of macaroni and cheese is 70 g. How many kilograms are needed to serve 200 people?

Question 110

Complete.

20 qt = __________ gal

4 lb = ___________ oz

6 c = ____________ pt

Question 111

Write each fraction as a decimal.

6 = 84 = 393 =

10 1000 1000

64 = 7 = 4 =

100 100 1000

Question 112

Write each decimal as a fraction.

0.2 = _________ 0.04 = ________

0.668 = ________ 0.10 = _________

Question 113

Write equivalent or not equivalent.

0.4 and 0.40 ______________________________

0.20 and 0.02 _____________________________

0.18 and 0.81 _____________________________

0.9 and 0.90 ______________________________

Question 114

Write and equivalent decimal for each.

0.7 __________ 0.60 ___________

0.1 __________ 0.20 ___________

0.30 _________ 0.5 ____________

0.8 __________ 0.90 ___________

Question 115

Write an equivalent mixed number or decimal.

12.75 __________ 5.50 _________

6 1 3 1

5 ____________ 2 __________

Question 116

Compare. Write <, >, or =.

0.45 0.35 0.9 0.91

0.02 0.22 0.25 0.205

0.465 0.437 0.32 0.23

Question 117

Put the decimals in order from least to greatest.

0.4, 0.5, 0.04, 0.05, 0.45

0.147, 0.243, 0.202, 0.215, 0.041

Question 118

Round each decimal to the place of the underlined digit.

6.9 ____________ 9.75 ____________

51.2 ___________ 84.65 ___________

5.964 __________ $8.32 ____________

Question 119

Solve.

1.35 + 0.64 = n 0.7 + 0.6 = n

1.59 + 0.43 = n 0.78 + 0.63 = n

45.91 + 12.57 = n 0.88 + 0.43 = n

31.504 + 14.689 = n 0.9 + 0.9 = n

Question 120

Solve.

0.9 – 0.2 = n 0.64 – 0.34 = n

41.526 – 32.619 = n 1.25 – 0.76 = n

1.00 – 0.56 = n 1.62 – 0.73 = n

17.62 – 9.2 = n 4.80 – 0.62 = n

Question 121

Solve.

$5.20 - $3.45 = $35.91 + $4.03 =

10 - 4.632 = $2.60 + $1.75 =

$5.98 - $0.50 = 12 + 5.913 =

Question 122

Austin ran 50 meters in 9.62 seconds. Jendi finished 0.35 seconds later. Becca’s time was 0.09 seconds more than Jendi’s. What was Jendi’s time?

Question 123

Find the perimeter of each figure.

4 cm 9 m

3 cm

Question 124

Find the perimeter of each figure.

9 in

7 in

12 cm

8 in

Question 125

Estimate the circumference.

diameter = 54 ft diameter = 492 in

Question 126

Estimate the circumference.

radius = 66 in radius = 14 yd

Question 127

A playground shaped like a triangle has a perimeter of 108 feet. The shortest side is 12 feet long. The longest side is 60 feet long. How long is the missing side?

*Bonus: What kind of triangle is it?

Question 128

The perimeter of a square window is 72 inches. How long is each side of the window?

Question 129

A rectangular picture 6 inches wide is 4 inches longer than its width. What is the perimeter of the picture?

Question 130

A wheel has a circumference of 8 inches. It rolls 64 inches. How many complete turns did the wheel make?

Question 131

Find the area of each figure.

6 yd

8 in3 yd

5 in

Question 132

Find the unknown length.

Area = 90 sq. in

?

10 ft

Question 133

Name these figures.

Question 134

Write the names of the faces and the number of each kind of face of the solid figure.

Triangular prism

Triangular pyramid

Square pyramid

Question 135

A __________ is a two-dimensional pattern of a three-dimensional figure.

Question 136

Draw a net of a square pyramid.

Question 137

What is the volume of a rectangular prism that has an edge length of 8 cm, an edge width of 6 cm, and an edge height of 4 cm?

Question 138

Find the area and perimeter of the figure.

4 in

9 in

Question 139

A cereal box weighs 1 pound. It is 12 inches high, 6 inches long, and 2 inches wide. What is the volume of the cereal box?

Question 140

Jauna is walking around a park along a triangular-shaped path. The path’s perimeter is 1.75 mi. Jauna has walked around two sides that are 0.45 mi and 0.5 mi long. How far does she have left to walk?