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Worksheets

2018 Math District

Total questions: 36

Worksheet time: 18mins

Name
Class
Date
1.

Which statement below shows the correct usage of the Multiplicative Identity Element?

a)

4 × 1 = 4

b)

4 × 1/4 = 1

c)

5 (4) = 4 (5)

d)

4 + 0 = 4

2.

The pictograph shows Monday’s Cafeteria Order. How many students ordered salad?

a)

4

b)

5

c)

28

d)

56

3.

What is the greatest common factor for 108, 120 and 200?

a)

8

b)

4

c)

15

d)

18

4.

Bob had 2 ½ gallons of gas. If he used one-third of the gas to fill his lawn mower, how many gallons of gas did he use?

a)

1/2 gallon

b)

1/3 gallon

c)

5/6 gallon

d)

1 gallon

5.

The Beta Club has 48 members and 30 of those members are girls. What is the ratio of boys to girls in the club?

a)

3/8

b)

8/3

c)

5/3

d)

3/5

6.

Gina makes milkshakes in a blender. She uses a blender that holds 36 ounces, and fills it half full of milk. Then Gina adds 6 ounces of ice cream and 4 ounces of yogurt. How many ounces of milkshake does Gina make?

a)

36 ounces

b)

28 ounces

c)

24 ounces

d)

20 ounces

7.

Jordan grew 12 centimeters during the past year. If he is 1.6 meters tall now, how tall, in centimeters, was he last year?

a)

114 centimeters

b)

122 centimeters

c)

148 centimeters

d)

160 centimeters

8.

Two intersecting lines form four angles as shown in the figure. What is the sum of all four of these angles?

a)

90°

b)

120°

c)

180°

d)

360°

9.

How many feet of fencing will be needed to enclose the triangular space shown? Use the triangle shown at right to answer this question.

a)

35 feet

b)

39 feet

c)

48 feet

d)

56 feet

10.

How many square feet are enclosed in the triangle? Use the triangle shown at right to answer this question.

a)

40 square feet

b)

56 square feet

c)

68 square feet

d)

84 square feet

11.

How many lines of symmetry does a hexagon with equal sides and equal angles have?

a)

6

b)

5

c)

4

d)

3

12.

A jar contains 3 red marbles, 7 green marbles and 10 white marbles. If a single marble is randomly drawn from the jar, what is the probability of it being red OR white?

a)

1/10

b)

13/20

c)

1/3

d)

7/20

13.

The first five numbers in a pattern are 1, 4, 9, 16, and 25. What is the next number in this pattern?

a)

36

b)

40

c)

68

d)

81

14.

Four fewer than twice a number is 45. Which equation below represents this statement?

a)

4 - 2n = 45

b)

4 + 2n = 45

c)

2n - 4 = 45

d)

2n - 4 = -45

15.

Which list of numbers is correctly written in order, from least to greatest?

a)

A. 3 2/3, 3 4/9, 3.48, 350%

b)

B. 3 2/3, 350%, 3 4/9, 3.48

c)

C. 3 2/3, 350%, 3.48, 3 4/9

d)

D. 3 4/9, 3.48, 350%, 3 2/3

16.

What is the mode for this list of data? 3, 5, 14, 8, 5, 12, 17, 6, 8, 12

a)

A. 5

b)

B. 8

c)

C. 12

d)

D. 5, 8 and 12

17.

Last week Jake kept track of the number of visitors to the gorilla exhibit at the zoo. The table below shows totals for each day of the week. How many more people visited the gorillas on Saturday and Sunday, as compared to the rest of the week combined?

a)

A. 175

b)

B. 117

c)

C. 17

d)

D. 15

18.

At the grocery store the weight of 4 apples is 1.2 pounds. If apples are priced at $1.25 per pound, what is the total cost of these 4 apples, disregarding any tax?

a)

A. $4.80

b)

B. $2.50

c)

C. $1.80

d)

D. $1.50

19.

The local gym is offering a new rate on yearly memberships for families. They previously charged $325 per family, but the special price is $275. What percent discount is being offered? (Round your answer to the nearest percent.)

a)

A. 85%

b)

B. 90%

c)

C. 15%

d)

D. 10%

20.

Ordered pairs graphed in the standard coordinate plane sometimes lie directly on either the x- or y-axis. What must be true about one of the two numbers in these ordered pairs?

a)

A. One number must be positive.

b)

B. One number must be zero.

c)

C. One number must be negative.

d)

D. One number must equal the other number.

21.

Two angles are supplementary, and one of the angles measures 36°. What is the measure of the second angle?

a)

A. 144°

b)

B. 36°

c)

C. 54°

d)

D. 180°

22.

What is the volume of the triangular prism shown at right?

a)

A. 360 cubic feet

b)

B. 240 cubic feet

c)

C. 480 cubic feet

d)

D. 180 cubic feet

23.

At right below, two congruent figures are shown. Which answer choice gives the correct completion of the statement ACAB ≅ ?

a)

ΔXYZ

b)

ΔYXZ

c)

ΔYZX

d)

ΔXZY

24.

In the triangle on the top left above, what is the measure of angle B?

a)

65°

b)

40°

c)

50°

d)

75°

25.

The school choir contains 25 soprano singers, 20 altos, 18 tenor voices and 17 basses. If a singer is chosen at random for a solo in the next concert, what is the probability the singer will be an alto?

a)

5/16

b)

9/40

c)

1/3

d)

1/4

26.

What is the value of this expression? (12 – 8) + (5 + 2)

a)

11

b)

9

c)

18

d)

10

27.

What is the solution for the equation 4x + 18 = 30?

a)

x = 12

b)

x = 3

c)

x = -2

d)

x = -5

28.

Find the perimeter of the irregular shape at right.

a)

34 m

b)

32 m

c)

26 m

d)

24 m

29.

After taking a survey of his classmates including himself, Roy discovered that the ratio of cat owners to dog owners is 4:5. If there are 27 students in Roy’s class, how many of them own a cat?

a)

4

b)

5

c)

12

d)

15

30.

For Amy’s newest quilting project she needs to purchase 4 yards of yellow fabric, 3 ½ yards of blue fabric and 2 ¼ yards of pink fabric. The fabric is priced at $3.89 per yard. Excluding tax, and rounding to the nearest cent, how much will the fabric for Amy’s project cost?

a)

$26.98

b)

$29.18

c)

$32.75

d)

$37.93

31.

James is saving money to buy a new video game system that costs $250.00. If he waits until the system goes on sale at 25% off the original price, how much money (excluding tax) will James need to buy the system?

a)

$225.00

b)

$187.50

c)

$62.50

d)

$200.00

32.

The line graphs on the right show the amount of money saved by Jack and Barbara from January through May. In total for the 5 months shown, how much more money was Jack able to save than Barbara?

a)

$7000

b)

$3500

c)

$2500

d)

$100

33.

The kites shown in the figure are similar. What is the length in inches of the side labeled x?

a)

8

b)

15

c)

20

d)

25

34.

A standard deck of playing cards contains 52 cards—four suits with 13 cards each, 2 through 10 and Jack, Queen, King, Ace. What is the probability of randomly drawing a red card which also contains an odd number?

a)

2/13

b)

4/13

c)

1/13

d)

3/52

35.

What is the value of the expression xy – 4z when x = 2, y = 3 and z = –5?

a)

-14

b)

-15

c)

26

d)

22

36.

What is the volume of a cylinder which has a radius of 4 cm and a height of 20 cm?

a)

320π cubic centimeters

b)

160π cubic centimeters

c)

120π cubic centimeters

d)

80π cubic centimeters