Free Printable HSPT Practice Test 5

1.

What value does the digit 4 represent in the decimal number 35.9842?

a)

$\frac{4}{1,000}$

b)

$\frac{4}{10}$

c)

$\frac{4}{100}$

d)

$\frac{4}{10,000}$

2.

How many integers are greater than 10 but less than 100?

a)

90

b)

88

c)

91

d)

89

3.

Which of the following is a quadrilateral?

a)

hexagon

b)

triangle

c)

pentagon

d)

trapezoid

4.

If a + 2b = b, then b =

a)

2ab + b

b)

4ab

c)

3a + 4b

d)

b + 2a

5.

What is the difference between the sum of all even integers between 0 and 101 and the sum of all odd integers between 0 and 100?

a)

50

b)

0

c)

100

d)

1

6.

In the figure shown, <BEC is a right angle. Which of the following statements must be true?

a)

m<1 = m<3

b)

m<1 + m<3 = m<2

c)

m<1 + m<2 + m<3 = 360°

d)

m<1 + m<2 = 180°

7.

The number 500,000 is equivalent to

a)

$5\ \times\ 10^5$

b)

$10\ \times\ 5^6$

c)

$5\ \times\ 10^6$

d)

$10\ \times\ 5^5$

8.

x + 2x + 3x =

a)

$5x^3$

b)

$6x$

c)

$5+3x$

d)

$10\ \times\ 5^5$

9.

Which of the following represents $\left\{3,5,8,2,4\right\}\cap\left\{2,4,6,8,10\right\}$ ?

a)

$\left\{2,3,4,5,6,8,10\right\}$

b)

$\left\{1,7,9\right\}$

c)

$\left\{3,5,10\right\}$

d)

$\left\{2,4,8\right\}$

10.

Point A appears on the real number line as shown in the diagram. If x and y are real numbers, point A CANNOT represent

a)

$x^2-y^2$

b)

$x^3+y^3$

c)

$x^2+y^2$

d)

$x^3-y^3$

11.

Which of the following is a complete and accurate list of the prime factors of 48?

a)

2, 3

b)

2, 3, 4

c)

2, 3, 6

d)

2, 3, 13

12.

If the lengths of two sides of a triangle are 5 and 9, the length of the third side could be

a)

9

b)

14

c)

4

d)

15

13.

If $\frac{P}{2+Q}=R$ , then which of the following equals $2R$ ?

a)

$\frac{P}{4+2Q}$

b)

$\frac{P}{1+\frac{Q}{2}}$

c)

$\frac{2P}{4+Q}$

d)

$\frac{P}{2+\frac{2}{Q}}$

14.

The population of a certain city is 2,355,002. Rounded to the nearest ten thousand, what is the city's population?

a)

2,400,000

b)

2,450,000

c)

2,356,000

d)

2,360,000

15.

If one of the angles of an isosceles triangle measures 100°, one of the other angles must measure

a)

80°

b)

100°

c)

40°

d)

60°

16.

If $x<-1$ and $y>1$ , then it must be true that

a)

$x+y<0$

b)

$xy<-1$

c)

$x+y>0$

d)

$\frac{x}{y}>1$

17.

In the figure shown, $l_1\parallel l_2$ . All of the following statements are true EXCEPT:

a)

$m\angle2+m\angle8=m\angle5+m\angle3$

b)

$m\angle3+m\angle7=m\angle6+m\angle2$

c)

$m\angle1+180=m\angle5+m\angle8$

d)

$m\angle4=180-m\angle7$

18.

Which of the following is a prime number?

a)

69

b)

73

c)

87

d)

55

19.

Twenty-five (25) cents is what fraction of 100 dollars?

a)

$\frac{1}{250}$

b)

$\frac{1}{500}$

c)

$\frac{1}{400}$

d)

$\frac{25}{1,000}$

20.

If $a$ , $b$ , and $c$ are consecutive integers such that $0<a<b<c$ , which of the following could be an integer?

a)

$\frac{a}{b}$

b)

$\frac{b}{c}$

c)

$\frac{c}{b}$

d)

$\frac{b}{a}$

21.

When you increase a cube's height by 100%, you increase its volume by

a)

600%

b)

400%

c)

700%

d)

200%

22.

Which of the following is the set of common factors of 60 and 36?

a)

$\left(2,3,6,12,18\right)$

b)

$\left(2,3,6,12\right)$

c)

$\left(2,3,4,6,8,12\right)$

d)

$\left(2,3,4,6,12\right)$

23.

The figure shows a parallelogram. Which of the following statements is true?

a)

Interior angle $BCD$ measures $x\degree$

b)

$AB$ is perpendicular to $AD$

c)

$x>90$

d)

Interior angle $ABC$ is an acute angle

24.

If Kira randomly selects an integer from 1 to 50, the probability that she will select a multiple of 3 is

a)

$\frac{1}{6}$

b)

$\frac{3}{10}$

c)

$\frac{8}{25}$

d)

$\frac{1}{5}$

25.

$-1-\left(-2\right)-\left(-3\right)=$

a)

-6

b)

4

c)

0

d)

3

26.

A salad costs $3.75, a beverage costs $1.50, and a bagel costs $2.25. Kevin, who9 has $5.50 to spend, can buy any of the following EXCEPT:

a)

three beverages

b)

two beverages and a bagel

c)

a salad and a beverage

d)

a bagel and salad

27.

Find the value of y in the figure shown.

a)

120

b)

90

c)

130

d)

100

28.

298.67 + 1.33=

a)

301

b)

299.90

c)

300.01

d)

300

29.

$\frac{4}{5}+0.2+5\%=$

a)

$\frac{5}{4}$

b)

$\frac{21}{20}$

c)

$\frac{6}{5}$

d)

$\frac{11}{10}$

30.

On a cold winter day, the low temperature was -6° and the high temperature was 11°. Based on these two statistics, what was the average temperature for the day?

a)

2.5°

b)

0.5°

c)

1.5°

d)

-0.5°

31.

In the given figure, if the area of the triangle ABC is 15 square feet, what is the length of BC?

a)

12 feet

b)

10 feet

c)

12.5 feet

d)

7.5 feet

32.

Each of the 24 candies in a box is either chewy or hard. If 9 candies are chewy, how many hard candies must you remove in order for the box to contain the same number of hard candies and chewy candies?

a)

9

b)

12

c)

6

d)

15

33.

Which of the following is most nearly equal to $\frac{5}{3}$ ?

a)

3.5

b)

170%

c)

1.6

d)

230%

34.

For what value of $x$ does $\frac{x}{2}=\frac{1}{2}\left(2-x\right)$ ?

a)

1

b)

0

c)

2

d)

$\frac{1}{2}$

35.

$\frac{3^4}{6^4}=$

a)

$\frac{1}{4}$

b)

$\frac{1}{16}$

c)

$\frac{3}{32}$

d)

$\frac{1}{20}$

36.

If 30 ounces of coffee beans are removed from a 5-pound bag of coffee beans, the new weight of the bag of coffee beans is

a)

50 ounces

b)

20 ounce

c)

40 ounces

d)

60 ounces

37.

A circle is divided into four sectors around a central vertex, forming central angles measuring 68°, 82°, and 120°. What is the size of the fourth central angle?

a)

70°

b)

110°

c)

60°

d)

90°

38.

A team played 25 games in the season, losing 8 more games than it won. Three (3) of the games resulted in ties. How many games did the team win?

a)

15

b)

12

c)

7

d)

10

39.

Which of the following operations yields the greatest sum?

a)

$2.1+\frac{3}{5}$

b)

$0.8+\frac{8}{4}$

c)

$2.0+\frac{3}{4}$

d)

$0.1+\frac{5}{2}$

40.

The table shows distances (in miles) between 5 cities. Which of the following trips, each involving two legs, is longest in distance?

a)

From D to E, and then to C

b)

From C to A, and then to D

c)

From A to E, and then to B

d)

From D to B, and then to C

41.

Fill in the blank to complete the following equation: $11-10\div\left(\ \ldots\times3\right)+3=4$

a)

$-\frac{1}{3}$

b)

$4$

c)

$-4$

d)

$\frac{1}{3}$

42.

If Stacy drinks 25% of a 16-ounce carton of milk, and then later drinks 25% of the remaining milk, how many ounces of milk are left?

a)

11

b)

9

c)

8

d)

10

43.

A rectangular plot of land with a length of 150 feet has an area of 12,000 square feet. The width of the plot is

a)

80 feet

b)

100 feet

c)

65 feet

d)

135 feet

44.

3.8 - 0.38 =

a)

3.42

b)

3.5

c)

3.58

d)

3.3

45.

Currently, Pam's age is greater than Terry's age by 15 years. Two years ago, Pam's age was twice Terry's age. What is Pam's current age?

a)

28

b)

32

c)

40

d)

36

46.

Four points appear on the $\left(x,y\right)$ coordinate plane shown. For which of the four points is the product of the point's $x$ and $y$ coordinates least in value?

a)

Point A

b)

Point B

c)

Point C

d)

Point D

47.

After one year, a $700 deposit in a savings account earning simple interest is worth $735. What annual rate of interest did the deposit earn?

a)

3.5%

b)

2%

c)

17.5%

d)

5%

48.

It took Matt twice the time to drive from home to work as it too, him to drive back home from work. If Matt averaged 20 miles per hour (mph) on his drive to work, his average speed for the entire round trip was

a)

30 mph

b)

25 mph

c)

40 mph

d)

15 mph

49.

$\left|-6\right|-\left|-6\right|=$

a)

-12

b)

-6

c)

0

d)

12

50.

$\frac{26\times48}{24\times52}=$

a)

7

b)

13

c)

1

d)

2

51.

A box has sides 4 inches, 5 inches, and 8 inches. All faces of the box are rectangles. How many 1-inch cubes can you pack into the box?

a)

200

b)

90

c)

120

d)

160

52.

Carrie skates only forward in straight lines. If she skates 10 feet, then turns 90° to the right and skates 6 feet, then turns 180° and skates 10 feet, which of the following instructions must Carrie follow in order to return to the spot where she started?

a)

Turn 90° to the right and skate 10 feet; then turn 180° and skate 4 feet

b)

Turn 180° and skate 6 feet; then turn 90° to the right and skate 10 feet

c)

Turn 180° and skate 4 feet; then turn 90° to the right and skate 10 feet

d)

Turn 90° to the left and skate 10 feet; then turn 90° to the left and skate 6 feet

53.

How many centimeters is equivalent to one fourth of one meter?

a)

250

b)

40

c)

25

d)

4

54.

Of 27 animals at the zoo, 15 are monkeys. Which of the following expresses the ratio of monkeys to all other animals at the zoo?

a)

5:4

b)

5:9

c)

4:5

d)

4:3

55.

$2\sqrt[\ ]{5}+2\sqrt[\ \ ]{125}=$

a)

$4\sqrt[\ ]{10}$

b)

$10\sqrt[\ ]{5}$

c)

$8\sqrt[\ ]{12}$

d)

$12\sqrt[\ ]{5}$

56.

The graph shoes the number of visitors to Seaside State Park during each of six months. The greatest increase in the number of park visitors from one month to the next occurred

a)

from January through February

b)

from February through

c)

from March through April

d)

from May through June

57.

Approximately how many visitors did the park receive altogether during the six months shown?

a)

190,000

b)

265,000

c)

240,000

d)

225,000

58.

Find the value of the expression $\frac{3x}{z}-4y^z$ when x = 4, y = 3, and z = 2.

a)

-30

b)

-6

c)

42

d)

12

59.

$\left(-3\right)^3+\left(-2\right)^2=$

a)

-23

b)

31

c)

14

d)

-5

60.

The central angle of one sector of a circle measures 80°. What is the area of the sector as a portion of the circle?

a)

$\frac{1}{5}$

b)

$\frac{2}{5}$

c)

$\frac{3}{8}$

d)

$\frac{2}{9}$

61.

Ashley earns $15 per hour and receives a 5% commission on all of her sales. How much did Ashley earn during an 8-hour day during which Ashley's sales totaled $400?

a)

$160

b)

$175

c)

$150

d)

$140

62.

What is the total unit area of the figure shown?

a)

52

b)

72

c)

63

d)

57

63.

Nadia has two more dimes than quarters, and two fewer quarters than nickels. If Nadia has $1.10 altogether, how many dimes does Nadia have?

a)

5

b)

672

c)

4

d)

2

64.

$\frac{2}{9}\div\frac{4}{3}+\frac{1}{2}=$

a)

$\frac{4}{9}$

b)

$\frac{2}{3}$

c)

$\frac{9}{8}$

d)

$\frac{10}{3}$

HSPT Practice Test 5

Total questions: 64

Worksheet time: 2hrs 36mins

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