pioneer press newspapers in education 2013 seventh grade...

Pioneer Press Newspapers In Education 2013

SEVENTH GRADE MATHEMATICS

1 7th Grade Mathematics Questions

1. Classify the following number 22

. 7

a) rational number

b) whole number

c) integer

d) irrational number

2. Which of the following points represent 23

5

on the number line below?

A B C D

a) A

b) B

c) C

d) D

3. List the following numbers in order from least to greatest:

- 0.34, - 1

, 0.51, 11

3 20

a) - 0.34, - 1

, 11

, 0.51 3 20

b) - 1

, - 0.34, 11

, 0.51 3 20

c) - 1

, - 0.34, 0.51, 11

3 20

d) - 0.34, - 1

, 0.51, 11

3 20




4. Which of the following is equivalent to 5

? 7

a) 5 7

b) 10 21

c) 30 42

d) 35 56

5. 9.58 + - 4.7

a) -14.28

b) - 4.88

c) 4.88

d) 14.28

6. The temperature when Patrick pitched his tent to camp out was 63°. When he

woke up at sunrise, it was 25° cooler. What was the temperature when Patrick

woke at sunrise?

a) -88°

b) -38°

c) 38°

d) 88°

7. 2.17÷ 0.7

a) 0.31

b) 3.1

c) 30.1

d) 31




8. Katelyn puts $400 into a savings account for 2 years at an interest rate of 2.5%.

Using the formula I = prt, where I = interest, p = principal, r = interest rate, and

t= time in years, how much interest will Katelyn have earned at the end of the two

years?

9. Mike can paint 4 decks in 9 hours. At this rate, how many decks can he paint in 36

hours?

a) 4

b) 6

c) 9

d) 16

10. Which describes |k| on a number line?

a) The point k

b) The opposite of k

c) The distance from -k to k

d) The distance from 0 to k

11. Jane can sell 18 cookies in 3 days. If she continues selling cookies at this rate,

how many cookies can Susan sell in 17 days?

a) 5

b) 6

c) 51

d) 102

a) $20.00

b) $20.25

c) $420.00

d) $425.00




12. Which of the following graphs shows a proportional relationship?

a) b)

c) d)

13. Which represents a proportional relationship?

a) r = 9

b) rt = 11

c) 12 = 1

t

d) 99 = r

t

14. A proportional relationship is represented in the table below. Which of the

following equations represents the same proportional relationship?

x y

0 0

9 3

18 6

27 9

a) y = x

b) y = 3x

c) x = y

d) x = 3y




15. A scale model of a convertible mustang has a scale factor of 1.5 inches = 4 feet.

A part on the convertible mustang's hood is 9 feet long. How long is that same

part on the scale model?

a) 1 inch

b) 3.375 inches

c) 6.375 inches

d) 7 inches

16. Sam can run 12 miles in 3 hours. Which of the following equation represents

this relationship?

a) m = 4h

b) m = 9h

c) m = 15h

d) m = 36h

17. Tina goes shopping and buys 3 pairs of jeans and 2 shirts for a total of $210. If

she receives a 35% discount for spending over $200, how much does she pay for the

clothes?

a) $73.50

b) $136.50

c) $158

d) $165

18. A car that originally sold for $17,000 was discounted and now sells for $13,600.

What was the percent of the discount on the car?

a) 20%

b) 25%

c) 30%

d) 35%

19. Evaluate the following expression:

-11(8 – 6) + 16 ÷ 22

a) -18

b) -1

c) 1

d) 26




20. Evaluate the expression 5h2

+ 15rh – 11r + 13 when h = 2 and r = -1.

a) -8

b) 14

c) 22

d) 37

21. Simplify the following expression:

3(4 t ) - (13)52 + 8t ÷ 2

c) t -118

d) t -313

e) 5t -118

f) 5t -313

22. Evaluate the expression 2a3 - 14a

2 + 2ab - 5a + 12 when a = 2 and b = -3.

a) -730

b) -54

c) -50

d) -7

23. Solve for t: 3t – 6 = 48

a) 3

b) 14

c) 18

d) 24

24. Solve for b: 6b – 8 = 3b + 19

a) -9

b) -3

c) 3

d) 9




25. Alia watches TV between 60 and 120 minutes each Tuesday. On Wednesday, she

watches twice as much TV as she did on Tuesday. Which of the following

expressions represent the amount of TV watching Alia did on Wednesday?

a) 60 < x

< 120 2

b) 60 < 2x < 120

c) 60 > x

> 120 2

d) 60 > 2x > 120

26. 35% of what number is 28?

a) 7

b) 9

c) 80

d) 98

27. A circle has a diameter of 8 inches. What is the circumference of the circle

(use π = 3.14)?

a. 12.56 in.

b. 25.12 in.

c. 50.24 in.

d. 200.96 in.

28. The volume of a cylinder is approximately 88 cm3. If the height is 7 cm, find the

radius (use π = 3.14).

a) 2 cm

b) 3 cm

c) 4 cm

d) 5 cm

29. The height of a cylinder is the same as its radius. Which expression below

represents the surface area of the cylinder?

a) 2πr2

b) 3πr2

c) 4πr2

d) 5πr2




Use the figures to answer question 30.

D A

4 4 8 8

B C 8 E

16 F

30. What is the scale factor of ΔABC to ΔDEF?

a) 1:2

b) 3:4

c) 3:8 d) 3:16

Use the figures to answer question 31.

P

J

3 3 12

K L

6 Q R

31. If ΔJKL ~ ΔPQR, JK = JL = 3 ft., KL = 6 ft., and PQ = 12 ft., what is the

perimeter of ΔPQR?

a) 12 ft.

b) 24 ft.

c) 48 ft.

d) 60 ft.




32. A map uses a scale factor of 1.5 cm = 20 miles. If two cities are 15 cm apart on

the map, how far apart are the two cities in real life?

a) 15 miles

b) 60 miles

c) 200 miles

d) 300 miles

Use the grid to answer question 33.

33. The translation (x, y) ! (x " 2, y + 3) was used to move ΔJKL to ΔJ’K’L’.

The coordinate grid above shows ΔJ’K’L’. What are the coordinates of point J?

a) (-1, -5)

b) (-5, 1)

c) (0, 0)

d) (1, 0)




The following stem-and-leaf plot represents heights (in inches) in Taylor’s class.

Use the plot for questions 34-36.

Stem Leaf

4 8, 8, 9, 9, 9

5 3, 7, 7, 8, 9, 9

6 2, 2, 4, 6

34. What is the mean height of the students in the class?

a) 54 in.

b) 55 in.

c) 56 in.

d) 57 in.

35. What is the median height of the students in the class?

a) 56 in.

b) 57 in.

c) 58 in.

d) 59 in.

36. If a new student came into the class who was 48 in. tall, what would happen to the

mean of this data set?

a) The mean would decrease

b) The mean would stay the same

c) The mean would increase

d) There isn’t enough information to tell




Use the chart to answer question 37.

37. What information can be determined from the histogram above?

a) The number of companies that have less than 20 employees

b) The number of employees in each company

c) The number of companies that have from 51 and 60 employees

d) The number of companies that have from 81 and 100 employees

Use the figure to answer question 38.

5 cm

38. What is the probability that a dart thrown at the figure above will land in

the shaded portion (rounded to the nearest percent)?

a) 22% b) 25% c) 54% d) 79%




39. When flipping 3 coins, what is the probability of getting 3 tails?

a) 1/8

b) 1/3

c) 3/8

d) 1/2

Use the spinner to answer question 40.

40. Matt spins the spinner above 400 times and it lands on six 43 times. How many

times out of the 400 spins would you predict the spinner to land on six?

a) 6

b) 50

c) 43

d) 66

pioneer press newspapers in education 2013 seventh grade...

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