Texas Academic Pentathlon
7th Grade Math Practice Test
2015-2016
Any basic four-function or scientific calculator that is one of the brands approved in the TAD Pentathlon manual is acceptable for use on this test. Only one calculator may be brought into the math test; however, you may bring extra batteries. Students may not exchange calculators. Students may take the math test without a calculator.
1. The school estimates that 7 out of 17 students will stay for the game after school. What percent of students are expected to attend the volleyball game?
a) 38%
b) 54%
c) 10%
d) 24%
e) 41%
2. Cherries are on sale for $2.79 a pound. Rachel wants to buy 3 pounds. About how much money will she spend?
a) less than $7.50
b) between $7.50 and $8.00
c) between $8.00 and $8.50
d) between $8.50 and $9.00
e) more than $9.00
3. Convert 3.7 kilograms to grams.
a) 0.037 g
b) 0.37 g
c) 37 g
d) 370 g
e) 3700 g
4. The area of a triangle is 40 square inches. If the base is 8 inches, what is the height of the triangle?
a) 4
b) 10
c) 8
d) 5
e) 6
5. Jenna is painting a rectangular wall that is 12 ft. high and 22 ft. long. One can of paint covers 150 sq. ft. and costs $12.99. Approximately how much will the paint cost if she plans on painting two coats?
a) $ 26
b) $ 260
c) $ 52
d) $ 130
e) $ 78
6. Solve. 22314+125
a) 415
b) 512
c) 135
d) 429
e) 425
7. What is the value of the algebraic expression 5+62÷9(2) ?
a) 23
b) 9
c) 18
d) 7
e) 13
8. The 9=3 can be modeled by
Which arrangement of squares could be used to represent 100?
a) 4 rows of 25 squares
b) 20 rows of 5 squares
c) 10 rows of 10 squares
d) 2 rows of 50 squares
e) 5 rows of 20 squares
9. Mrs. Johnson started a training program to prepare for a marathon. Her long runs consisted of a 9-mile run, an 11-mile run, and a 13-mile run. If the pattern continues, how many miles will she run on her sixth long run?
a) 19
b) 21
c) 17
d) 22
e) 23
10. Which number is between 720 and25?
a) 0.25
b) 0.37
c) 0.14
d) 0.32
e) 0.30
11. For six consecutive days in June, the low temperatures were 73°F, 68°F, 78°F, 73°F, 66°F, and 70°F. What was the mean temperature for these six days?
a) 78°F
b) 73°F
c) 72°F
d) 71°F
e) 12°F
12. Order the following numbers in order from least to greatest. 0.087, -0.08, 0.0087, 0.7, -8.7
a) -0.08, 0.087, 0.0087, 0.7, -8.7
b) -8.7, -0.08, 0.0087, 0.087, 0.7
c) -8.7, 0.087, -0.08, 0.0087, 0.7
d) 0.0087, 0.087, 0.7, -0.08, -8.7
e) 0.087, -0.08, 0.0087, 0.7, -8.7
13. If the diameter of a circle is 14 inches, find the area of the circle. (Use 3.14 for π)
a) 615.44 in2
b) 6154.4 in2
c) 153.86 in2
d) 1538.6 in2
e) 43.96 in2
14. Between which two consecutive whole numbers does 50 lie?
a) 5 and 5.5
b) 6 and 6.5
c) 7 and 7.5
d) 7.5 and 8
e) 8 and 8.5
15. Fred has a set of Uno cards numbered 1-10. He selects a card and puts it back into the set. Then he selects another card.
Find the probability P (even, and then less than 4).
a) 320
b) 15
c) 14
d) 910
e) 29
16. A toy manufacture checks a random sample of toys. The company checks 360 toys and finds 9 defective. If the trend continues, which is the best prediction of the number of defective toys in a batch of 2,000?
a) 48
b) 40
c) 50
d) 20
e) 36
17. Susie is setting aside 35% of her allowance to fund a mission trip. What fraction of her allowance does she have left to spend?
a) 920
b) 310
c) 815
d) 1320
e) 135
18. What percent of 150 is 42?
a) 42%
b) 28%
c) 21%
d) 108%
e) 3.5%
19. A number cube is rolled once. What is the probability you roll a multiple of 3?
a) 12
b) 16
c) 23
d) 13
e) 34
20. Sam is using a map, with a scale of 1 inch: 25 miles, while traveling. What distance on the map represents 210 miles?
a) 0.84 in
b) 84 in
c) 8.4 in
d) 11.9 in
e) 1.19 in
21. Which algebraic expression represents the phrase: 6 less than 3 times the number of f
a) 3f-6
b) 6-3f
c) 6f-3
d) 3-6f
e) 6×3-f
22. The length of a rectangle is three times the width. If the width of the rectangle is 7 cm, what is the perimeter of the rectangle?
a) 56 cm
b) 28 cm
c) 42 cm
d) 49 cm
e) 14 cm
23. Given ∆CAT ≅∆FOG, complete the following statement. AT≅ ____?
a) FO
b) CA
c) GO
d) FG
e) CT
24. Which of the following is the best definition of a lateral surface area?
a) distance around a circle
b) sum of the areas of the faces of a solid
c) number of cubic units needed to fill the space inside a solid
d) a number that can be expressed using an exponent
e) number of square units enclosed by a certain shape
25. Carl and Pat are assembling food boxes at the local food bank. They can complete 6 boxes in 18 minutes, continuing at the same rate, how many boxes will they be able to complete if volunteering for 2.5 hours?
a) 25
b) 50
c) 75
d) 83
e) 90
26. Put the following numbers in order from least to greatest. 35%, 38, 23, 0.3, 60%.
a) 35%, 23, 0.3, 60%, 38
b) 60%, 38, 35%, 23, 0.3.
c) 35%, 38, 23, 0.3, 60%.
d) 0.3, 38, 35%, 23, 60%.
e) 0.3, 35%, 38, 60%, 23
27. A clothing store pays $18 for a dress. The store sells the dress for $63. Find the percent of mark-up.
a) 29%
b) 25%
c) 250%
d) 71%
e) 45%
28. It took the basketball team 78 minutes to drive to their game, 25 minutes to warm up, 49 minutes to play the game, and 1 hour and 22 minutes to eat dinner before they drove home. If the team left their school at 3 pm, what is the most reasonable time that the team arrived back at their school?
a) 6:55 pm
b) 7:45 pm
c) 7:55 pm
d) 8:12 pm
e) 9:15 pm
29. Which coordinate below is NOT a solution to the equation y=-13x+7
a) (-3, 8)
b) (6, 5)
c) (3, 6)
d) (-2, 9)
e) (-9, 10)
30. ∠A and ∠B are complementary ∠’s. The measure of ∠A is 57°. What is the measure of ∠B?
a) 123°
b) 33°
c) 43°
d) 57°
e) 53°
31. Each of the letters in the phrase I LOVE ALGEBRA is written on a card. The cards are mixed thoroughly. What is the probability of selecting an A and then an L if the first card is not replaced before selecting the second card?
a) 115
b) 133
c) 413
d) 415
e) 25
32. When the point (4, -8) is graphed on a coordinate plane, in which quadrant does the point lie?
a) Quadrant I
b) Quadrant II
c) Quadrant III
d) Quadrant IV
e) on an axis
33. Which best describes a triangle with all sides congruent?
a) Equiangular
b) Scalene
c) Obtuse
d) Right
e) Isosceles
Use the bar graph to the right to answer questions 34 – 37.
34. How many more students have a part time job working in fast food than babysitting?
a) 3
b) 4
c) 5
d) 6
e) 7
35. How many students surveyed had part time jobs?
a) 56
b) 57
c) 58
d) 60
e) 62
36. Which statement is best supported by the graph?
a) There are twice as many doing lawn maintenance than tutoring.
b) Working in Fast Food is the most fun.
c) Tutoring pays the most.
d) The same number work in the grocery store as work in fast food.
e) There are only 6 part time jobs available to students.
37. Approximately what percentage of students worked as delivery drivers?
a) 10%
b) 20%
c) 13%
d) 16%
e) 12%
Use the circle graph to answer questions 38 – 40.
38. Which parts of the Patrick family budget is equal to the amount spent on rent and utilities?
a) Clothing and transportation
b) Savings and other
c) Food and transportation
d) Food and savings
e) Food and other
39. If the total income is $32,000 a year, how much is spent on transportation?
a) $15,000
b) $4,800
c) $3,200
d) $8,000
e) $2,700
40. Which statement is best supported by the graph?
a) The Patricks do not have any vacation money.
b) The Patricks spend more on rent and utilities than on food and transportation combined.
c) In three years the Patricks will have saved the same amount as they spend on food in two years.
d) The Patricks spend the same amount on clothing as they do on transportation.
e) The Patricks spend 17 of their rent and utilities on “other” expenses.
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