STAAR Grade 7 Math — Practice Test 1

Probability & Numerical Representations

Choose the best answer or type the correct number. (No calculator for this section.)

1. A spinner has 8 equal sections numbered 1 through 8. What is the probability of spinning a number greater than 5?

2. A bag contains 4 red marbles, 3 blue marbles, and 5 green marbles. One marble is drawn at random. What is the probability the marble is NOT blue?

3. Mia rolled a fair 6-sided number cube 60 times. Theoretically, about how many times should she expect to roll a 4?

4. Which of the following numbers is an example of an integer that is NOT a whole number?

5. A class survey records each student's favorite season. The probability that a randomly chosen student picks summer is 0.40. If there are 25 students, how many are predicted to pick summer? (Type a whole number.)

6. A standard deck has 52 cards: 13 cards in each of 4 suits. The probability of drawing a heart is 13/52. Express this probability as a percent. (Type a whole number, no percent sign.)

Proportions & Percents

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7. A car travels 120 miles on 4 gallons of gas. What is the constant of proportionality (miles per gallon)?

8. A jacket originally costs $80. The store offers a 25% discount. What is the sale price?

9. The price of a video game increased from $40 to $50. What is the percent increase?

10. On a map, 1 inch represents 50 miles. Two cities are 3.5 inches apart on the map. How far apart are the cities in real life?

11. A restaurant bill is $40. The customer leaves a 15% tip. What is the total amount paid?

12. A 6-pack of bottled water costs $4.50. At the same unit rate, how much does a 10-pack cost?

13. A shirt is marked up 20% from its wholesale price of $25. What is the retail price? (Type a whole number in dollars.)

Equations & Inequalities [Calculator allowed]

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[Calculator allowed]

14. Solve. 3x + 7 = 22

15. Solve. (x / 4) − 2 = 5

16. Which inequality represents this situation: "Lin needs at least $80 to buy a gift. She has saved $35 and earns $5 per hour babysitting. How many hours h must she babysit?"

17. Solve. 2x − 9 < 7

18. A taxi charges a $3 base fare plus $2 per mile. Which equation gives the total cost C for m miles?

19. Compute. (−3.5) + 4.2 − (−1.3)

20. Solve for n. 6n − 4 = 2n + 16 (Type a whole number.)

Geometry & Measurement [Calculator allowed]

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[Calculator allowed]

21. Find the circumference of a circle with radius 5 cm. Use π = 3.14.

22. Find the area of a circle with diameter 10 in. Use π = 3.14.

23. Two triangles are similar. The smaller triangle has a side of 4 cm corresponding to a side of 12 cm in the larger triangle. If another side of the smaller triangle is 5 cm, what is the corresponding side of the larger triangle?

24. Find the volume of a rectangular prism with length 8 cm, width 5 cm, and height 3 cm.

25. A triangular prism has a triangular base with base 6 m and height 4 m, and the prism's length is 10 m. Find the volume. (V = ½ × b × h × L)

26. A composite figure is made of a rectangle (8 ft by 5 ft) attached to a square (5 ft by 5 ft) along one side. What is the total area? (Type a whole number in square feet.)

27. Find the circumference of a circle with diameter 20 m. Use π = 3.14. (Type a number in meters.)

Data Analysis & Personal Financial Literacy [Calculator allowed]

Choose the best answer or type the correct number. (A calculator is allowed for this section.)

[Calculator allowed]

28. Class A's box plot for test scores shows: min 60, Q1 70, median 78, Q3 86, max 95. Class B has the same minimum and maximum, but a median of 85. Which statement is BEST supported?

29. A school has 600 students. A random sample of 50 students shows that 18 walk to school. Based on this sample, predict how many students in the whole school walk to school.

30. Maria deposits $500 in a savings account that earns 4% simple interest per year. How much interest will she earn after 3 years? (I = P × r × t)

31. The Lopez family has a monthly take-home income of $4,000. They budget 30% for housing, 15% for food, 10% for transportation, and the rest for savings and other categories. How much do they budget for housing each month?

32. A laptop costs $700 and the sales tax rate is 8%. What is the total cost including tax? (Type a number in dollars, no $ sign.)

Probability & Numerical Representations

Proportions & Percents

Equations & Inequalities [Calculator allowed]

Geometry & Measurement [Calculator allowed]

Data Analysis & Personal Financial Literacy [Calculator allowed]

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