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STAAR Math Grade 7

One hundred eight questions on proportions, rational numbers, equations, inequalities, circles, and probability.

These questions are original. This is not an official STAAR test, and FreeExam is not affiliated with the Texas Education Agency.

  1. 1.What is −3/4 + 1/2?

  2. 2.What is −2/5 − 1/5?

  3. 3.What is 1/3 − (−2/3)?

  4. 4.What is −2 × 3/4?

  5. 5.What is −5/6 ÷ 1/3?

  6. 6.What is −4.8 + 1.25?

  7. 7.What is 2.4 − 5.7?

  8. 8.What is −1.5 × 0.4?

  9. 9.What is −8.4 ÷ 2.1?

  10. 10.Which number is greatest: −0.6, −2/3, −0.5, or −3/4?

  11. 11.What is |−6| + |−3|?

  12. 12.An account balance is −$18. A deposit of $7 is made, and then $4 is withdrawn. What is the new balance?

  13. 13.The temperature is −8°F. It rises 12 degrees, then falls 5 degrees. What is the temperature then?

  14. 14.What is 2/3 of −18?

  15. 15.Which improper fraction equals −3 1/4?

  16. 16.What is (−4) × (−0.25)?

  17. 17.y is proportional to x, and y = 10 when x = 4. What is the constant of proportionality?

  18. 18.Solve 3/8 = n/20.

  19. 19.A proportional relationship passes through (2, 6). What is the unit rate of y per 1 unit of x?

  20. 20.A bakery uses 5 cups of flour for every 2 loaves. How many cups of flour are needed for 7 loaves?

  21. 21.Which set of pairs (x, y) shows y proportional to x?

  22. 22.A bus travels 90 miles in 2 hours at a constant speed. How far does it travel in 5 hours?

  23. 23.Eight ounces of cheese cost $3.20. At the same price, what do 5 ounces cost?

  24. 24.The pairs (6, 15) and (10, n) are in a proportional relationship. What is n?

  25. 25.A ride costs $3 plus $2 for each mile. Is the total cost proportional to the number of miles?

  26. 26.Solve 5/n = 2/6.

  27. 27.Store A sells 3 notebooks for $4.50. Store B sells 5 notebooks for $7. Which store has the lower price per notebook?

  28. 28.Two liters of concentrate make 9 liters of drink. How many liters of concentrate are needed to make 27 liters of drink?

  29. 29.A lamp costs $48 before a 6% sales tax. What is the total cost?

  30. 30.A meal costs $36. A 15% tip is added. How much is the tip?

  31. 31.A jacket priced at $80 is on sale for 30% off. What is the sale price?

  32. 32.A shop buys a vase for $25 and marks the price up by 40%. What is the selling price?

  33. 33.How much simple interest is earned on $400 at 5% per year for 2 years?

  34. 34.A length is measured as 47 centimeters. The actual length is 50 centimeters. What is the percent error?

  35. 35.A town's population grows from 200 to 250. What is the percent increase?

  36. 36.A price falls from $90 to $72. What is the percent decrease?

  37. 37.15% of a number is 12. What is the number?

  38. 38.A $100 item is discounted 10%, and then the sale price is discounted another 10%. What is the final price?

  39. 39.A seller earns an 8% commission on $250 of sales. How much is the commission?

  40. 40.A $20 lunch has a 10% tax added. A 10% tip is then calculated on the after-tax amount. What is the total paid?

  41. 41.Grade 7 is 40% of a school. Of the grade 7 students, 25% are in band. What percent of the whole school is in grade 7 band?

  42. 42.After a 20% discount, a shirt costs $32. What was the original price?

  43. 43.Solve 3x + 5 = 26.

  44. 44.Solve −2n + 4 = 18.

  45. 45.Solve 5x + 2 = 2x + 14.

  46. 46.Solve 4(y − 3) = 20.

  47. 47.Solve (2/3)m = 10.

  48. 48.Solve 0.5x − 1.5 = 2.

  49. 49.Solve 6n − 2n + 3 = 19.

  50. 50.A number is tripled, and then 7 is subtracted. The result is 11. What is the number?

  51. 51.A rectangle's length is 3 centimeters more than its width. The perimeter is 26 centimeters. What is the width?

  52. 52.Wren is 4 years older than Cass. Their ages add up to 28. How old is Cass?

  53. 53.Solve x/4 + 3 = 1.

  54. 54.Which value of x makes 2(x + 1) = x + 7 true?

  55. 55.Which number is a solution of x + 6 > 10?

  56. 56.Which inequality is equivalent to −3n ≤ 12?

  57. 57.Which number is a solution of 2x − 1 < 9?

  58. 58.A shelf can hold at most 20 pounds. A box already on it weighs 7 pounds. Which inequality shows the additional weight, a, that can still be placed on the shelf?

  59. 59.What does y ≥ 3 mean?

  60. 60.Which number is a solution of 4 < n + 1 ≤ 9?

  61. 61.The inequality −5 < 2 is true. Both sides are multiplied by −2. Which result is correct?

  62. 62.Tickets cost $6 each. You have $40 and must keep at least $4 for the bus. What is the greatest whole number of tickets you can buy?

  63. 63.A circle has radius 5 centimeters. What is its circumference, in terms of π?

  64. 64.A circle has radius 6 centimeters. What is its area, in terms of π?

  65. 65.A circle has diameter 14 inches. What is its circumference, in terms of π?

  66. 66.A circle has diameter 10 meters. What is its area, in terms of π?

  67. 67.A semicircle has radius 4 centimeters. What is its area, in terms of π?

  68. 68.A square has sides of 10 centimeters. A circle of radius 5 centimeters fits inside it and touches the middle of each side. What is the area of the square that is outside the circle?

  69. 69.A figure is an 8-inch by 6-inch rectangle with a semicircle attached along one 8-inch side. What is the area of the figure, in terms of π?

  70. 70.One circle has radius 3 and another has radius 5. How much longer is the larger circumference, in terms of π?

  71. 71.Two angles of a triangle measure 48° and 67°. What is the third angle?

  72. 72.What is the complement of a 28° angle?

  73. 73.What is the supplement of a 125° angle?

  74. 74.Two lines cross and form a 73° angle. What is the measure of the angle opposite that one?

  75. 75.An exterior angle of a triangle equals the sum of the two interior angles that are not next to it. Those two angles are 40° and 65°. What is the exterior angle?

  76. 76.A circle has circumference 18π. What is its radius?

  77. 77.On a drawing, 1 centimeter stands for 5 meters. A wall is 4 centimeters long on the drawing. How long is the actual wall?

  78. 78.Two triangles are similar. A pair of corresponding sides measures 6 centimeters and 9 centimeters, with 6 on the smaller triangle. Another side of the smaller triangle is 4 centimeters. What is the corresponding side of the larger triangle?

  79. 79.A figure is enlarged by a scale factor of 3. A side that was 5 centimeters becomes how long?

  80. 80.A figure is enlarged by a scale factor of 2. The original area is 7 square centimeters. What is the new area?

  81. 81.A map uses the scale 1 inch = 8 miles. Two towns are 3.5 inches apart on the map. How far apart are they?

  82. 82.Two rectangles are similar. One is 4 centimeters by 10 centimeters. The other has a shorter side of 6 centimeters. What is its longer side?

  83. 83.Which pair of rectangles is similar?

  84. 84.A figure is reduced by a scale factor of 1/2. The original perimeter is 30 centimeters. What is the new perimeter?

  85. 85.A bag has 3 red marbles, 5 blue marbles, and 2 green marbles. One marble is drawn at random. What is the probability that it is blue?

  86. 86.A bag has 3 red marbles, 5 blue marbles, and 2 green marbles. One marble is drawn at random. What is the probability that it is not red?

  87. 87.The probability of rain tomorrow is 0.2. What is the probability that it does not rain?

  88. 88.Two fair coins are flipped. What is the probability of getting exactly one head?

  89. 89.A fair number cube numbered 1 through 6 is rolled. What is the probability of rolling a number greater than 4?

  90. 90.A spinner is used 40 times and lands on red 10 times. What is the experimental probability of red?

  91. 91.A spinner has a 1/4 chance of landing on A. A separate fair coin has a 1/2 chance of landing on heads. If the two are independent, what is the probability of A and heads?

  92. 92.A fair number cube is rolled twice. What is the probability that both rolls are 6?

  93. 93.A card is drawn at random from cards numbered 1 through 10. What is the probability that the number is even or greater than 8?

  94. 94.A lunch offers soup or salad, and then water or milk. How many different meal combinations are there?

  95. 95.A fair number cube is numbered 1 through 6. Which event has probability 0?

  96. 96.The probability of winning one round is 3/5. In 40 rounds, how many wins should be expected?

  97. 97.What is the mean of 6, 11, 5, 14, and 4?

  98. 98.What is the median of 2, 9, 4, 7, and 15?

  99. 99.What is the mean absolute deviation of 3, 5, 7, and 9?

  100. 100.A school has 600 students. Which plan best estimates a typical student's opinion of the lunch menu?

  101. 101.The question is whether the school should spend more money on sports. Which survey is biased?

  102. 102.Four test scores have a mean of 80. A fifth score is 90. What is the mean of all five scores?

  103. 103.Team A scored 10, 10, 10, and 10. Team B scored 2, 8, 12, and 18. Both teams have a mean of 10. Which team's scores vary more?

  104. 104.A random sample of five trees has heights 12, 14, 13, 15, and 16 feet. From this sample, what is the best estimate of a typical tree height?

  105. 105.The values are 4, 5, 4, 6, and 20. Which measure better describes a typical value in this set?

  106. 106.Class A and Class B both have a mean of 12. The mean absolute deviation is 1 for Class A and 4 for Class B. Which class is more spread out?

  107. 107.Two random samples are taken from the same population to estimate the mean. One sample has 5 values and the other has 50. Which estimate is more reliable?

  108. 108.In a random sample of 80 students, 20 walk to school. About how many of 400 students would you expect to walk?