## Full Length STAAR Grade 7 Practice Test

If you want to prepare for the STAAR Grade 7 Practice Test? It’s time to taking a Full-length STAAR Grade 7 Practice Test. It is the best way to simulate test day. To challenge your skills and simulate the full length STAAR Grade 7 Practice Test day experience, score your tests using the answer keys.

### STAAR Grade 7 Math Comprehensive Prep Bundle

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## STAAR Practice Test 1

1- What is the area of the shaded region?
(A) $$9 \ π$$ cm$$^2$$
(B) $$25 \ π$$ cm$$^2$$
(C) $$39 \ π$$ cm$$^2$$
(D) $$64 \ π$$ cm$$^2$$
2- A pizza cut into $$8$$ parts. William and his sister Ella ordered two pizzas. William ate $$\frac{1}{4}$$ of his pizza and Ella ate $$\frac{1}{2}$$ of her pizza. What part of the two pizzas was left?
(A) $$\frac{1}{2}$$
(B) $$\frac{1}{3}$$
(C) $$\frac{3}{8}$$
(D) $$\frac{5}{8}$$
3- Simplify $$3 \ y^2 \ (2 \ x^2 \ y)^4=$$
(A) $$12 \ x^4 \ y^6$$
(B) $$12 \ x^8 \ y^6$$
(C) $$48 \ x^4 \ y^6$$
(D) $$48 \ x^8 \ y^6$$
4- Right triangle ABC has two shorter legs of lengths $$8$$ cm (AB) and $$15$$ cm (AC). What is the length of the third side (BC)?
(A) $$10$$ cm
(B) $$15$$ cm
(C) $$16$$ cm
(D) $$17$$ cm
5- The marked price of a computer is D dollar. Its price decreased by $$20\%$$ in January and later increased by $$10\%$$ in February. What is the final price of the computer in D dollar?
(A) $$0.80$$ D
(B) $$0.88$$ D
(C) $$0.90$$ D
(D) $$1.20$$ D
6- $$\left[ \ 6 \ × \ (– \ 24) \ + \ 12 \ \right] \ – \ (4) \ + \ \left[ \ 4 \ × \ 5 \ \right] \ ÷ \ 2 =$$?
(A) -126
(B) - 126
(C) - 126
(D) -126
7- The area of a circle is $$64 \ π$$. What is the circumference of the circle?
(A) $$8$$ π
(B) $$16$$ π
(C) $$32$$ π
(D) $$64$$ π
8- A $$40$$ shirt now selling for $$28$$ is discounted by what percent?
(A) $$20\%$$
(B) $$30\%$$
(C) $$40\%$$
(D) $$60\%$$
9- From last year, the price of gasoline has increased from $$1.25$$ per gallon to $$1.75$$ per gallon. The new price is what percent of the original price?
(A) $$72\%$$
(B) $$120\%$$
(C) $$140\%$$
(D) $$160\%$$
10- If $$40\%$$ of a class are girls, and $$25\%$$ of girls play tennis, what fraction of the class play tennis?
(A) $$10\%$$
(B) $$15\%$$
(C) $$20\%$$
(D) $$40\%$$
11- What is the median of these numbers? $$2, \ 28, \ 28, \ 19, \ 67, \ 44, \ 35$$
(A) $$19$$
(B) $$28$$
(C) $$44$$
(D) $$35$$
12- Last week $$24,000$$ fans attended a football match. This week three times as many bought tickets, but one sixth of them cancelled their tickets. How many are attending this week?
(A) $$48,000$$
(B) $$54,000$$
(C) $$60,000$$
(D) $$72,000$$
13- The following trapezoid are similar. What is the value of $$x$$ ?
(A) $$7$$
(B) $$8$$
(C) $$18$$
(D) $$45$$
14- If $$x=- \ 8$$, which equation is true?
(A) $$x \ (2 \ x − \ 4)=120$$
(B) $$8 \ (4 \ − \ x)=96$$
(C) $$2 \ (4 \ x \ + \ 6)=79$$
(D) $$6 \ x \ − \ 2=− \ 46$$
15- In a bag of small balls $$\frac{1}{3}$$ are black, $$\frac{1}{6}$$  are white, $$\frac{1}{4}$$ are red and the remaining $$12$$ blue. How many balls are white?
(A) $$8$$
(B) $$12$$
(C) $$16$$
(D) $$24$$
16- A boat sails $$40$$ miles south and then $$30$$ miles east. How far is the boat from its start point?
(A) $$45$$
(B) $$50$$
(C) $$60$$
(D) $$70$$
17- Sophia purchased a sofa for $$530.40$$. The sofa is regularly priced at $$624$$. What was the percent discount Sophia received on the sofa?
(A) $$12\%$$
(B) $$15\%$$
(C) $$20\%$$
(D) $$25\%$$
18- The score of Emma was half as that of Ava and the score of Mia was twice that of Ava. If the score of Mia was $$60$$, what is the score of Emma?
(A) $$12$$
(B) $$15$$
(C) $$20$$
(D) $$30$$
19- A bag contains $$18$$ balls: two green, five black, eight blue, a brown, a red and one white. If $$17$$ balls are removed from the bag at random, what is the probability that a brown ball has been removed?
(A) $$\frac{1}{9}$$
(B) $$\frac{1}{6}$$
(C) $$\frac{16}{17}$$
(D) $$\frac{17}{18}$$
20- A rope weighs $$600$$ grams per meter of length. What is the weight in kilograms of $$12.2$$ meters of this rope? ($$1$$ kilograms $$= 1000$$ grams)
(A) $$0.0732$$
(B) $$0.732$$
(C) $$7.32$$
(D) $$7,320$$

### 5 Full-Length STAAR Grade 7 Math Practice Tests

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21- A chemical solution contains $$4\%$$ alcohol. If there is $$24$$ ml of alcohol, what is the volume of the solution?
(A) $$240$$ ml
(B) $$480$$ ml
(C) $$600$$ ml
(D) $$1200$$ ml
22- The price of a laptop is decreased by $$10\%$$ to $$360$$. What is its original price?
(A) $$320$$
(B) $$380$$
(C) $$400$$
(D) $$450$$
23- What is the median of these numbers? $$4, \ 9, \ 13, \ 8, \ 15, \ 18, 5$$
(A) $$8$$
(B) $$9$$
(C) $$13$$
(D) $$15$$
24- Three times the price of a laptop is equal to five times the price of a computer. If the price of laptop is $$200$$ more than the computer, what is the price of the computer?
(A) $$300$$
(B) $$500$$
(C) $$800$$
(D) $$1500$$
25- What is the perimeter of a square that has an area of $$595.36$$ feet?
(A) 97.6
(B) 97.6
(C) 97.60
26- Jason is $$9$$ miles ahead of Joe running at $$5.5$$ miles per hour and Joe is running at the speed of $$7$$ miles per hour. How long does it take Joe to catch Jason?
(A) $$3$$ hours
(B) $$4$$ hours
(C) $$6$$ hours
(D) $$8$$ hours
27- $$55$$ students took an exam and $$11$$ of them failed. What percent of the students passed the exam?
(A) $$20\%$$
(B) $$40\%$$
(C) $$60\%$$
(D) $$80\%$$
28- Jason needs an $$75\%$$ average in his writing class to pass. On his first $$4$$ exams, he earned scores of $$68\%, \ 72\%, \ 85\%$$, and $$90\%$$. What is the minimum score Jason can earn on his fifth and final test to pass?
(A) 60
(B) 60
(C) 60.0
29- A bank is offering $$3.5\%$$ simple interest on a savings account. If you deposit $$12,000$$, how much interest will you earn in two years?
(A) $$420$$
(B) $$840$$
(C) $$4200$$
(D) $$8400$$
30- $$5$$ less than twice a positive integer is $$83$$. What is the integer?
(A) $$39$$
(B) $$41$$
(C) $$42$$
(D) $$44$$
31- Which of the following points lies on the line $$4 \ x \ + \ 6 \ y=14$$?
(A) $$(2, \ 1)$$
(B) $$(– \ 1, \ 3)$$
(C) $$(– \ 3, \ 4)$$
(D) $$(2, \ 2)$$
32- How many possible outfit combinations come from six shirts, three slacks, and five ties?
(A) 90
(B) 90
(C) 90.0
33- An angle is equal to one fifth of its supplement. What is the measure of that angle?
(A) $$20$$
(B) $$30$$
(C) $$45$$
(D) $$60$$
34- John traveled $$150$$ km in $$6$$ hours and Alice traveled $$180$$ km in $$4$$ hours. What is the ratio of the average speed of John to average speed of Alice?
(A) $$3 : 2$$
(B) $$2 : 3$$
(C) $$5 : 9$$
(D) $$5 : 6$$
35- In a party, $$10$$ soft drinks are required for every $$12$$ guests. If there are $$252$$ guests, how many soft drink is required?
(A) $$21$$
(B) $$105$$
(C) $$210$$
(D) $$2510$$
36- You can buy $$5$$ cans of green beans at a supermarket for $$3.40$$. How much does it cost to buy $$35$$ cans of green beans?
(A) $$17$$
(B) $$23.80$$
(C) $$34.00$$
(D) $$119$$
37- $$1.2$$ is what percent of $$24$$?
(A) $$1.2$$
(B) $$5$$
(C) $$12$$
(D) $$24$$
38- Joe scored $$20$$ out of $$25$$ marks in Algebra, $$30$$ out of $$40$$ marks in science and $$68$$ out of $$80$$ marks in mathematics. In which subject his percentage of marks is best?
(A) Algebra
(B) Science
(C) Mathematics
(D) Algebra and Science
39- What is the volume of the following square pyramid?
(A) $$120$$ m$$^3$$
(B) $$144$$ m$$^3$$
(C) $$480$$ m$$^3$$
(D) $$1440$$ m$$^3$$
40- Robert is preparing to run a marathon. He runs $$7 \ \frac{1}{5}$$ miles on Saturday and two times that many on Monday and Wednesday. Robert wants to run a total of $$60$$ miles this week. How many more miles does he need to run?
 1- Choice C is correct The correct answer is $$39 \ π$$ cm$$^2$$To find the area of the shaded region, find the difference of the area of two circles.(S$$_{1}$$: the area of bigger circle. S$$_{2}$$: the area of the smaller circle)Use the area of circle formula.S $$= π \ r^2$$ S$$_{1} \ -$$ S$$_{2} = π \ ( 5 \ + \ 3$$cm)$$^2 \ - \ π \ (5$$ cm)$$^2 ⇒$$S$$_{1} \ -$$ S$$_{2} = π \ 64$$ cm$$^2 \ - \ π \ 25$$ cm$$^2 ⇒$$S$$_{1} \ -$$ S$$_{2} = 39 \ π$$ cm$$^2$$ 2- Choice D is correct The correct answer is $$\frac{5}{8}$$William ate $$\frac{1}{4}$$ of $$8$$ parts of his pizza that it means $$2$$ parts out of $$8$$ parts ( $$\frac{1}{4}$$ of $$8$$ parts $$= x ⇒ x = 2$$) and left $$6$$ parts.Ella ate $$\frac{1}{2}$$ of $$8$$ parts of her pizza that it means $$4$$ parts out of $$8$$ parts ( $$\frac{1}{2}$$ of $$8$$ parts $$= x ⇒ x = 4$$) and left $$4$$ parts.Therefore, they ate $$(4 \ + \ 2)$$ parts out of $$(8 \ + \ 8)$$ parts of their pizza and left $$(6 \ + \ 4)$$ parts out of $$(8 \ + \ 8)$$ parts of their pizza.It means: $$\frac{ 10}{16}$$After simplification we have: $$\frac{5}{8}$$ 3- Choice D is correct The correct answer is $$48 \ x^8 \ y^6$$Simplify. $$3 \ y^2 \ (2 \ x^2 \ y)^4=$$$$3 \ y^2 \ (16 \ x^8 \ y^4 ) =$$$$48 \ x^8 \ y^6$$ 4- Choice D is correct The correct answer is $$17$$ cmUse Pythagorean Theorem: $$a^2 \ + \ b^2 = c^2$$$$8^2 \ + \ 15^2 = c^2 ⇒$$$$64 \ + \ 225 = c^2 ⇒$$$$c^2 =289 ⇒$$$$c=17$$ 5- Choice B is correct The correct answer is $$0.88$$ DTo find the discount, multiply the number by ($$100\% \ –$$ rate of discount).Therefore, for the first discount we get: (D) $$(100\% \ – \ 20\%) =$$ (D) $$(0.80) = 0.80$$ DFor increase of $$10\%: \ (0.80$$ D) $$(100\% \ + \ 10\%) = (0.85$$ D) $$(1.10) = 0.88$$ D $$= 88\%$$ of D 6- Choice D is correct The correct answer is $$– \ 126$$Use PEMDAS (order of operation):$$\left[ \ 6 \ × \ (– \ 24) \ + \ 12 \ \right] \ – \ (4) \ + \ \left[ \ 4 \ × \ 5 \ \right] \ ÷ \ 2 =$$$$\left[ \ – \ 144 \ + \ 12 \ \right] \ – \ 4 \ + \ \left[ \ 20 \ \right] \ ÷ \ 2 =$$ $$\left[ \ – \ 144 \ + \ 12 \ \right] \ – \ 4 \ + \ 10 =$$ $$\left[ \ – \ 132 \ \right] \ – \ 4 \ + \ 10 = \left[ \ – \ 132 \ \right] \ – \ 4 \ + \ 10 = – \ 126$$ 7- Choice B is correct The correct answer is $$16 \ π$$Use the formula of areas of circles. Area $$= π \ r^2 ⇒$$$$64 \ π = π \ r^2 ⇒$$$$64 = r^2 ⇒ r = 8$$Radius of the circle is $$8$$.Now, use the circumference formula:Circumference $$= 2 \ π \ r = 2 \ π \ (8) = 16 \ π$$ 8- Choice B is correct The correct answer is $$30\%$$Use the formula for Percent of Change$$\frac{New \ Value-Old \ Value}{Old \ Value} \ × \ 100\%$$$$\frac{28 \ - \ 40}{40} \ × \ 100\% = \ – \ 30\%$$ (negative sign here means that the new price is less than old price). 9- Choice C is correct The correct answer is $$140\%$$The question is this:$$1.75$$ is what percent of $$1.25$$?Use percent formula:part $$= \frac{percent}{100} \ ×$$ whole$$= \frac{percent}{100} \ × 1.25 ⇒$$$$1.75 = \frac{percent \ × \ 1.25}{100} ⇒$$$$175 =$$ percent $$× \ 1.25 ⇒$$percent $$= \frac{175}{1.25} = 140$$ 10- Choice A is correct The correct answer is $$10\%$$Let $$x$$ be the amount of students in the class.$$40\%$$ of $$x =$$ girls$$25\%$$ of girls $$=$$ tennis playerFind $$25\%$$ of $$40\%$$. Then:$$25\%$$ of $$40\%=0.25 \ × \ 0.40=0.10=10\%$$ 11- Choice B is correct The correct answer is $$28$$Write the numbers in order:$$2, \ 19, \ 28, \ 28, \ 35, \ 44, \ 67$$Since we have $$7$$ numbers ($$7$$ is odd), then the median is the number in the middle, which is $$28$$. 12- Choice C is correct The correct answer is $$60000$$Three times of $$24,000$$ is $$72,000$$.One sixth of them cancelled their tickets.One sixth of $$72,000$$ equals $$12,000 (1/6 \ × \ 72000 = 12000)$$. $$60,000 (72000 \ – \ 12000 = 60000)$$ fans are attending this week 13- Choice A is correct The correct answer is $$7$$Write the ratio and solve for $$x$$.$$\frac{45}{40} =\frac{2 \ x \ + \ 4}{16} ⇒$$$$40 \ (2 \ x \ + \ 4)=45 \ × \ 16 ⇒ x=7$$ 14- Choice B is correct The correct answer is $$8 \ (4 \ − \ x)=96$$Only option B is correct. Other options don’t work in the equation. $$8 \ (4 \ - \ (- \ 8))=96$$ 15- Choice A is correct The correct answer is $$8$$Let $$x$$ be the number of balls. Then:$$\frac{1}{3} \ x \ + \ \frac{1}{6} \ x \ + \ \frac{1}{4} \ x \ + \ 12 = x$$$$(\frac{1}{3} \ + \ \frac{1}{6} \ + \ \frac{1}{4}) \ x \ + \ 12 = x$$$$(\frac{9}{12}) \ x + 12 = x$$$$x = 48$$In the bag of small balls $$\frac{1}{6}$$ are white, then: $$\frac{48}{6} = 8$$There are $$8$$ white balls in the bag. 16- Choice B is correct The correct answer is $$50$$Use the information provided in the question to draw the shape.Use Pythagorean Theorem: $$a^2 \ + \ b^2 = c^2$$$$40^2 \ + \ 30^2 = c^2 ⇒$$$$1600 \ + \ 900 = c^2 ⇒$$$$2500 = c^2 ⇒$$$$c = 50$$ 17- Choice B is correct The correct answer is $$15\%$$The question is this:$$530.40$$ is what percent of $$624$$?Use percent formula:part $$= \frac{percent}{100} \ ×$$ whole$$530.40 =\frac{ percent}{100} \ × 624 ⇒$$$$530.40 = \frac{percent \ × \ 624}{100} ⇒$$$$53040 =$$ percent $$× \ 624 ⇒$$ percent $$= \frac{53040}{624 }= 85$$$$530.40$$ is $$85\%$$ of $$624$$.Therefore, the discount is: $$100\% \ – \ 85\% = 15\%$$ 18- Choice B is correct The correct answer is $$15$$If the score of Mia was $$60$$, then the score of Ava is $$30$$.Since, the score of Emma was half as that of Ava, therefore, the score of Emma is $$15$$. 19- Choice D is correct The correct answer is $$\frac{17}{18}$$If $$17$$ balls are removed from the bag at random, there will be one ball in the bag. The probability of choosing a brown ball is $$1$$ out of $$18$$.Therefore, the probability of not choosing a brown ball is $$17$$ out of $$18$$ and the probability of having not a brown ball after removing $$17$$ balls is the same. 20- Choice C is correct The correct answer is $$7.32$$The weight of $$12.2$$ meters of this rope is: $$12.2 \ × \ 600$$ g $$= 7320$$ g$$1$$ kg $$= 1000$$ g, therefore, $$7320$$ g $$÷ \ 1000 = 7.32$$ kg 21- Choice C is correct The correct answer is $$600$$ ml$$4\%$$ of the volume of the solution is alcohol.Let $$x$$ be the volume of the solution. Then: $$4\%$$ of $$x = 24$$ ml $$⇒$$$$0.04 \ x = 24 ⇒$$$$x = 24 \ ÷ \ 0.04 = 600$$ 22- Choice C is correct The correct answer is $$400$$Let $$x$$ be the original price. If the price of a laptop is decreased by $$10\%$$ to $$360$$, then: $$90\%$$ of $$x=360 ⇒$$$$0.90 \ x=360 ⇒$$$$x=360 \ ÷ \ 0.90=400$$ 23- Choice B is correct The correct answer is $$9$$Write the numbers in order:$$4, \ 5, \ 8, \ 9, \ 13, \ 15, \ 18$$Since we have $$7$$ numbers ($$7$$ is odd), then the median is the number in the middle, which is $$9$$. 24- Choice A is correct The correct answer is $$300$$Let $$L$$ be the price of laptop and $$C$$ be the price of computer.$$3 \ (L) =5 \ (C)$$ and $$L = 200 \ + \ C$$ Therefore, $$3 \ (200 \ + \ C) =5 \ C ⇒$$$$600 \ + \ 3C = 5C ⇒$$$$C=300$$ 25- Choice C is correct The correct answer is $$97.6$$Use the area of square formula.S $$= a^2 ⇒ 595.36 = a^2 ⇒ a = 24.4$$One side of the square is $$24.4$$ feet.Use the perimeter of square formula.P $$= 4 \ a ⇒$$ P $$= 4(24.4) ⇒$$ P $$= 97.6$$ 26- Choice C is correct The correct answer is $$6$$ hoursThe distance between Jason and Joe is $$9$$ miles.Jason running at $$5.5$$ miles per hour and Joe is running at the speed of $$7$$ miles per hour.Therefore, every hour the distance is $$1.5$$ miles less.$$9 \ ÷ \ 1.5 = 6$$ 27- Choice D is correct The correct answer is $$80\%$$The failing rate is $$11$$ out of $$55 = \frac{11}{55}$$Change the fraction to percent:$$\frac{11}{55} \ × \ 100\%=20\%$$$$20$$ percent of students failed.Therefore, $$80$$ percent of students passed the exam. 28- Choice C is correct The correct answer is $$60$$Jason needs an $$75\%$$ average to pass for five exams.Therefore, the sum of $$5$$ exams must be at least $$5 \ × \ 75 = 375$$The sum of $$4$$ exams is:$$68 \ + \ 72 \ + \ 85 \ + \ 90 = 315$$.The minimum score Jason can earn on his fifth and final test to pass is:$$375 \ – \ 315 = 60$$ 29- Choice B is correct The correct answer is $$840$$Use simple interest formula:$$I = prt$$($$I =$$ interest, $$p =$$ principal, $$r =$$ rate, $$t =$$ time)$$I=(12000) \ (0.035) \ (2)=840$$ 30- Choice D is correct The correct answer is $$44$$Let $$x$$ be the integer. Then:$$2 \ x \ – \ 5 = 83$$Add $$5$$ both sides: $$2 \ x = 88$$Divide both sides by $$2: \ x = 44$$ 31- Choice B is correct The correct answer is $$(- \ 1, \ 3)$$Input the points instead of $$x$$ and $$y$$ in the formula.Only option B works in the equation. $$4 \ x \ + \ 6 \ y=14$$$$4 \ (– \ 1) \ + \ 6 \ (3) =14$$ 32- Choice C is correct The correct answer is $$90$$To find the number of possible outfit combinations, multiply number of options for each factor:$$6 \ × \ 3 \ ×\ 5 = 90$$ 33- Choice B is correct The correct answer is $$30$$The sum of supplement angles is $$180$$.Let $$x$$ be that angle. Therefore, $$x \ + \ 5 \ x = 180$$$$6 \ x = 180$$, divide both sides by $$6: \ x = 30$$ 34- Choice C is correct The correct answer is $$5 : 9$$The average speed of John is: $$150 \ ÷ \ 6 = 25$$ kmThe average speed of Alice is: $$180 \ ÷ \ 4 = 45$$ kmWrite the ratio and simplify. $$25: 45 ⇒ 5: 9$$ 35- Choice C is correct The correct answer is $$210$$Let $$x$$ be the number of soft drinks for $$252$$ guests.It’s needed to have a proportional ratio to find $$x$$.$$\frac{10 \ soft \ drinks}{12 \ guests} = \frac{x}{252 \ guests}$$ $$x = \frac{252 \ × \ 10}{12 }⇒x=210$$ 36- Choice B is correct The correct answer is $$23.8$$Let $$x$$ be the number of cans.Write a proportion and solve for $$x$$.$$\frac{5 \ cans}{3.40) }= \frac{35 \ cans}{x}$$ $$x =\frac{3.40\ × \ 35}{5} ⇒x=23.8$$ 37- Choice B is correct The correct answer is $$5$$$$x\%$$ of $$24$$ is $$1.2$$, then:$$x\% 24 =1.2 ⇒$$$$0.24 \ x=1.2 ⇒$$$$x=1.2 \ ÷ \ 0.24=5$$ 38- Choice C is correct The correct answer is MathematicsCompare each score:In Algebra Joe scored $$20$$ out of $$25$$ in Algebra that it means $$80\%$$ of total mark.$$\frac{20}{25} = \frac{x}{100} ⇒x= 80$$Joe scored $$30$$ out of $$40$$ in science that it means $$75\%$$ of total mark.$$\frac{30}{40} = \frac{x}{100} ⇒x= 75$$Joe scored $$68$$ out of $$80$$ in mathematic that it means $$85\%$$ of total mark.$$\frac{68}{80} = \frac{x}{100} ⇒x= 85$$Therefore, his score in mathematic is higher than his other scores. 39- Choice C is correct The correct answer is $$480$$ m$$^3$$Use the volume of square pyramid formula.$$V= \frac{1}{3} \ a^2 \ h ⇒$$$$V= \frac{1}{3} \ (12$$ m)$$^2 \ × \ 10$$ m $$⇒ V= 480$$ m$$^3$$ 39- Choice C is correct The correct answer is $$480$$ m$$^3$$Use the volume of square pyramid formula.$$V= \frac{1}{3} \ a^2 \ h ⇒$$$$V= \frac{1}{3} \ (12$$ m)$$^2 \ × \ 10$$ m $$⇒ V= 480$$ m$$^3$$

### STAAR Grade 7 Math Comprehensive Prep Bundle

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### Practice Test 1

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### Practice Test 2

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