# Full-Length 7th Grade IAR Math Practice Test

Passing the math section of the 7th Grade IAR test is hard work and there is a lot of competition among the candidates for this test. One of the solutions that can smooth the path of this great competition to reach the goal is the use of full-length practice tests.

The first reason 7th-grade students use a full-length practice test is to be in a situation like the 7th Grade IAR Math test and measure their own level on that test. So if the practice test they choose does not meet the required standard, it is not a good option for them at all. Now, where can you find the full-length 7th-grade IAR math practice test with standard questions? We have what you need: Full-Length 7th Grade IAR Math Practice Test! It has all the standards of a math practice test and it is enough to use the Full-Length 7th Grade IAR Math Practice Test to simulate the test day experience. After you’ve finished, score your tests using the answer keys.
Good luck!

## The Absolute Best Book to Ace the 7th Grade IAR Math Test

Time to refine your Math skill with a practice test

Take a practice 7th Grade IAR Math Test to simulate the test day experience. After you’ve finished,

Before You Start

• You’ll need a pencil and a calculator to take the test.
• There are two types of questions:
Multiple choice questions: for each of these questions, there are four or more possible
answers. Choose which one is best.
Grid-ins questions: for these questions, write your answer in the box provided.
• It’s okay to guess. You won’t lose any points if you’re wrong.
• The IAR Mathematics test contains a formula sheet, which displays formulas relating
to geometric measurement and certain algebra concepts. Formulas are provided to test-
takers so that they may focus on application, rather than the memorization, of formulas.
• After you’ve finished the test, review the answer key to see where you went wrong and
what areas you need to improve.

You can use a calculator for the 7th Grade IAR Math Test.

Good Luck!

## 7th Grade IAR Math Practice Test

1- The score of Emma was one and a half times as that of Ava and the score of Mia was triple that of Ava. If the score of Mia was $$90$$, what is the score of Emma?

A. $$25$$

B. $$35$$

C. $$45$$

D. $$55$$

2- The following trapezoids are similar. What is the value of $$x$$?

A. $$2$$

B. $$4$$

C. $$6$$

D. $$8$$

3- If $$40\%$$ of a class are girls, and $$25\%$$ of girls play tennis, what fraction of the class plays tennis?

A. $$\frac{1}{8}$$

B. $$\frac{1}{10}$$

C. $$\frac{1}{20}$$

D. $$\frac{1}{25}$$

4- A boat sails $$30$$ miles south and then $$40$$ miles east. How far is the boat from its start point?

A. $$30$$ miles

B. $$40$$ miles

C. $$50$$ miles

D. $$60$$ miles

5- You can buy $$12$$ cans of green beans at a supermarket for $$7.40$$. How much does it cost to buy $$30$$ cans of green beans?

A. $$18.50$$

B. $$24.20$$

C. $$26.00$$

D. $$34.00$$

6- What is the volume of the following square pyramid?

A. $$460 \space m^3$$

B. $$520 \space m^3$$

C. $$750 \space m^3$$

D. $$960 \space m^3$$

7- At a party, $$6$$ soft drinks are required for every $$8$$ guest. If there are $$240$$ guests, how many soft drinks are required?

A. $$38$$

B. $$146$$

C. $$180$$

D. $$200$$

8- Since last year, the price of gasoline has increased from $$1.4$$ per gallon to $$1.75$$ per gallon. The new price is what percent of the original price?

A. $$20\%$$

B. $$25\%$$

C. $$30\%$$

D. $$35\%$$

9- $$[8×(-14)+15]-(10)+[4×6]÷3= ?$$

10- Simplify $$5x^2 y(2xy^3)^4=?$$

A. $$40x^3 y^{12}$$

B. $$16x^5 y^{24}$$

C. $$40x^6 y^{12}$$

D. $$80x^6 y^{13}$$

11- Jason is $$14$$ miles ahead of Joe running at $$6$$ miles per hour and Joe is running at the speed of $$8$$ miles per hour. How long does it take Joe to catch Jason?

A. $$3$$ hours

B. $$5$$ hours

C. $$7$$ hours

D. $$9$$ hours

12- $$9$$ less than five times a positive integer is $$101$$. What is the integer?

A. $$22$$

B. $$26$$

C. $$32$$

D. $$44$$

13- Last week $$18,000$$ fans. This week $$2.5$$ times as many bought tickets, but one-fifth of them canceled their tickets. How many are attending this week?

A. $$20,000$$

B. $$22,000$$

C. $$32,000$$

D. $$36,000$$

14- What is the median of these numbers? $$25,12,13,18,22,36,22$$

A. $$12$$

B. $$20$$

C. $$22$$

D. $$26$$

15- Sophia purchased a sofa for $$615.00$$. The sofa is regularly priced at $$820$$. What was the percent discount Sophia received on the sofa?

A. $$8\%$$

B. $$12\%$$

C. $$18\%$$

D. $$25\%$$

16- Robert is preparing to run a marathon. He runs $$4\frac{1}{3}$$ miles on Saturday and two times that many on Monday and Wednesday. Robert wants to run a total of $$35$$ miles this week. How many more miles does he need to run?

17- What is the area of the shaded region?

A. $$10π \space cm^2$$

B. $$20π \space cm^2$$

C. $$25π \space cm^2$$

D. $$30π \space cm^2$$

18- Right triangle $$ABC$$ has two shorter legs of lengths $$12\space cm\space (AB)$$ and $$5\space cm\space (AC)$$. What is the length of the third side $$(BC)$$?

A. $$13\space cm$$

B. $$14\space cm$$

C. $$15\space cm$$

D. $$16\space cm$$

19- four times the price of a laptop is equal to seven times the price of a computer. If the price of the laptop is $$240$$ more than a computer, what is the price of the computer?

A. $$320$$

B. $$400$$

C. $$420$$

D. $$960$$

20- Jason needs an $$75\%$$ average in his writing class to pass. On his first $$4$$ exams, he earned scores of $$62\%$$, $$73\%$$, $$82\%$$, and $$88\%$$. What is the minimum score Jason can earn on his fifth and final test to pass?

21- The price of a laptop is decreased by $$15\%$$ to $$425$$. What is its original price?

A. $$475$$

B. $$500$$

C. $$575$$

D. $$600$$

22- A rope weighs $$450$$ grams per meter in length. What is the weight in kilograms of $$12$$ meters of this rope? ($$1$$ kilograms $$= 1,000$$ grams)

A. $$0.0540$$ kilograms

B. $$0.540$$ kilograms

C. $$5.4$$ kilograms

D. $$54.00$$ kilograms

23- If $$𝑥=− 3$$, which equation is true?

A. $$x(2x-4)=-52$$

B. $$8(7-x)=14$$

C. $$x(3x-2)=79$$

D. $$(4x-2)x=42$$

24- Joe scored $$24$$ out of $$32$$ marks in Algebra, $$28$$ out of $$40$$ marks in science, and $$72$$ out of $$90$$ marks in Mathematics. In which subject his percentage of marks is best?

A. Algebra

B. Science

C. Mathematics

D. Algebra and Science

25- The marked price of a computer is $$D$$ dollar. Its price decreased by $$25\%$$ in January and later increased by $$15\%$$ in February. What is the final price percent of the computer in $$D$$ dollars?

A. $$78.55\space D$$

B. $$82.25\space D$$

C. $$86.25\space D$$

D. $$90.50\space D$$

26- What is the median of these numbers? $$42,21,15,28,43,34,26$$

A. $$15$$

B. $$28$$

C. $$34$$

D. $$42$$

27- John traveled $$210\space km$$ in $$7$$ hours and Alice traveled $$160\space km$$ in $$5$$ hours. What is the ratio of the average speed of John to the average speed of Alice?

A. $$13∶ 12$$

B. $$22∶ 23$$

C. $$15∶ 16$$

D. $$15∶ 18$$

28- A $$56$$ shirt now selling for $$42$$ is discounted by what percent?

A. $$15\%$$

B. $$18\%$$

C. $$20\%$$

D. $$25\%$$

29- The area of a circle is $$121π$$. What is the circumference of the circle?

A. $$7π$$

B. $$14π$$

C. $$22π$$

D. $$24π$$

30- In a bag of small balls, $$\frac{1}{2}$$ are black, $$\frac{1}{5}$$ are white, $$\frac{1}{10}$$ are red and the remaining $$12$$ blue. How many balls are white?

A. $$8$$

B. $$12$$

C. $$16$$

D. $$24$$

31- A pizza cut into $$10$$ parts. William and his sister Ella ordered two pizzas. William ate $$\frac{4}{5}$$ of his pizza and Ella ate $$\frac{1}{2}$$ of her pizza. What part of the two pizzas was left?

A. $$\frac{7}{20}$$

B. $$\frac{2}{10}$$

C. $$\frac{1}{4}$$

D. $$\frac{1}{2}$$

32- $$50$$ students took an exam and $$14$$ of them failed. What percent of the students passed the exam?

A. $$20\%$$

B. $$48\%$$

C. $$64\%$$

D. $$72\%$$

33- $$6.2$$ is what percent of $$50$$?

A. $$1.2$$

B. $$5.6$$

C. $$12.4$$

D. $$24.6$$

34) What is the perimeter of a square that has an area of $$196$$ feet?

35- Which of the following points lies on the line $$6x-14=4y$$?

A. $$(2,1)$$

B. $$(2,-\frac{1}{2})$$

C. $$(-3,4)$$

D. $$(2,2)$$

36- An angle is equal to one-fourth of its supplement. What is the measure of that angle?

A. $$28$$

B. $$36$$

C. $$45$$

D. $$60$$

37- A bank is offering $$3.5\%$$ simple interest on a savings account. If you deposit $$16,000$$, how much interest will you earn in three years?

A. $$1220$$

B. $$1,680$$

C. $$2,120$$

D. $$4,220$$

38- What is the probability of getting a sum of $$7$$ when two tice are thrown?

A. $$\frac{1}{9}$$

B. $$\frac{1}{6}$$

C. $$\frac{16}{17}$$

D. $$\frac{17}{18}$$

39- How many possible outfit combinations come from three shirts, eight slacks, and seven ties? _____________

40- A chemical solution contains $$7\%$$ alcohol. If there are $$35\space ml$$ of alcohol, what is the volume of the solution?

A. $$240\space ml$$

B. $$500\space ml$$

C. $$600\space ml$$

D. $$700\space ml$$

## The Best Books to Ace the 7th Grade IAR Math Test

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