Full-Length 6th Grade IAR Math Practice Test

B. The measure of the sum of all the angles equals \(180^\circ\).

C. Length of \(AB\) equal to length \(DC\).

D. \(AB\) is perpendicular to \(AD\).

10- Round \(\frac{824}{17}\) to the nearest tenth.

A. \(48\)

B. \(48.4\)

C. \(48.5\)

D. \(49\)

11- What is the missing price factor of number \(588\)\(?\) \(588=2^2×3×\)…

12- If the area of the following trapezoid is equal to \(A\), which equation represents \(x\)?

A. \(x=\frac{11}{A}\)

B. \(x=\frac{A}{11}\)

C. \(x=A-11\)

D. \(x=A+11\)

13- By what factor did the number below change from the first to the fourth number? \(8,72,648,5832\)

A. \(6\)

B. \(9\)

C. \(12\)

D. \(16\)

14- \(234\) is equal to …

A. \(13-(3×6)+(7×(-6))\)

B. \((\frac{25}{400})+(\frac{7}{50})\)

C. \(((22×\frac{30}{6})-(7×\frac{144}{12}))×\frac{18}{2}\)

D. \(\frac{6}{24}+\frac{12}{36}-50\)

15- A car costing \($240\) is discounted \(16\%\). Which of the following expressions can be used to find the selling price of the car?

A. \((450)(0.16)\)

B. \(450-(450×0.84)\)

C. \((450)(0.16)\)

D. \(450-(450×0.16)\)

16- Mr. Jones saves \($1,400\) out of his monthly family income of \($11,900\). What fractional part of his income does Mr. Jones save?

A. \(\frac{2}{17}\)

B. \(\frac{5}{17}\)

C. \(\frac{7}{17}\)

D. \(\frac{9}{17}\)

17- Nicolas wrote an integer. The opposite of Nicolas’s integer is \(-25\). Which of the following statements about Nicolas’s integer must be true?
I. The integer is \(25\).
II. The absolute value of the integer is \(-25\).
III. The integer is \(-25\).
IV. The absolute value of the integer is \(25\).

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A. I and II

B. II and III

C. I and IV

D. III and IV

18- What is the volume of a box with the following dimensions?
Height \(= 7 cm\), Width \(= 4 cm\), Length \(= 12 cm\)

A. \(312\space cm^3\)

B. \(336\space cm^3\)

C. \(362\space cm^3\)

D. \(395\space cm^3\)

19- The distance between the two cities is \(33,759\) feet. What is the distance between the two cities in yards?

A. \(9,570\space yd\)

B. \(10,920\space yd\)

C. \(11,253\space yd\)

D. \(13,617\space yd\)

20- A chemical solution contains \(16\%\) alcohol. If there are \(38 ml\) of alcohol, what is the volume of the solution?

A. \(195\space ml\)

B. \(237.5\space ml\)

C. \(369\space ml\)

D. \(452.5\space ml\)

21- Which expression is equivalent to \((-2)(9x-8)\)?

A. \(-16x+18\)

B. \(16x-18\)

C. \(-18x+16\)

D. \(18x+16\)

22- A bottle contains \(576\) fluid ounces of special chemical solutions. How many pints of chemical solution does the bottle contain?

A. \(18\space pt\)

B. \(22\space pt\)

C. \(30\space pt\)

D. \(36\space pt\)

23- Slove: \(120 kg =\) …?

A. \(1,200\space mg\)

B. \(120,000\space mg\)

C. \(1,200,000\space mg\)

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D. \(120,000,000\space mg\)

24- Calculate the approximate area of the following circle? (the diameter is \(14\))

A. \(97.5\)

B. \(114.8\)

C. \(153.9\)

D. \(216.2\)

25- The following graph shows the mark of six students in mathematics. What is the mean (average) of the marks?

A. \(16.5\)

B. \(17.3\)

C. \(18.2\)

D. \(19\)

26- What is the lowest common multiple of \(18\) and \(24\)?

A. \(18\)

B. \(48\)

C. \(72\)

D. \(96\)

27- Which ordered pair describes point \(P\) that is shown below?

A. \((2,4)\)

B. \((4,2)\)

C. \((4, -2)\)

D. \((-2,4)\)

28- What is the ratio between α and β(\(\frac{α}{β}\)) in the following shape?

A. \(\frac{5}{12}\)

B. \(\frac{11}{25}\)

C. \(\frac{5}{12}\)

D. \(\frac{25}{11}\)

29- Find the opposite of the numbers \((-4,7)\).

A. \(\frac{1}{4},-7\)

B. \(-4,\frac{1}{7}\)

C. \(4,-7\)

D. \(-4,-7\)

30- What is the value of \(x\) in the following equation: \(16=-129+x\)

A. \(85\)

B. \(-85\)

C. \(145\)

D. \(-145\)

31- Which of the following graphs represents the following inequality?
\(-5<2x+7≤3\)

A.

B.

C.

D.

32- Which of the following statements is correct, according to the graph below?

A. The number of books sold in April was twice the number of books sold in July.

B. The number of books sold in July was more than one-third of the number of books sold in May.

C. The number of books sold in June was less than one-third of the number of books sold in April.

D. The number of books sold in July was equal to the number of books sold in April plus the number of books sold in June

33- To produce a special concrete, for every \(17 kg\) of cement, \(6\) liters of water is required. Which of the following ratios is the same as the ratio of cement to liters of water?

A. \(78∶ 34\)

B. \(51∶ 17\)

C. \(49∶ 17\)

D. \(63∶ 16\)

34- An integer is chosen at random from \(9\) to \(15\). Find the probability of not selecting a composite number.

A. \(\frac{1}{3}\)

B. \(\frac{4}{5}\)

C. \(\frac{3}{7}\)

D. \(\frac{2}{7}\)

35- On a certain bookshelf of a library, there are \(20\) biology books, \(59\) history books, and \(36\) language books. What is the ratio of the number of biology books to the total number of books on this bookshelf?

A. \(\frac{4}{23}\)

B. \(\frac{3}{17}\)

C. \(\frac{2}{15}\)

D. \(\frac{4}{15}\)

36- Which of the following is the correct statement?

A. \(\frac{5}{8}>0.8\)

B. \(23\%<\frac{2}{3}\)

C. \(8<\frac{18}{3}\)

D. \(\frac{7}{9}<0.6\)

37- Daniel is \(38\) years old, twice as old as Henry. How old is Henry?

A. \(19\) years old

B. \(27\) years old

C. \(62\) years old

D. \(76\) years old

38- A waiter earned a \(38\) percent tip. What decimal is equivalent to \(38\) percent?

39- Which of the following statements can be used for the following inequality? \(\frac{9}{x}≤19\)

A. Sara placed \(x\) pens among \(19\) friends and each friend received fewer than \(9\) pens.

B. Sara placed \(9\) pens among \(x\) friends and each friend received at most \(19\) pens.

C. Sara placed \(x\) pens among 9 friends and each friend received more than \(19\) pens.

D. Sara placed \(x\) pens among 9 friends and each friend received fewer than \(19\) pens

40- If the area of the following rectangular \(ABCD\) is \(180\), and \(E\) is the midpoint of \(AB\), what is the area of the triangle \(ADE\)?

A. \(35\)

B. \(40\)

C. \(45\)

D. \(50\)

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Answers and Explanations