Full-Length 6th Grade GMAS 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 \(25\).
I I. The absolute value of the integer is \(-25\).
I I I. The integer is \(-25\).
I V. The absolute value of the integer is \(25\).

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 yd

B. 10,920 yd

C. 11,253 yd

D. 13,617 yd

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

A. 195 ml

B. 237.5 ml

C. 369 ml

D. 452.5 ml

Session 2

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 pt

B. 22 pt

C. 30 pt

D. 36 pt

23- Solve: 120 kg…?

A. 1,200 mg

B. 120,000 mg

C. 1,200,000 mg

D. 120,000,000 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 marks 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. \9\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 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- In 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 most than 19 pens.

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