Full-Length 6th Grade ACT Aspire 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- 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. \(x=A+11\)

12- 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

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

14- 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. \(450-(450×0.16)\)

15- 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. \(\frac{9}{17}\)

16- 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

17- 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

18- 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

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

A. \(-16x+18\)

B. \(16x-18\)

C. \(-18x+16\)

D. \(18x+16\)

20- 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

21- Solve: 120 kg= …?

A. 1,200 mg

B. 120,000 mg

C. 1,200,000 mg

D. 120,000,000 mg

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

A. 97.5

B. 114.8

C. 153.9

D. 216.2

23- 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

24- What is the lowest common multiple of 18 and 24?

A. 18

B. 48

C. 72

D. 96

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

A. \((2,4)\)

B. \((4,2)\)

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

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

26- 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. \(\frac{25}{11}\)

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

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

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

C. \(4,-7\)

D. \(-4,-7\)

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

A.

B.

C.

D.

29- 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

30- 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

31- What is the value of \(x\) in the following equation: \(-60=115-x\)

32- The ratio of boys to girls in a school is \(4: 5\). If there are 765 students in the school, how many boys are in the school?

33- What is the value of the expression \(6(2x-3y)+(3-2x)^2\), when \(x=2\) and \(y=-1\)?

34- Round \(\frac{215}{7}\) to the nearest tenth.

35- What is the volume of a box with the following dimensions?
Height = 6 cm, Width = 7 cm, Length = 9 cm

36- The area of a rectangular yard is 90 square meters. What is its width if its length is 15 meters?

37- What is the missing price factor of number 420?
\(420=2^2×3^1×…\)

38- By what factor did the number below change from the first to the fourth number?
8, 104, 1352, 17576

39- The distance between the two cities is 3,768 feet. What is the distance between the two cities in yards?

40- What is the lowest common multiple of 12 and 20?

41- Calculate the approximate area of the following circle? (the diameter is 25)
(π=3.14)

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

43- If the area of the following rectangular ABCD is 140, and E is the midpoint of AB, what is the area of the shaded part?

44- What is the difference in perimeter between a 7 cm by 4 cm rectangle and a circle with diameter of 10 cm? (π = 3)

45- What is the missing term in the given numbers?
2, 3, 5, 8, 12, 17, 23, _, 38

46- [6 × (–24) + 8] – (–4) + [4 × 5] ÷ 2 =?

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