## Full Length HSPT Mathematics Practice Test

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

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## HSPT Mathematics Practice Test 3

64 questions
Total time for this section: 45 Minutes
Calculators are not allowed at the test.
1- $$3 \ a \ + \ 24 = 30 , a =$$ ?
(A) $$1$$
(B) $$10$$
(C) $$2$$
(D) $$5$$
2- A trash container, when empty, weighs $$22$$ pounds. If this container is filled with a load of trash that weighs $$220$$ pounds, what is the total weight of the container and its contents?
(A) $$250$$ pounds
(B) $$120$$ pounds
(C) $$186$$ pounds
(D) $$242$$ pounds
3- Which of the following is not a multiple of $$6$$?
(A) $$18$$
(B) $$28$$
(C) $$12$$
(D) $$30$$
4- If $$x = 9$$, then $$\frac{3^3}{x} =$$
(A) $$3$$
(B) $$12$$
(C) $$8$$
(D) $$5$$
5- Solve for $$x: \ 8 \ x \ – \ 4 = 20$$
(A) $$6$$
(B) $$9$$
(C) $$3$$
(D) $$7$$
6- What is the prime factorization of $$140$$?
(A) $$2 \times 2 \times 5 \times 7$$
(B) $$2 \times 2 \times 2 \times 2 \times 5 \times 7$$
(C) $$2 \times 2 \times 7$$
(D) $$2 \times 2 \times 2 \times 5 \times 7$$
7- If $$x$$ is $$20\%$$ percent of $$200$$, what is $$x$$?
(A) $$33$$
(B) $$40$$
(C) $$55$$
(D) $$80$$
8- If a rectangle is $$25$$ feet by $$30$$ feet, what is its area?
(A) $$750$$
(B) $$360$$
(C) $$1,358$$
(D) $$1,700$$
9- A writer finishes $$240$$ pages of his manuscript in $$30$$ hours. How many pages is his average?
(A) $$7$$
(B) $$10$$
(C) $$8$$
(D) $$20$$
10- Find the average of the following numbers:
$$15, \ 10, \ 5, \ 19, \ 21$$
(A) $$14$$
(B) $$20$$
(C) $$11$$
(D) $$17$$
11- Ashly is $$8$$ years older than her sister Mary, and Mary is $$7$$ years younger than her brother David. If the sum of their ages is $$75$$, how old is Michelle?
(A) $$20$$
(B) $$12$$
(C) $$18$$
(D) $$24$$
12- The first four terms in a sequence are shown below. What is the fifth term in the sequence?
$$\left\{3, \ 5, \ 9, \ 15, \ ...\right\}$$
(A) $$32$$
(B) $$23$$
(C) $$28$$
(D) $$20$$
13- Which of the following is a prime number?
(A) $$10$$
(B) $$15$$
(C) $$18$$
(D) $$23$$
14- If $$x = \frac{3}{5}$$ then $$\frac{1}{x} =$$ ?
(A) $$\frac{5}{3}$$
(B) $$\frac{3}{5}$$
(C) $$\frac{1}{4}$$
(D) $$\frac{1}{5}$$
15- $$(a^{2}) \ . \ (a^{5}) =$$ ___
(A) $$2 \ a^3$$
(B) $$2 \ a^7$$
(C) $$a^7$$
(D) $$a^{25}$$
16- $$0.95 \ + \ 1.7 \ + \ 2.15 =$$?
(A) $$6.25$$
(B) $$5.5$$
(C) $$7.35$$
(D) $$4.8$$
17- The sum of two numbers is N. If one of the numbers is $$4$$, then what is three times the other number?
(A) $$3 \ N$$
(B) $$3 \ (N \ - \ 4)$$
(C) $$3 \ (N \ + \ 4)$$
(D) $$(N \ + \ 4)$$
18- Convert $$0.18$$ to a percent.
(A) $$0.018\%$$
(B) $$0.18\%$$
(C) $$1.8\%$$
(D) $$18\%$$
19- A circle has a diameter of $$4.2$$ inches. What is its approximate circumference?
(A) $$15$$
(B) $$13$$
(C) $$8$$
(D) $$19$$
20- In the simplest form, $$\frac{20}{15}$$ is:
(A) $$\frac{4}{13}$$
(B) $$\frac{4}{3}$$
(C) $$\frac{14}{3}$$
(D) $$\frac{3}{4}$$
21- What number belongs in the box?
$$11 \ + \Box = 7$$
(A) $$8$$
(B) $$5$$
(C) $$- \ 4$$
(D) $$4$$
22- Which of the following fractions is the largest?
(A) $$\frac{2}{5 }$$
(B) $$\frac{1}{7}$$
(C) $$\frac{5}{8}$$
(D) $$\frac{3}{2}$$
23- Evaluate $$2 \ x \ + \ 15$$, when $$x= - \ 3$$
(A) $$9$$
(B) $$4$$
(C) $$11$$
(D) $$6$$
24- What is the value of $$7!$$ ?
(A) $$5,040$$
(B) $$504$$
(C) $$3,254$$
(D) $$4,500$$
25- $$\sqrt{36}$$ is equal to:
(A) $$4$$
(B) $$9$$
(C) $$6$$
(D) $$3$$
26- $$( 9 \ + \ 5) \div (4^{2} \div 8) =$$ ___
(A) $$6$$
(B) $$9$$
(C) $$3$$
(D) $$7$$
27- If $$7 \ < \ x \ ≤ \ 9$$, then $$x$$ cannot be equal to:
(A) $$9.5$$
(B) $$8$$
(C) $$7.5$$
(D) $$9$$
28- Which of the following is the equivalent of $$2^{5}$$?
(A) $$2 \times 2 \times 2$$
(B) $$5 \times 5 \times 5$$
(C) $$32$$
(D) $$60$$
29- What's the next number in the series $$\left\{18, \ 15, \ 12, \ 9, \ ?\right\}$$
(A) $$6$$
(B) $$8$$
(C) $$5$$
(D) $$7$$
30- If $$x \ + \ y = 10$$, what is the value of $$4 \ x \ + \ 4 \ y$$?
(A) $$65$$
(B) $$78$$
(C) $$40$$
(D) $$32$$
31- $$112 \times 32 =$$?
(A) $$3,548$$
(B) $$3,485$$
(C) $$3,480$$
(D) $$3,584$$
32- If $$8 \ + \ x \ ≥ \ 14$$, then $$x \ ≥$$ ?
(A) $$7$$
(B) $$6$$
(C) $$9$$
(D) $$4$$
33- If $$- \ 5 \ a = 25$$, then $$a =$$ ___
(A) $$- \ 4$$
(B) $$- \ 5$$
(C) $$5$$
(D) $$8$$
34- If A $$= 7$$, B $$= 2$$ and C $$= 6$$, then $$2$$ABC $$=$$?
(A) $$168$$
(B) $$185$$
(C) $$130$$
(D) $$197$$
35- I’ve got $$27$$ quarts of milk and my family drinks $$3$$ gallons of milk per week. How many weeks will that last us?
(A) $$5$$ weeks
(B) $$4.5$$ weeks
(C) $$2.25$$ weeks
(D) $$3$$ weeks

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36- Factor this equation: $$x^{2} \ + \ 2 \ x \ – \ 8$$
(A) $$x \ (4 \ + \ 2)$$
(B) $$(x \ + \ 4) \ (x \ - \ 3)$$
(C) $$(x \ + \ 4) \ (x \ - \ 2)$$
(D) $$x^2(3 \ + \ 4) \ (x \ - \ 2)$$
37- A baker uses $$6$$ eggs to bake a cake. How many cakes will he be able to bake with $$132$$ eggs?
(A) $$25$$
(B) $$24$$
(C) $$28$$
(D) $$22$$
38- Which of the following is the product of $$15$$ and $$18$$?
(A) $$238$$
(B) $$270$$
(C) $$35$$
(D) $$9$$
39- Which of the following is equal to $$4.5$$?
(A) $$3 \frac{1}{10}$$
(B) $$5$$
(C) $$\frac{45}{10}$$
(D) $$\frac{45}{100}$$
40- Which of the following is the correct calculation for $$3!$$?
(A) $$3 \times 2 \times 1$$
(B) $$3 \times 2$$
(C) $$1 \times 2 \times 3$$
(D) $$2 \times 3$$
41- What is the sum of $$\frac{4}{10} \ + \ \frac{5}{2} \ + \ \frac{2}{5}$$ ?
(A) $$3$$
(B) $$3.10$$
(C) $$2 \frac{3}{10}$$
(D) $$3 \ \frac{3}{10}$$
42- Lucy gives $$5$$ pieces of candy to each of her friends. If Lucy gives all her candy away, which amount of candy could have been the amount she distributed?
(A) $$128$$
(B) $$180$$
(C) $$426$$
(D) $$264$$
43- $$(x \ + \ 3)(x \ + \ 4) =$$ ?
(A) $$x^{2} \ + \ 7 \ x \ + \ 12$$
(B) $$x^{2} \ + \ 12 \ x \ + \ 7$$
(C) $$x^{2} \ - \ 12 \ x \ - \ 7$$
(D) $$x^{2} \ - \ 7 \ x \ + \ 12$$
44- The equation of a line is given as :
$$y = 4 \ x \ – \ 2$$.
Which of the following points does not lie on the line?
(A) $$2 , 6$$
(B) $$- \ 2 , - \ 10$$
(C) $$1 \ , \ 2$$
(D) $$3 \ , \ 10$$
45- The number $$0.5$$ can also represented by which of the following?
(A) $$\frac{5}{10}$$
(B) $$\frac{5}{100}$$
(C) $$\frac{5}{1000}$$
(D) $$\frac{5}{10,000}$$
46- $$\frac{12}{19}$$ is equal to:
(A) $$6.3$$
(B) $$0.6$$
(C) $$0.63$$
(D) $$0.06$$
47- How much greater is the value of $$6 \ x \ + \ 7$$ than the value of $$6 \ x \ – \ 5$$?
(A) $$6$$
(B) $$12$$
(C) $$15$$
(D) $$8$$
48- What is the perimeter of the triangle in the provided diagram?
(A) $$50$$
(B) $$45$$
(C) $$72$$
(D) $$36$$
49- A woman weighs $$110$$ pounds. She gains $$12$$ pounds one month and $$6$$ pounds the next month. What is her new weight?
(A) $$172$$ Pounds
(B) $$156$$ Pounds
(C) $$128$$ Pounds
(D) $$135$$ Pounds
50- $$x^{2} \ – \ 36 = 0 \ , \ x$$ could equal:
(A) $$- \ 6$$
(B) $$- \ 8$$
(C) $$10$$
(D) $$36$$
51- In the diagram provided, what is the value of b?
(A) $$120^{◦}$$
(B) $$45^{◦}$$
(C) $$30^{◦}$$
(D) $$85^{◦}$$
52- How long is the line segment shown on the number line below?
(A) $$8$$
(B) $$6$$
(C) $$9$$
(D) $$11$$
53- $$(x^{4})^{2} =$$ ?
(A) $$x^{6}$$
(B) $$2 \ x^{6}$$
(C) $$x^{8}$$
(D) $$x^{2}$$
54- If a rectangular swimming pool has a perimeter of $$100$$ feet and is $$15$$ feet wide, what is its area?
(A) $$565$$
(B) $$1,458$$
(C) $$525$$
(D) $$712$$
55- The cube of $$4$$ is ___.
(A) $$72$$
(B) $$81$$
(C) $$32$$
(D) $$64$$
56- What’s the greatest common factor of the $$20$$ and $$10$$?
(A) $$10$$
(B) $$14$$
(C) $$8$$
(D) $$18$$
57- What is $$\sqrt{36} \times \sqrt{9}$$
(A) $$\sqrt{6}$$
(B) $$3 \ \sqrt{6}$$
(C) $$18$$
(D) $$10$$
58- What's the next number in the series $$\left\{21, \ 18, \ 15, \ 12, \ ?\right\}$$
(A) $$9$$
(B) $$7$$
(C) $$25$$
(D) $$10$$
59- What is $$7,325.2598$$ rounded to the nearest tenth?
(A) $$7325.260$$
(B) $$7325$$
(C) $$7325.25$$
(D) $$7325.3$$
60- If $$x = 3$$ what’s the value of $$7 \ x^{2} \ + \ 4 \ x \ – \ 10$$?
(A) $$98$$
(B) $$65$$
(C) $$35$$
(D) $$72$$
61- The circumference of a circle is $$15$$ cm. what is the approximate radius of the circle?
(A) $$3.54$$ cm
(B) $$2.39$$ cm
(C) $$4.5$$ cm
(D) $$3.75$$ cm
62- What is the radicand in $$\sqrt[3]{216}$$ ?
(A) $$9$$
(B) $$5$$
(C) $$3$$
(D) $$6$$
63- Line l passes through the point $$(− \ 1, \ 2)$$. Which of the following CANNOT be the equation of line l?
(A) $$y = - \ 1$$
(B) $$y = x \ + \ 3$$
(C) $$y = x \ + \ 1$$
(D) $$y = 1 \ - \ x$$
64- What is the difference between $$180$$ and $$75$$?
(A) $$105$$
(B) $$75$$
(C) $$62$$
(D) $$87$$
 1- Choice C is correct The correct answer is $$2$$$$3 \ a \ + \ 24 = 30 →$$$$3 \ a = 30 \ - \ 24 →$$$$3 \ a = 6 → a = 2$$ 2- Choice D is correct The correct answer is $$242$$ pounds$$220 \ + \ 22 = 242$$ 3- Choice B is correct The correct answer is $$28$$A. $$\frac{18}{6} = 3$$B. $$\frac{28}{6} = 4.66$$C. $$\frac{12}{6} = 2$$D. $$\frac{30}{6} = 5$$ 4- Choice A is correct The correct answer is $$3$$$$\frac{3^3}{x} = \frac{3^3}{9} = \frac{27}{9} = 3$$ 5- Choice C is correct The correct answer is $$3$$$$8 \ x \ – \ 4 = 20$$$$8 \ x = 24$$$$x = \frac{24}{8} = 3$$ 6- Choice A is correct The correct answer is $$2 \times 2 \times 5 \times 7$$Find the value of each choice:A. $$2 \times 2 \times 5 \times 7 = 140$$B. $$2 \times 2 \times 2 \times 2 \times 5 \times 7 = 560$$C. $$2 \times 2 \times 7 = 28$$D. $$2 \times 2 \times 2 \times 5 \times 7 = 280$$ 7- Choice B is correct The correct answer is $$40$$$$\frac{20}{100} \ 200 = x$$$$x = \frac{20 \ \times \ 200}{100} = 40$$ 8- Choice A is correct The correct answer is $$750$$Area of a rectangle $$=$$ width $$\times$$ length $$= 30 \times 25 = 750$$ 9- Choice C is correct The correct answer is $$8$$$$240 \div 30 = 8$$ 10- Choice A is correct The correct answer is $$14$$$$\frac{15 \ + \ 10 \ + \ 5 \ + \ 19 \ + \ 21}{5} = \frac{70}{5} = 14$$ 11- Choice A is correct The correct answer is $$20$$Mary $$=$$ Ashly $$– \ 8$$Mary $$=$$ David $$– \ 7$$Ashly $$+$$ Mary $$+$$ David $$= 75$$Ashly $$+ \ 8 =$$ Mary $$⇒$$ Ashly $$=$$ Mary $$– \ 8$$ Ashly $$+$$ Mary $$+$$ David $$= 75$$Now, replace the ages of Mary and David by Mary. Then:Mary $$+ \ 8 \ +$$ Mary $$+$$ Mary $$+ \ 7 = 75$$$$3$$Mary $$+ \ 15 = 75 ⇒ 3$$ Mary $$= 75 \ – \ 15$$$$3$$Mary $$= 60$$ Mary $$= 20$$ 12- Choice B is correct The correct answer is $$23$$The difference of $$3$$ and $$5$$ is $$2$$.The difference of $$5$$ and $$9$$ is $$4$$ and the difference of $$9$$ and $$15$$ is $$6$$.Then, the difference of $$15$$ and the next number should be $$8$$.The answer is $$23$$. $$15 \ + \ 8 = 23$$ 13- Choice D is correct The correct answer is $$23$$A. $$10$$ is not prime.     It is divisible by $$2$$.B. $$15$$ is not prime.   It is divisible by $$3$$.C. $$18$$ is not prime.   It is divisible by $$3$$.D. $$23$$ is prime! 14- Choice A is correct The correct answer is $$\frac{5}{3}$$$$\frac{1}{\frac{3}{5}} = \frac{5}{3}$$ 15- Choice C is correct The correct answer is $$a^{7}$$$$(a^2) \ . \ (a^5) = a^{2 \ + \ 5} = a^{7}$$ 16- Choice D is correct The correct answer is $$4.8$$$$0.95 \ + \ 1.7 \ + \ 2.15 = 4.8$$ 17- Choice B is correct The correct answer is $$3 \ (N \ – \ 4)$$Let $$x$$ and $$y$$ be the numbers. Then:$$x \ + \ y = N, \ x = 4→$$$$4 \ + \ y = N→$$$$y = N \ – \ 4$$$$3 \ y = 3 \ (N \ – \ 4)$$ 18- Choice D is correct The correct answer is $$18\%$$$$0.18 \times 100 = 18\%$$ 19- Choice B is correct The correct answer is $$13$$Circumference $$= π \ d ⇒ C = 4.2 \ π = 13.188 \cong 13$$ 20- Choice B is correct The correct answer is $$\frac{4}{3}$$$$\frac{20}{15} = \frac{4}{3}$$ 21- Choice C is correct The correct answer is $$- \ 4$$$$11 \ + \ x = 7$$$$x = 7 \ – \ 11$$$$x = - \ 4$$ 22- Choice D is correct The correct answer is $$\frac{3}{2}$$A. $$\frac{2}{5} = 0.4$$B. $$\frac{1}{7} = 1.14$$C. $$\frac{5}{8} = 0.62$$D. $$\frac{3}{2} = 1.5$$ 23- Choice A is correct The correct answer is $$9$$ $$2 \ x \ + \ 15 = 2 \ (- \ 3) \ + \ 15 = - \ 6 \ + \ 15 = 9$$ 24- Choice A is correct The correct answer is $$5,040$$$$7! = 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 5,040$$ 25- Choice C is correct The correct answer is $$6$$$$\sqrt{36} = 6$$ 26- Choice D is correct The correct answer is $$7$$$$(9 \ + \ 5) \div (4^{2} \div 8) = (14) \div (2) = 7$$ 27- Choice A is correct The correct answer is $$9.5$$$$7 \ < \ x \ ≤ \ 9$$, then $$x$$ cannot be equal to $$9.5$$ . 28- Choice C is correct The correct answer is $$32$$$$2^{5} = 2 \times 2 \times 2 \times 2 \times 2 = 32$$ 29- Choice A is correct The correct answer is $$6$$The difference of each number and next number is $$6$$. $$\left\{18, \ 15, \ 12, \ 9, \ 6\right\}$$ 30- Choice C is correct The correct answer is $$40$$$$x \ + \ y = 10$$$$4 \ x \ + \ 4 \ y = 4 (x \ + \ y) →$$$$10 \times 4 = 40$$ 31- Choice D is correct The correct answer is $$3,584$$$$112 \times 32 = 3,584$$ 32- Choice B is correct The correct answer is $$6$$$$8 \ + \ x \ ≥ \ 14 →$$$$x \ ≥ \ 14 \ - \ 8 → x \ ≥ \ 6$$ 33- Choice B is correct The correct answer is $$- \ 5$$$$- \ 5 \ a = 25$$$$a = \frac{25}{- \ 5} = - \ 5$$ 34- Choice A is correct The correct answer is $$168$$$$2$$ABC $$= 2 \ (7) \ (2) \ (6) = 168$$ 35- Choice C is correct The correct answer is $$2.25$$ weeks$$1$$ quart $$= 0.25$$ gallon$$27$$ quarts $$= 27 \times 0.25 = 6.75$$ gallonsthen: $$\frac{6.75}{3} = 2.25$$ weeks 36- Choice C is correct The correct answer is $$(x \ + \ 4)( x \ – \ 2)$$$$x^2 \ + \ 2 \ x \ – \ 8 = (x \ + \ 4)( x \ – \ 2)$$ 37- Choice D is correct The correct answer is $$22$$Write a proportion and solve. $$\frac{6}{1} = \frac{132}{x} →$$$$x = \frac{132}{6} = 22$$ 38- Choice B is correct The correct answer is $$270$$$$15 \times 18 = 270$$ 39- Choice C is correct The correct answer is $$\frac{45}{10}$$$$\frac{45}{10} = 4.5$$ 40- Choice A is correct The correct answer is $$3! =3 \times 2 \times 1$$ 41- Choice D is correct The correct answer is $$3 \ \frac{ 3}{10}$$$$\frac{4}{10} \ + \ \frac{5}{2} \ + \ \frac{2}{5} = \frac{4 \ + \ 5(5) \ + \ 2(2)}{10} = \frac{33}{10}= 3 \ \frac{ 3}{10}$$ 42- Choice B is correct The correct answer is $$180$$Since Lucy gives $$8$$ pieces of candy to each of her friends, then, then number of pieces of candies must be divisible by $$8$$. A. $$128 \div 5 = 25.6$$B. $$180\div 5 = 36$$C. $$426 \div 5 = 85.2$$D. $$264 \div 5 =52.8$$Only choice B gives a whole number. 43- Choice A is correct The correct answer is $$x^{2} \ + \ 7 \ x \ + \ 12$$$$(x \ + \ 3)(x \ + \ 4) = x^{2} \ + \ 4 \ x \ + \ 3 \ x \ + \ 12 = x^{2} \ + \ 7 \ x \ + \ 12$$ 44- Choice B is correct The correct answer is $$(3, \ 18)$$Let’s review the choices provided.Put the values of $$x$$ and $$y$$ in the equation. A. $$(2, \ 6) ⇒ x = 2 ⇒ y = 6$$                         This is true!B. $$(− \ 2, \ − \ 10) ⇒ x = - \ 2 ⇒ y = - \ 11$$   This is not true!C. $$(1, \ 2) ⇒ x = 1 ⇒ y = 2$$                        This is true!D. $$(3, \ 10) ⇒ x = 3 ⇒ y = 10$$                       This is true! 45- Choice A is correct The correct answer is $$\frac{5}{10}$$$$\frac{5}{10} = 0.5$$ 46- Choice C is correct The correct answer is $$0.63$$$$\frac{12}{19} = 0.63$$ 47- Choice B is correct The correct answer is $$12$$$$(6 \ x \ + \ 7) \ - \ (6 \ x \ - \ 5) = 6 \ x \ + \ 7 \ - \ 6 \ x \ + \ 5 = 12$$ 48- Choice B is correct The correct answer is $$45$$Perimeter of a triangle $$=$$ side $$1 \ +$$ side $$2 \ +$$ side $$3 = 15 \ + \ 15\ + \ 15 = 45$$ 49- Choice C is correct The correct answer is $$128$$ pounds$$110 \ + \ 12 \ + \ 6 = 128$$ 50- Choice A is correct The correct answer is $$- \ 6$$$$x^2 \ – \ 36 = 0$$$$x^2 = 36$$$$x = 6$$ or $$- \ 6$$ 51- Choice C is correct The correct answer is $$30^{◦}$$Angle b and angle $$135$$ are supplementary angles. (their sum is $$180$$ degrees)Angle b $$= 180 \ – \ 150 = 30$$ 52- Choice D is correct The correct answer is $$11$$The line is from $$- \ 9$$ to $$+ \ 2$$.The difference of these two numbers is:$$2 \ –\ (– \ 9) = 2 \ + \ 9 = 11$$ 53- Choice C is correct The correct answer is $$x^{8}$$$$(x^4)^2 = x^{8}$$ 54- Choice C is correct The correct answer is $$525$$Perimeter of rectangles $$= 2$$ (width $$+$$ length)Area of a rectangles $$=$$ width . lengthPerimeter of rectangles $$= 2$$(width $$+$$ length) $$→ 100 = 2(15 \ +$$ length) →$$100 = 30 \ + \ 2$$ (length) $$→ 70 = 2$$ (length) $$→$$ length $$= 35$$Area of a rectangles $$=$$ width . length $$= 15 \times 35 = 525$$ 55- Choice D is correct The correct answer is $$64$$$$4 \times 4 \times 4 = 64$$ 56- Choice A is correct The correct answer is $$10$$The factors of $$10$$ are: $$\left\{ 1, \ 2, \ 5, \ 10\right\}$$The factors of $$20$$ are: $$\left\{1, 4 , \ 5, 10 ,\ 20\right\}$$Then: Greatest Common Factor $$= 10$$ 57- Choice C is correct The correct answer is $$18$$$$\sqrt{36} \times \sqrt{9} = 6 \times 3 = 18$$ 58- Choice A is correct The correct answer is $$9$$The difference between any number and its next number is $$3$$.$$\left\{21, \ 18, \ 15, \ 12, \ 9\right\}$$ 59- Choice D is correct The correct answer is $$7325.3$$The tenth value is $$2$$.$$7325.25$$ is closer to $$7325.3$$ than $$7325.2$$ 60- Choice B is correct The correct answer is $$65$$Plug in the value of x in the expression.Then: $$7 \ x^2 \ +\ 4 \ x \ – \ 10 = 7(3)^2 \ + \ 4(3) \ – \ 10 = 65$$ 61- Choice B is correct The correct answer is $$2.39$$ cmUse circle circumference formula: C $$= 2 \ π \ r$$$$15= 2 \ π \ r$$$$r = \frac{15}{2 \ π} = 2.38 \cong 2.39$$ 62- Choice D is correct The correct answer is $$6$$$$\sqrt[3]{216} = \sqrt[3]{6^3} = 6$$ 63- Choice C is correct The correct answer is $$y = x \ + \ 1$$Plug in the values of $$x$$ and $$y$$ in the equations provided:A. $$y = 1 \ – \ x → y = 1 \ – \ (- \ 1) = 2$$     This is true!B. $$y = x \ + \ 1 → y =(- \ 1) \ + \ 1 = 0$$ This is NOT true! C. $$x = - \ 1 → (- \ 1) = - \ 1$$                  This is true!D. $$y = x \ +\ 3 → y =(- \ 1) \ + \ 3 = 2$$ This is true! 64- Choice A is correct The correct answer is $$105$$$$180 \ – \ 75 = 105$$

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