ACT MATH PRACTICE TEST ONLINE 2

Question 1 :

Mr. Daniel is paid $1500 salary. He spends 20% of the salary for his kids education, 35% for food, 15% for miscellaneous and he saves the rest. How much money does he save?

(a) $300     (b) $350     (c) $400     (d) $450     (e) $500 

Question 2 :

Let 'x' be a real number which satisfies the relations :

(2x - 5)  > 2 and (3x + 3) < 18

Which of the values can 'x' take?

(a) 4     (b) 5     (c) 6     (d) 7     (e) 8

Question 3 :

The retail price of a particular product is $3.00 per unit. What is the price of half of a box, if one box contains 42 units of the same product ?

(a) $63     (b) $67     (c) $56     (d) $72     (e) 49

Question 4 :

In the triangle given below, BD is perpendicular to AC. If the area of the triangle ABC is 30 square units, then find the area of the triangle DBC ?

(a) 20     (b) 24     (c) 27     (d) 35     (e) 54

Question 5 :

If one angle of a triangle is ∏/6 and another angle is ∏/3, then the third angle is

(a) π/6     (b) π/5     (c) π/4     (d) π/3     (e) π/2

Question 6 :

What is the ratio between the area of the square and circle given below ?

(a) 3/π     (b) π/4     (c) 5/2π     (d) π/5     (e) 2/π

Question 7 :

Find the radius of the circle which is described by the equation

x² + 2x + y² - 4y  =  4

(a) 1     (b) 2     (c) 3     (d) 4     (e) 5

Question 8 : 

(a) -2     (b) -1     (c) 0     (d) 1     (e) 2

Question 9 :

A square, a rectangle, a circle and a trapezoid are given. If we select one figure randomly, what is the probability that the figure has four right angles ?

(a) 0.5     (b) 0     (c) 0.75     (d) 1     (e) 0.25

Question 10 :

If the two lines y = mx + b and 2y + x = 8 are perpendicular to each other and both the lines are passing through the point (2, 2), find the value of 'b'.  

(a) -2     (b) 1     (c) 2     (d) -1     (e) 4

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WORD PROBLEMS

HCF and LCM  word problems

Word problems on simple equations 

Word problems on linear equations 

Word problems on quadratic equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation 

Word problems on unit price

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Converting customary units word problems 

Converting metric units word problems

Word problems on simple interest

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Word problems on sets and venn diagrams

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Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS 

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

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Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6