GMAT-MathRefresher-DiagnosticTest
.pdfGMAT
Math Refresher – Diagnostic Test
GMAT Math Refresher Diagnostic Test
Please take the time to complete the following diagnostic test.
If you have difficulty with any of the topics, you will be directed to one of several short refresher lessons available.
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GMAT
Math Refresher – Diagnostic Test
Integer Arithmetic
Evaluate the following (without a calculator)
a)(−5)+ (−8)=
b)(−2)−10 =
c)5 ×(−2)×3 =
(10)(−2)(4) d) (−8)(1) =
e)4 −(−4)=
f)(−5)+ (−1)−(−7)=
g)(−10)−8 + 2 =
h)(−(6−)(2)(−1−)(12−)8) =
i)8 −14 =
j)(−5)−9 −(−10)=
If you had difficulty with any of these questions, you may want to print and complete the Math Refresher lesson “Integer Arithmetic.”
Answers:
-4 |
j) |
-6 |
i) |
-2 |
h) |
-16 |
g) |
1 |
f) |
8 |
e) |
10 |
d) |
-30 |
c) |
-12 |
b) |
-13 |
a) |
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GMAT
Math Refresher – Diagnostic Test
Decimal Arithmetic
Evaluate the following (without a calculator)
a)5.278 + 0.0544 + 17.65 =
b)1.2074 + 11.809 =
c)6.0287 – 4.55 =
d)1.542 – 0.9438 =
e)8.5 × 16.3 =
f)6.24 × 48.8 =
g)57.78 ÷ 42.8 =
h)27.5 ÷ 3.125 =
Answers:
8.8 |
h) |
35.1 |
g) |
512.304 |
f) |
55.138 |
e) |
5982.0 |
d) |
4787.1 |
c) |
0164.13 |
b) |
9824.22 |
a) |
If you had difficulty with any of these questions, you may want to print and complete the Math Refresher lesson “Decimal Arithmetic.”
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GMAT
Math Refresher – Diagnostic Test
Fractions
Evaluate the following and express your answer in simplest terms
a)58 − 125 =
b)201 ÷ 158 =
c)21 + 31 + 61 =
d)2027 ×169 =
e) |
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27 |
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i)78 − 56 =
j)3 103 +134 =
If you had difficulty with any of these questions, you may want to print and complete the Math Refresher lesson “Fractions.”
f)21
g)34
h)52
i)1
24
j)5 201
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GMAT
Math Refresher – Diagnostic Test
Powers
Evaluate the following:
a)52 =
b)2−5 =
c)104 =
d)(−3)−3 =
e) |
43 = |
Answers: |
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a) |
25 |
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Simplify the following |
b) |
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1 |
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f) |
x x2 x11 = |
32 |
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c) |
10,000 |
g)x18 =
x6
h)(x2 )3 4 =
i) |
(x4 )5 |
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(x2 )7 = |
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x4 x2 x7 |
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(x3 )3 |
If you had difficulty with any of these questions, you may want to print and complete the Math Refresher lesson “Powers.”
d)− 271
e)64
f)x14
g)x12
h)x24
i)x6
j)x4
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GMAT
Quantitative – Algebra
Algebra
Simplify the following
a)8x + 5x
b)4x − y + x −5y
c)xy 2 −8x2y 2 − 4xy 2
d)x + x +6y + 4 −3y +7x −5y −8x −9
Expand and simplify the following
e)3x2 (4x4 −5x )
f)−4x3y (3xy − x7y 2 )
g)7x2y (yz − 4xy )
h)(x −6)(x +5)
i)(3x −5)(x +1)
j)(7x +1)(7x −1)
Answers:
a)13x
b)5x −6y
c)−3xy 2 −8x2y 2
d)x −2y −5
e)12x6 −15x3
f)−12x4 y 2 + 4x10y 3
g)7x2y 2z −28x3y 2
h)x2 − x −30
i)3x2 −2x −5
j) 49x2 −1
If you had difficulty with any of these questions, you may want to print and complete the Math Refresher lesson “Algebra.”
6
GMAT
Quantitative – Equation Solving
Equation solving
Solve each equation for x
a) 2x + 5 = 17
b)−3x −11 = 13
c)4x −8 = 9x +22
d)18 = 2(3 − x )
e)8 −7x +2 +6x = x
f)4(x +1)= 3x +11
g)x +2x + x = 24 −2x
h)15 = 7x +22
Answers:
a)x = 6
b)x = −8
c)x = −6
d)x = −6
e)x = 5
f)x = 7
g)x = 4
h)x = −1
If you had difficulty with any of these questions, you may want to print and complete the Math Refresher lesson “Equation Solving.”
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