Multiple choice pre-algebra questions to assess your skills in: order of operations, integers, decimals, fractions, divisibility, factors, prime numbers, GCF, LCM, scientific notation, exponents, square roots, ratios, proportions, percentages, basic statistics (mean, median, mode), slope of a line, and applications. Questions include answers and detailed step-by-step solutions.
Evaluate:
\[72 - 9 \div 3 \cdot 2 + 2 =\]
A) 21
B) 23
C) 44
D) 68
E) 74
In scientific notation:
\[3.0 \times 10^{-5} + 0.0000022 =\]
A) \(3.5 \times 10^{-5}\)
B) \(3.22 \times 10^{-5}\)
C) \(5.2 \times 10^{-6}\)
D) \(3.5 \times 10^{-6}\)
E) \(5.2 \times 10^{-11}\)
If \(\frac{2}{3} \div \frac{4}{5} \times \frac{6}{7}\) is calculated and the fraction reduced to simplest form, what is the numerator?
A) 12
B) 8
C) 7
D) 6
E) 3
Calculate: \(\frac{3}{4} + \frac{2}{5} - \frac{1}{8}\)
A) \(\frac{59}{80}\)
B) \(\frac{17}{20}\)
C) \(\frac{6}{7}\)
D) \(\frac{16}{15}\)
E) \(\frac{17}{15}\)
A shop owner increased a shirt's price from \( \$20 \) to \( \$26 \). What percentage increase is this?
A) 6
B) 26
C) 30
D) 46
E) 60
Evaluate:
\[\frac{3}{4} + 0.85 + 20\% =\]
A) 27.85
B) 1.8
C) 23.85
D) 2.85
E) 21.6
Tom worked 6 hours at \( \$5.50 \) per hour. He bought two magazines at \( \$9.50 \) each and a pen at $8.25. How much money does he have left?
A) $60.25
B) $15.25
C) $33
D) $27.25
E) $5.75
Bill bought \(1\frac{3}{4}\) pounds of Cheddar, 3.75 pounds of blue cheese, and \(4\frac{1}{2}\) pounds of goat cheese. Total pounds of cheese?
A) 8
B) 7.75
C) 9.25
D) 10
E) 7
In a school, 40% of students are 8 years old or younger. The remaining students number 120. How many students are 8 or younger?
A) 80
B) 160
C) 480
D) 320
E) 740
One-fifth of students have no siblings. Of the rest, 40% have one sibling. What percentage of all students have more than one sibling?
A) 60
B) 80
C) 48
D) 20
E) 45
A car hire company offers Plan A: \( \$20/day \) plus 5¢/km, and Plan B: \( \$15/day \) plus 7¢/km. For how many kilometers do both plans cost the same?
A) 1000
B) 800
C) 242
D) 400
E) 250
Joe worked \(x\) hours and earned \(y\) dollars. How much does he earn for \(z\) hours?
A) \(\frac{yz}{x}\)
B) \(\frac{z}{xy}\)
C) \(xyz\)
D) \(\frac{zx}{y}\)
E) \(\frac{xy}{z}\)
In a science test, a class of 30 students averaged 80. The 20 girls averaged 85. What is the average of the 10 boys?
A) 60
B) 70
C) 80
D) 85
E) 90
Find \(y\) if \(\frac{y}{5} = \frac{10}{25}\).
A) 80
B) 25
C) 2
D) 8
E) 1
Evaluate:
\[\sqrt{3^2 + 4^2} =\]
A) 7
B) 25
C) 50
D) 12
E) 5
A club has 24 members (15 females, rest males). What is the ratio of males to total members?
A) 15:24
B) 24:9
C) 9:24
D) 9:39
E) 9:15
Write 2.05 as a mixed number.
A) \(20\frac{1}{2}\)
B) \(2\frac{1}{2}\)
C) \(2\frac{1}{5}\)
D) \(2\frac{1}{20}\)
E) \(2\frac{2}{5}\)
Which number is divisible by 3?
A) 101267
B) 22345
C) 934567
D) 934566
E) 11177811
Which is NOT a prime number?
A) 27
B) 29
C) 17
D) 37
E) 23
What is the slope of a line parallel to the line through points \((2,0)\) and \((-1,3)\)?
A) -3
B) 1
C) 0
D) 3
E) -1
What is the GCF of 32 and 48?
A) 32
B) 16
C) 8
D) 4
E) 2
Which pair has an LCM of 24?
A) 6 and 8
B) 6 and 12
C) 4 and 6
D) 4 and 3
E) 4 and 8