Question

math skills pre-test
name: ________ period: date: __

1. shaded rectangle diagram + shaded rectangle diagram = ?

the sum of the shaded portions shown is:
a) 1/100
b) 11/12
c) 5/2
d) 7/10
fill in the correct answer: (a)(b)(c)(d)

1. evaluate: 8 − 2 × 4 = ?

a) 24 b) 0 c) 42
fill in the correct answer: (a)(b)(c)(d)

1. candidate | votes

bill | 100
sarah | 325
shy | 275
trent | 300
in this election for class president, trent received what percent of the vote?
a) 300 %
b) 30 %
c) 255 %
d) 50 %
fill in the correct answer: (a)(b)(c)(d)

1. which number is 10⁴?

a) 1,000 b) 10,000 c) 100,000 d) 40
fill in the correct answer: (a)(b)(c)(d)

1. what is the greatest common factor of 64 and 24?

a) 64 b) 3 c) 12 d) 8
fill in the correct answer: (a)(b)(c)(d)
bottom: number sense, concepts, and operations number correct on...

Explanation:

Question 1

Step1: Determine the fractions

The first figure: a rectangle divided into 4 parts, 3 shaded. So fraction is $\frac{3}{4}$.
The second figure: a rectangle divided into 6 parts, 1 shaded. So fraction is $\frac{1}{6}$.

Step2: Find a common denominator

Common denominator of 4 and 6 is 12.
$\frac{3}{4}=\frac{3\times3}{4\times3}=\frac{9}{12}$, $\frac{1}{6}=\frac{1\times2}{6\times2}=\frac{2}{12}$

Step3: Add the fractions

$\frac{9}{12}+\frac{2}{12}=\frac{11}{12}$

Step1: Follow order of operations (multiplication first)

$2\times4 = 8$

Step2: Subtract

$8 - 8 = 0$

Step1: Calculate total votes

Total votes = 100 (Bill) + 325 (Sarah) + 275 (Shy) + 300 (Trent) = 100 + 325 = 425; 425 + 275 = 700; 700 + 300 = 1000.

Step2: Calculate Trent's percentage

Percentage = $\frac{\text{Trent's votes}}{\text{Total votes}}\times100=\frac{300}{1000}\times100 = 30\%$

Answer:

b) 11/12

Question 2