Math Flashcards
The hypotenuse (side C) of a triangle is 13 inches long. Which of the following pairs of measurements could be the correct for the lengths of the other two sides of the triangle? (Note: A2 + B2= C2)
A. 5 inches, 12 inches
B. 2.5 inches, 6 inches
C. 2.5 inches, 4 inches
D. 5 inches, 8 inches
A. 5 inches, 12 inches
a2 + b2 = c2
5^2 + 12^2 = 13^2
25 + 144 = 169
169 = 169
What is the area of a square that measures 3.1m on each side?
A. 12.4m2
B. 9.61m2
C. 6.2m2
D. 9.1m2
B. 9.61m2
Area of the square
= 3.1 m * 3.1 m = 9.61 m2
Which of the following is 3/8 divided by 5/8?
A. 10/9
B. 9/10
C. 3/5
D. 5/12
C. 3/5
3/8 / 5/8 = 3/8 * 8/5 = 24/40 = 12/20 = 6/10 = 3/5
Which of the following options correctly orders the numbers below from least to greatest?
235.971, 145.884, -271.906, -193.823
A. -271.906, -193.823, 145.884, 235.971
B. -271.971, 235.971, -193.823, 145.884
C. 145.884, -193.823, 235.971, -271.906
D. -193.823, -271.906, 145.884, 235.971
A. -271.906, -193.823, 145.884, 235.971
Which of the following values is the greatest?
A. 9/2
B. 10/3
C. 4.4
D. 4.25
A. 9/2
9/2 * 300=1350
10/3 * 300=1000
44/10 * 300=1320
425/10 * 300=1275
The width of a rectangle is 4 inches (in) and the area of the rectangle is 32 in2. Which of the following is the length of the rectangle?
A. 8 in
B. 28 in
C. 36 in
D. 128 in
A. 8 in
32 = L*4
32 = 4L
32 / 4 = 4L / 4
8 = L
To rent a tablecloth from a rental vendor, there is an initial charge of $40. There is an additional charge of $5 per circular tablecloth (c) and $3.50 per rectangular tablecloth (r).
Which of the following represents the total cost (T) to rent tablecloths?
A. 5r + 3.5c - 40 = T
B. 5c + 3.5r + 40 = T
C. 5c + 3.5r - 40 = T
D. 5r + 3.5c + 40 = T
B. 5c + 3.5r + 40 = T
$40 = Initial charge
$5c = Additional charge per circular cloth
$3.50r = Additional charge per rectangular cloth
Four friends are sharing a pizza. One friend eats half of the pizza. The other three friends equally divide the rest among themselves. What potion of the pizza does each of the other three friends receive?
A. 1/6
B. 1/5
C. 1/3
D. 1/4
A. 1/6
One friend eats half of the pizza
= ½ of 1= ½ * 1 = ½
Now, three friends share ½ equally and each friend will get,
½ / 3 = ½ * 1/3 = 1/6
Which of the following is the value of x in the equation below?
4x - 3 - 5x = 24
A. -27
B. -6
C. 3
D. 21
A. -27
4x - 3 - 5x = 24
4x - 3 + 3 - 5x = 24 + 3
4x - 5x = 27
-x = 27
Divide both sides by -1
-x /-1 = 27 / -1
x = -27
A local law school reports that 74% of last year’s graduates are employed by law firms, 3% work for the government and 2% work for nonprofit organizations. The rest of the graduates’ work at jobs unrelated to law. Based on these outcomes, which of the following is the percentage of graduates working jobs unrelated to law?
A. 5%
B. 79%
C. 69%
D. 21%
D. 21%
74 % = employed by law firms
3 % = work for the government
2 % = work for nonprofit org.
total = 77 %
100 - 77 = 21 % (graduates working for jobs unrelated to law)
For a school’s annual budget, the total amount of money spent on supplies (s) and textbooks (t) cannot exceed $12,000. Which of the following inequalities represents this scenario?
A. s + t >= $12,000
B. s + t > $12,000
C. s + t < $12,000
D. s + t <= $12,000
D. s + t <= $12,000
The money spent can still be equal to $12000, as it has not exceeded it.
Therefore, the required inequality is s + t <= $12,000.
A farmer needs to buy fertilizer for his farmland. The instructions on the bag of the fertilizer say 49.5 pounds of fertilizer is needed for 1 acre of land. The farmer buys 2,000 pounds of fertilizer. Which of the following is the approximate number of acres he can cover with the fertilizer he bought?
A. 40
B. 120
C. 300
D. 1000
A. 40
2000lbs * 1 acre / 49.5lbs = 40.40
or
2000lbs * 1 acre / 50lbs = 40
Using the numbers below, which of the following is the greatest?
4/3, 27/20, 1.369, 1.357
A. 1.369
B. 4/3
C. 27/20
D. 1.357
A. 1.369
4/3 = 1.333
27/20 = 1.35
1.369 (greatest)
1.357
A recipe calls for 2.5 teaspoons of vanilla, 1 teaspoon equals approximately 4.93 mL. Which of the following is the correct amount of vanilla in mL?
A. 12.325 mL
B. 5.32 mL
C. 7.43 mL
D. 0.507 mL
A. 12.325 mL
2.5 tsp * 4.93mL / 1tsp = 12.325 mL
