Standard Maths Problem, Questions and Solution
Put your math knowledge to the test with this standard math questions. Find a wide range of questions & answers related to addition, multiplication, subtraction, division, geometry, numbers and general math knowledge.
How many of the thirty questions can you answer correctly? Give it your best shot and find out! When you’ve finished simply scroll down to the bottom of the page to see how well you did and check the correct answers.
1.
A certain lab experiments with white and brown mice only. In one experiment, 2/3 of the mice are white. If there are 13 brown mice in the experiment, how many mice in total are in the experiment? 
A.
39 
B.
33 
C.
26 
D.
21 
E.
10 
2.
Of 40 applicants for a job, 32 had at least 5 years of prior work experience, 24 had advanced degrees, and 16 had at least 5 years of prior work experience and advanced degress. How many of the applicants had neither 5 years of prior work experience nor advance degrees? 
A.

B.
2 
C.
4 
D.
8 
E.
16 
3.
A shopkeeper is giving 6kg of rice at the price of $5d per kg. what should be the markup on cost price if he wants to make a profit of 20 percent? 
A.
25% 
B.
50% 
C.
44% 
D.
20% 

4.
If 8a =9b ab=0, what is the ratio of a to b 
9 9

A.
64 
81

B.
8 
9

C.
1 
D.
9 
8

E.
81 
64

5.
Two hundred multiples of seven are chosen at random, and 300 multiples of eight are chosen at random. Approximately what percentage of the 500 selected numbers are odd? 
A.
20% 
B.
25% 
C.
40% 
D.
50% 
E.
80% 
6.
A coed soccer team has W women and M men on the team. If 4 women and 2 men are to the team roster, and if one person on the team is selected at random to serve as team captain, then the probability that the team captain will be a woman can be represented as: 
A.
W + 4 
W + M + 6


B.
W +4 
W + M + 2

C.
W + 4 
M + 2

D.
W + 4 
W + W

E.
W 
M

7.
If a selling price of a mat is five times the discount offered and if the percentage of discount is equal to the percentage and if the ratio of the discount offered to the the cost price. 
A.
11 : 30 
B.
1 : 5 
C.
1 : 6 
D.
7 : 30 
8.
If price have earned x dollars by working 3 days a week at a constant daily rate for w weeks, which of the following represents his daily wage? 
A.
3xw 
B.
3w 
X

C.
w 
3x

D.
xw 
3

E.
x 
3w

9.
In a certain conservation mutual fund, 70 percent of the money is invested in bonds, and of that portion, 40 percent is invested in highly rated corporate bonds. If at least $1.4 million bonds, what is the smallest possible total value for the mutual fund? 
A.
$4 million 
B.
$5 million 
C.
$6 million 
D.
$7 million 
E.
$8 million 
10.
In a sample of 800 high school students in which all students are either freshmen, sophomores, juniors, or seniors, 22 percent are juniors and 74 percent are not sophomores. If there are 160 seniors, how many more freshmen than sophomores are there among the sample of students? 
A.
42 
B.
48 
C.
56 
D.
208 
E.
256 
11.
The time it took car P to travel 600 miles was 2 hours less than the time it took car R to travel the same distance. If car P’s average speed was 10 miles per hour greater than that of car R, what was car R’s average speed, in miles per hour? 
A.
40 
B.
50 
C.
60 
D.
70 
E.
80 
12.
Stella has 25 pairs of shoes. If she loses 9 individual shoes, what is the greatest number of matching pairs she could have left 
A.
21 
B.
20 
C.
19 
D.
16 
E.
15 
13.
If victory was 18 months old one year ago, how old was hw in months, x months ago? 
A.
X – 30 
B.
X – 12 
C.
18 – x 
D.
24 – x 
E.
30 – x 
14.
A restaurant orders 150kg of pumpkins from the farmer’s market. The farmer fills the order with 23 pumpkins. The average mass of the first 20 pumpkins is 6.5kg. what must be the minimum average mass of the remaining 3 pumpkins to the fill order? 
A.
5.5kg 
B.
5.67kg 
C.
6.67kg 
D.
7kg 
E.
11.5kg 
15.
The square root of 636 is between which set of inegers? 
A.
24 and 25 
B.
25 and 26 
C.
26 and 27 
D.
27 and 28 
E.
28 and 29 
16.
In a forest 150 deer were caught, tagged with electronic makers, then released. A week later, 50 deer were captured in the same forest. Of these 50 deer, it was found that 5 had been tagged with the electronic makers. If the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest, and if no deer had either left or entered the forest over the preceding week, what is the approximate number of deer in the forest. 
A.
150 
B.
750 
C.
1, 250 
D.
1, 500 
E.
2, 500 
17.
A type of extralarge SUV average 12.2 miles per gallon (mpg) on the highway, but only 7.6 mpg in the city. What is the maximum distance, in miles, that this SUV could be driven on 25 gallons of gasoline? 
A.
190 
B.
284.6 
C.
300 
D.
305 
E.
312 
18.
Them ratio of two quantities is 5 to 6. If each of the quantities is increased by 15 what is the ratio of these 2 new quantities? 
A.
5.6 
B.
25.27 
C.
15.16 
D.
20.21 
E.
It cannot be determined from the information given 
19.
In an animal behavior experiment, 50 tagged white pigeons and 200 tagged gray pigeons were released from a laboratory. Within one week, 88 percent of the white pigeons and 80.5 percent of the gray pigeons had returned to the laboratory. What percent of the total number of pigeons returned to the laboratory? 
A.
80.5 
B.
82. 
C.
82.5 
D.
85 
E.
86.5 
20.
At the wholesale store you can buy an 8 pack of hot dogs for S1.55, a 20pack for S3.05 and a 250packed for S22.95. what is the greatest number of hot dogs you can buy at this store with S200? 
A.
1,108 
B.
2,100 
C.
2,108 
D.
2,124 
E.
2,256 
21.
One day a car rental agency rented 2/3 of its cars, including 3/5 of its cars with CD players. If ¾ of its cars have CD players what percent of the cars that were not rented had CD players 
A.
10% 
B.
35% 
C.
45% 
D.
66% 
E.
90% 
22.
A farmer with 1,350 acres of land had planted his fields with corn, sugar cane, and tobacco in the ratio of 5:3:1, respectively, but he wanted to make more money, so he shifted the ratio to 2:4:3, respectively. How many more acres of land were planted with tobacco under the new system. 
A.
90 
B.
150 
C.
270 
D.
300 
E.
450 
23.
If a three –digit number is selected at random from the integwers 100 m 999, inclusive, what is the probability that the first digit and the last digit of the integer will both be exactly two less than the middle digits? 
A.
1:900 
B.
7:900 
C.
9:1,000 
D.
1:1000 
E.
7:100 
24.
Three different lumberjacks, can chop W amount of woods in 30 minutes, 45 minutes, and 50 minutes respectively according to their different levels of skill with the axe. How many wood, in terms of W, could the two fastest lumber jacks chop in two hours? 
A.
6 2/3W 
B.
6W 
C.
4 2/3W 
D.
3W 
E.
2 2/3W 
25.
The last year jacke saved 5% of her annual salary. This year she made 10% more than last year, she saved 8% of her salary. The amount saved this year was what percent of the amount she saved last year? 
A.
56% 
B.
76% 
C.
158% 
D.
176% 
E.
188% 
26.
The marked price for a pair of shoes is 60% above the cost price. A shop keeper sells the pair of shoe after giving a discoung x%. Now he raised the marked price by x% and gave a discount of (x + 5) %. If the profit earned in the second case is twise that of the first case, find the value of x. 
A.
20 
B.
25 
C.
10 
D.
15 
27.
If a paper cost N1 a sheet, and a buyer gets 2% discount on all the papers she buys after the first 1,000 sheets, how much will it cost to buy 5,000 sheets of paper? 
A.
N49.20 
B.
50.20 
C.
3,920.00 
D.
4.920.00 
E.
5.000.00 
28.
(23 1) (23 +1) (26+1) (212+1) = 
A.
(224 1) 
B.
(224+1) 
C.
248+ 1) 
D.
(296+1) 
E.
(2121) 
29.
To the considered for “ motive of the year”, a firm must appear in atleast ¼ of the top 10movies list submitted by Cinematic Academy’s 765 members. What is the smallest of the top10 list a film can appear on and still be considered for “ movie of the year” 
A.
191 
B.
192 
C.
193 
D.
212 
E.
213 
30.
In a sample of associates at a law firm 30 percent are secondyear associates and 60 percent are not first year associates. What percentage of associates are the law firm have been there for more than two year 
A.
10 
B.
20 
C.
30 
D.
40 
E.
50 
31.
Which of the following fractions has the greatest value 
A.
48 
(25)(32)

B. 12

(24)(33)

C. 6

(23)(32)

D. 144

(24)(323)

E. 81

(23)(35)

SOLUTIONS
1.
A
A
2.
A
A
3.
C
C
4.
C
C
5.
A
A
6.
A
A
7.
D
D
8.
E
E
9.
B
B
10.
B
B
11.
B
B
12.
B
B
13.
E
E
14.
C
C
15.
B
B
16.
D
D
17.
D
D
18.
E
E
19.
B
B
20.
B
B
21.
E
E
22.
D
D
23.
B
B
24.
A
A
25.
D
D
26.
B
B
27.
C
C
28.
A
A
29.
B
B
30.
C
C
31.
A
A