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 extra-large 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 20-pack for S3.05 and a 250-packed 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.    
(212-1)
29.                      
To the considered for “ motive of the year”, a firm must
appear in atleast ¼ of the top 10-movies list submitted by Cinematic
Academy’s 765 members. What is the smallest of the top-10 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
second-year 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

READ  Top 70 Ranking Universities in Africa

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