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Mathematics
WAEC / WASSCE 2018
Number and Numeration
Solution
Simplify; 2\(\frac{1}{4} \times 3\frac{1}{2} \div 4 \frac{3}{8}\)
A
\(\frac{5}{9}\)
B
1\(\frac{1}{5}\)
C
1\(\frac{1}{4}\)
D
1\(\frac{4}{5}\)
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
2\(\frac{1}{4} \times 3\frac{1}{2} \div 4 \frac{3}{8}\)
= \(\frac{9}{4} \times \frac{7}{2} \div \frac{35}{8}\)
= \(\frac{9}{4} \times \frac{7}{2} \times \frac{8}{35}\)
= \(\frac{9}{5}\)
= 1 \(\frac{4}{5}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #49047)
Mathematics
UTME / JAMB 2018
Number and Numeration
Solution
In a class of 40 students, 32 offer Mathematics, 24 offer Physics and 4 offer neither Mathematics nor Physics. How many offer both Mathematics and Physics?
A
4
B
8
C
16
D
20
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
Let the number of people that offer both Mathematics and Physics = y
Then, \((32 - y) + y + (24 - y) + 4 = 40\)
\(60 - y = 40 \implies y = 20\)
\(\therefore\) 20 students offer both Mathematics and Physics.
Source: Myschool Past Questions Archive (Record #46974)
Mathematics
UTME / JAMB 2018
Number and Numeration
Solution
Find the values of x for which
\(\frac {x+2}{4}\) - \(\frac{2x - 3}{3}\) < 4
A
x < 8
B
x > -6
C
x < 4
D
x > -3
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
\(\frac {x+2}{4}\) - \(\frac{2x - 3}{3} < 4\)
\(\frac{3(x + 2) - 4(2x - 3)}{12} < 4\)
\(3x + 6 - 8x + 12 < 48 \)
\(18 - 5x < 48 \implies -5x < 30\)
\(\therefore x > -6\)
Source: Myschool Past Questions Archive (Record #46975)
Mathematics
UTME / JAMB 2018
Number and Numeration
Solution
A trader realises 10x - x\(^2\) Naira profit from the sale of x bags of corn. How many bags will give him the maximum profit?
A
7
B
6
C
5
D
4
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
Profit (P) = 10\(_x\) − \(_x\)2
Maximum profit can be achieved when the differential of profit with respect to number of bags(x) is 0
i.e. \(\frac{dp}{dx}\) = 0
\(\frac{dp}{dx}\) = 10 - 2x = 0
10 = 2x
Then x = \(\frac{10}{2}\) = 5
Answer is C
Source: Myschool Past Questions Archive (Record #46980)
Mathematics
UTME / JAMB 2018
Number and Numeration
Solution
If y = 23\(_{five}\) + 101\(_{three}\) , find y, leaving your answer in base two
A
1110
B
10111
C
11101
D
111100
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
y = 23\(_{five}\) + 101\(_{three}\)
23\(_{five}\) = \(2 \times 5^1 + 3 \times 5^0\)
= 13\(_{ten}\)
101\(_{three}\) = \(1 \times 3^2 + 0 \times 3^1 + 1 \times 3^0\)
= 10\(_{ten}\)
y\(_{ten}\) = 13\(_{ten}\) + 10\(_{ten}\)
= 23\(_{ten}\)
= 10111\(_{two}\)
Source: Myschool Past Questions Archive (Record #46982)
Mathematics
UTME / JAMB 2018
Number and Numeration
Solution
A school girl spends \(\frac{1}{4}\) of her pocket money on books and \(\frac{1}{3}\) on dress. What fraction remains?
A
\(\frac{5}{6}\)
B
\(\frac{7}{12}\)
C
\(\frac{5}{12}\)
D
\(\frac{1}{6}\)
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
let the girls' initial pocket money be whole(1)
\(\frac{1}{4}\) of 1 = books, \(\frac{1}{3}\) of 1 = dress
fraction of her money left = 1 - \(\frac{1}{4}\) - \(\frac{1}{3}\)
= \(\frac{5}{12}\)
Source: Myschool Past Questions Archive (Record #46985)
Mathematics
UTME / JAMB 2018
Number and Numeration
If \(\frac{x}{a + 1}\) + \(\frac{y}{b}\) = 1. Make y the subject of the relation.
A
\(\frac{b(a + 1 - x)}{a + 1}\)
B
\(\frac{a + 1}{b(a - x + 1)}\)
C
\(\frac{a(b - x + 1)}{b + 1}\)
D
\(\frac{b}{a(b - x + 1)}\)
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
No expanded working has been attached for this question yet. The verified answer is Option A.
Source: Myschool Past Questions Archive (Record #46987)
Mathematics
UTME / JAMB 2018
Number and Numeration
Solution
Convert 0.04945 to two significant figures
A
0.040
B
0.049
C
0.050
D
0.49
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
0.04945 to 2s.f is 0.049
Source: Myschool Past Questions Archive (Record #46989)
Mathematics
UTME / JAMB 2018
Number and Numeration
Solution
Simplify
\(\frac {25^{\frac{2}{3}} \div 25^{\frac{1}{6}}} {(\frac{1}{5})^{\frac{7}{6}} \div (\frac{1}{5})^{\frac{1}{6}}}\)
A
25
B
1
C
\(\frac{1}{5}\)
D
\(\frac{1}{25}\)
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
\(\frac {25^{\frac{2}{3}} \div 25^{\frac{1}{6}}} {(\frac{1}{5})^{\frac{7}{6}} \div (\frac{1}{5})^{\frac{1}{6}}}\)
= \(\frac{25^{\frac{2}{3} - \frac{1}{6}}}{(\frac{1}{5})^{\frac{7}{6} - \frac{1}{6}}}\)
= \(\frac{25^{\frac{1}{2}}}{(\frac{1}{5})}\)
= \(5 \div \frac{1}{5}\)
= 25
Source: Myschool Past Questions Archive (Record #46994)
Mathematics
UTME / JAMB 2018
Number and Numeration
Diagram
Solution
Make T the subject of the relation.
Attached Figure / Diagram
A
T = \(\frac{R + P3}{15Q}\)
B
T = \(\frac{R - 15P^3}{Q}\)
C
T =R - \(\frac{15P^3}{Q}\)
D
T = \(\frac{15R + Q}{P^3}\)
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
P = (\(\frac{Q( R - T )}{ 15})^\frac{1}{3}\)
take cube of both sides
\(P^3 =\frac{Q( R - T)}{ 15}\)
cross multiply
\(15P^3 = Q( R - T)\)
\(\frac{15P^3}{Q}\) = R - T
T = R - \(\frac{15P^3}{Q}\)
Source: Myschool Past Questions Archive (Record #46995)
Mathematics
UTME / JAMB 2018
Number and Numeration
What is the place value of 9 in the number 3.0492?
A
\(\frac{9}{10000}\)
B
\(\frac{9}{1000}\)
C
\(\frac{9}{100}\)
D
\(\frac{9}{10}\)
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
No expanded working has been attached for this question yet. The verified answer is Option B.
Source: Myschool Past Questions Archive (Record #46996)
Mathematics
UTME / JAMB 2018
Number and Numeration
If the simple interest on a sum of money invested at 3% per annum for 2\(\frac{1}{2}\) years is N123, find the principal.
A
N676.50
B
N820
C
N1,640
D
N4,920
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
No expanded working has been attached for this question yet. The verified answer is Option C.
Source: Myschool Past Questions Archive (Record #46997)
Mathematics
UTME / JAMB 2018
Number and Numeration
A boy walks 800m in 20 minutes. Calculate his average speed in Km/H
A
2.4
B
4
C
24
D
6
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
No expanded working has been attached for this question yet. The verified answer is Option A.
Source: Myschool Past Questions Archive (Record #47001)
Mathematics
UTME / JAMB 2018
Number and Numeration
\(\frac{0.00256 \times 0.0064}{0.025 \times 0.08}\)
A
8.8 x 10\(^{-1}\)
B
8.8 x 10\(^{-2}\)
C
8.2 x 10\(^{-3}\)
D
8.8 x 10\(^{3}\)
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
No expanded working has been attached for this question yet. The verified answer is Option C.
Source: Myschool Past Questions Archive (Record #47007)
Mathematics
UTME / JAMB 2018
Number and Numeration
Two sisters, Taiwo and Kehinde, own a store. The ratio of Taiwo's share to Kehinde's is 11:9. Later Kehinde sells \(\frac{2}{3}\) of her share to Taiwo for N720.00. Find the value of the store
A
N1,080.00
B
N2,400.00
C
N3,000.00
D
N3,600.00
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
No expanded working has been attached for this question yet. The verified answer is Option B.
Source: Myschool Past Questions Archive (Record #47008)