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Mathematics Past Questions and Answers

Mathematics Past Questions


Question 11 :


A trader goes to Ghana for y days with y cedis. For the first x days, he spends X cedis per day. The amount he has to spend per day for the rest of his stay is

A. \(\frac{y(y - x)}{y - x}\) cedis
B. \(\frac{Yy - Xx)}{y - x}\) cedis
C. \(\frac{Y - Xy)}{y - x}\) cedis
D. \(\frac{Y - X}{y - x}\) cedis
E. \(\frac{Y - Xx}{y - x}\) cedis


Question 12 :


A group of market women sell at least one of yam, plantain and maize. 12 of them sell maize, 10 sell yam and 14 sell plantain. 5 sell plantain and maize, 4 sell yam and maize, 2 sell yam and plantain only while 3 sell all the three items. How many women are in the group?

A. 25
B. 19
C. 18
D. 17


Question 13 :


Make q the subject of the formula in the equation \(\frac{mn}{a^2} - \frac{pq}{b^2} = 1\)

A. \(q = \frac{b^2(mn - a^2)}{a^2 p}\)
B. \(q = \frac{m^2 n - a^2}{p^2}\)
C. \(q = \frac{mn - 2b^2}{a^2}\)
D. \(q = \frac{b^2 (n^2 - ma^2)}{n}\)


Question 14 :


The angle of elevation of the top of a tree from a point on the ground 60m away from the foot of the tree is 78°. Find the height of the tree correct to the nearest whole number.

A. 148m
B. 382m
C. 282m
D. 248m


Question 15 :


A binary operation \(\otimes\) is defined by \(m \otimes n = mn + m - n\) on the set of real numbers, for all m, n \(\in\) R. Find the value of 3 \(\otimes\) (2 \(\otimes\) 4).

A. 6
B. 25
C. 15
D. 18






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