1.
The number 101.0112 converted to base ten is equal to
2.
A sum of £50,000 was invested by two partners in a project which yielded £90,000. If the profit was shared in the ratio 3 : 5, the difference between the amounts received by the partners is
3.
The sum of prime numbers between 1 and 15 is
4.
A rectangle is formed from a square by increasing the latter's length by 50% while reducing its width by 50%.
The ratio of the area of the rectangle to that of the square is
5.
Convert 6910 to a number in base two
6.
Ebuka sold a radio set to Jenny at a profit of 10% and Jenny sold it for $2612.50 at a loss of 5%.
The cost of the radio to Ebuka was
7.
If 32x = 20ten,
the value of x is
8.
Two brothers Kameel and Kafeel owned a business in which the ratio of shares was 3 : 2 respectively.
Kafeel later sold ½ of his share to Kameel for £12,000.
The value of the business was
9.
When the food bill for a family increased by 20% during a pandemic,
the family head reduced the quantity of food bought for the family by 15%.
The fractional increase in the food bill is now
10.
Zara deposited £1500.00 in her bank account.
At the end of five years the simple interest on the account amounted to £550.00. The rate per annum of interest was
11.
A trader sold an article for N 660.00 at a profit of 20%.
In order to make a profit of 30%,
the article should have been sold for
12.
Two friends Tyson and Kourtney went out to lunch at a restaurant.
If Tyson contributed 40% of the cost and Kourtney contributed the balance,
which is $150, the cost of the lunch was
13.
In a Year 12 class of 45 students, every student has to offer either Chemistry or Economics or both.
If 25 students offer Chemistry while 34 offer Economics,
how many students offer both subjects?
14.
If X = {prime factors of 84} and
Y = {prime factors of 315},
the elements of X∪Y and X∩Y are, respectively
15.
A trader bought 132 oranges at C30 each, and sold them at C42 each,
where C is the currency reckoned in base 4,
the profit is
16.
If X = {1, 2, 3, 4} and
Y = {3, 5, 6},
the elements of (X∪Y)∩X are
17.
A grocer sells an article for £54 at a profit of 8%.
What is her percentage profit or loss if she sells the same article for £44?
18.
After getting a pay rise of 20%, a man's new annual salary is N21,600.
His salary before the pay rise was
19.
GATE Academy registers 300 candidates for an examination.
180 of the candidates offer Economics and 70 offer Geography.
80 candidates offer neither Economics nor Geography.
The number of candidates offering both Economics and Geography is
20.
The value of (1112)2,
expressed in base 2 is
21.
If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
X = {1, 2, 4, 6, 7, 8, 9}
Y = {1, 2, 3, 4, 7, 9}
Z = {2, 3, 4, 7, 9}
What is X∩Y∩Z?
22.
In a class of 58 students, 35 offer Biology, 28 offer Economics and 15 offer Physics.
Each student offers at least one of the three subjects.
If 12 students offer both Biology and Economics, 7 students offer both Biology and Physics and 5 students offer both Economics and Physics,
how many students offer all three subjects?
23.
If 641x + 156x = 807x,
the number base x is
24.
P and Q are two sets such n(P ∪ Q) is 50, n(P) is 40 and n(Q) is 18.
What is n(P ∩ Q)
25.
If X = (a, b, c),
Y = (a, b, c, d, e) and
Z = (a, b, c, d, e, f, g)
then (X∪Y)∩(X∪Z) is
