Good day my pupils and my good students, in this post i will solve all the the common entrance exam on mathematics If you know you were among those that wrote the examination and were also looking forward to know how to solve them ,you have to read this post and follow the method in solving each question.The examination include the following:
Mathematics
English Language
Basic Science and Technology
Pre-Vocational Studies
But i will focus on mathematics only so pay attention and follow up my method of solving each question.
1. Write in figures:seventy thousand and seventy-seven
Answer : 70,77 ---------- option A
2. If p x p = 144,find p
This means square roots of 144
Answer : 12-------- option D
3. What number multiplied by 3 is equal to 138
This means you divide 138 by 3
138
--------- = 46
3
Answer : 46 --------option A
1 1 3
4. Simplify 5----- x ------ ÷ 1 -------
3 4 5
The first thing is changing the mixed number to improper fraction, then the reciprocal of the last fraction.
1 1 3
5----- x ------ ÷ 1 -------
3 4 5
16 1 5
= ----------- x -------- x --------
3 4 8
4
= --------- x ------- x ----------
3 4 8
1
4 1 5
= ---------- x --------- x ---------
3 1 8
4 x 1 x 5
= -------------
3 x 1 x 8
10 5
= -------- = ---------- ( common divisor is 2)
12 6
5
Answer : = -------- option B
6
5. Working for 10 hours a day, a carpenter completed a job in 15 for days.How long would in take him,if he works 6 hours a day? This simply means you should multiply 10 by 15 and then divided it by 6. Please we should know that things involve in life is factors and time taken. I say things working together for matters.
Answer : 25 days -------- option C
6. Evaluate 3952 ÷13
This one talks about division.
3952
= ---------------
13
Answer : 304 ----------- option D
7. Siria's father was 18 year old in 1918.How old was he in 1978?
Previous year is 18.----- first year
then 1978 - 1918 = 60
60 + 18 = 78 years
Answer : 78 years ----- option C
108
8. Express ------------- in its lowest terms.
114
Both the numerator and the denominator are even numbers, so let divide them by as the only number to operate.
36
=-------------
38
18
= ---------
19
There is no correct option in that question.
9. The product of two numbers is 187.If one of the numbers is 17,find the other number.
This one is also similar to question number 3, just divide the biggest number (187) by 17.
180
= ------------
17
Answer: 11 ----------- option C
10. Find the H.C.F(Highest Common Factor) of 8, 24 and 40.
The most simplest method is dividing one after the other,lets ooo...
For 8.
2 | 8
2 | 4
2 | 2
| 1
8 =1 2 x 2 x 2 ---- most times, the H.C.F could be 1.
For 24.
2 | 24
2 | 12
2 | 6
3 | 3
| 1
24 = 1 x 2 x 2 x 2 x 3
For 40.
.
2 | 40
2 | 20
2 | 10
5 | 5
| 1
40 = 1 x 2 x 2 x 2 x 5
---------------------------
8 =1 x 2 x 2 x 2
24 = 1 x 2 x 2 x 2 x 3
40 = 1 x 2 x 2 x 2 x 5
The H.C.F of 8 ,20 and 40 = 1 x 2 x 2 x 2 = 8
Answer: 8 ----------- option B
11. Find the L.C.M of 9 and 12.
Let rearrange them to start with 2.
2 | 12 , 9 ( 9 ) can not be divided by 2
3 | 6 , 9
2 | 2 , 3 ( 3 ) can not be divided by 2
3 | 1 , 3
| 1 , 3
The L.C.M of 9 and 12 = 1 x 3 x 2 x 3
= (1 x 3 ) x ( 2 x 3)
= 3 x 6
= 18
Answer: 18 ----------- option C
12. Simplify 150 / 180
30
= ------------ ( 5 is the first divisor)
36
15
= -------------- ( 2 is the second divisor)
18
5
= ----------- ( 3 is the third divisor)
6
5
Answer -------- option ------- C
6
13. Find the value of -9/10 of 1 hour.
This how to solve this particular one. Remember, in mathematics "of " means" x" also 1 hour is 60 minutes so we say..
- 9
= --------- x 60
10
= 60 / 10= 6
= 6 x 9
Answer : 54 option ------ B
14. Pencils are sold at 3 for ₦ 25 .Kolasola bought 9 pencils. How much did he pay?
This is to say 3 for ₦ 25 pencils ,then we keep 25 in 3 places..
3 ------- 25
3---------25
3---------25
P = ₦ 75.00
or
We make it this by saying:
9 x 25 225
------------ = --------- = 75
3 3
Answer: ₦ 75.00
15. Danladi got right 85 of the 100 questions given in an objective test.What fraction of the questions did he not get?
85 of the 100,is the same as 85 out of 100.Then we will express it this way
85 of the 100
17
= -----------
20
17
=1 - -------
20
20 - 17
= --------------
20
3
Answer --------- option -------D
20
16. What is the sum of the prime numbers between 20 and 30?
Now we all know that prime numbers are those numbers that have two factors only 1 and its self. from 20 - 30, we have 23 and 29 so,the sum is...
23 + 29 = 52
Answer : 52 ------ option B
17. Add 6432,89,807 and 7.
Here we apply place value method by saying..
1 1 2 ------ remainders
6 4 3 2
+ 8 0 7
+ 8 9
+ 7
-----------------------
7 3 3 5
-----------------------
Answer: 7 3 3 5 ------ option C
18. From eight thousand and eighty, subtract eight hundred and eight.
This simply means ....
= 8080 - 808
Answer :7272 ------- option C
19. There are 720 pupils in an Arabic school.If 7/9 of them are boys,how many girls are in the school.
7
Lets say ------- of 720
9
7
= ---------- x 720
9
= 720 / 9
= 80 x 7
Answer: 560 ------ option B
20. Find the value of x in the diagram below.
This is an obtuse angle which is greater than angle 90°..it is from 91°--------180°
x° + 48° = 180°
180° - 48° = x°
132° = x°
x = 132°
Answer : x =132° ------- option B
21. which of the following fractions has the same value as 3 / 4?
3
3 + 3 6
= ------------ = ----------
5 + 3 8
4
3
Answer ------- ------ option A
4
22. Change 91/6 to mixed fraction
91
-----------
6
1
Answer 15 -------- ------ option B
6
23. If 5k/3 = 10, find k
This one is open sentences question
5k
---------- = 10
3
Multiply both sides by 3.
1
5k 3
--------- x ------- = 10 x 3
1
5k = 30
Divide both sides by 5 ( not 5k).
5k 30
------- = ---------
5 5
k = 6
Answer : 6 ------- option B
24. Find the perimeter of a rectangle with length 10cm and breadth 5cm
P = 2 ( L + B) cm²
= 2 ( 10 + 5)cm²
= 2 (15)
= 2 x 15
P = 30cm²
Answer : 30cm² ------ option A
That was a great work, just follow up the above operation then if there is any of them that you don't understand asked me questions.You check your answers and the correspond with mine that means you have 100/100...Also, if you see any mistake please let me know.
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