BRAIN REFRESHING is a unique and spectacular online quiz basically on Pure Mathematics and Basic Further Mathematics targeted at helping both the students and all interested people acquire sound knowledge in Mathematics and also being able to apply such knowledge in day-to-day activities.

This forum is NOT only meant for Mathematics lovers, it is also for those who are willing to learn. The weekly quiz will be in modules and test series, with each test having 4 questions. Quiz questions will be posted at the beginning of a week while solutions & answers will be posted at the end of the week. YOU ARE HIGHLY WELCOME ON BOARD.

MODULE 1 TEST 1

(1) If 5 is added to twice a number, the result is 17. Find the number.

(2) What is the name given to a set containing only one element or member?

(3) There were 4 white doves on a fence. Four pigeons later joined the bevy. Two kinds of birds flew away some seconds after. A boy named Jack cast a stone at the birds. How many white doves remained on the fence?

(4) If 4 men can dig a portion of land for 14 days, how long will it take 7 men to complete the same task?

NOTE: All answers should be posted before or on Saturday 13th August, 2016.

Incentive will be given to the first TWO participants who give correct answers to the questions.

BEST OF LUCK!!!

Cc: Lalasticlala
Cc: Mynd44

1.ans=6 2.ans is singleton 3.none 4.ans=25 days1.ans=6 2.ans is singleton 3.none 4.ans=25 days1.ans=6 2.ans is singleton 3.none 4.ans=25 days

SOLUTIONS AND ANSWERS TO THE LAST QUIZ (MODULE 1 TEST 1)

(1) Let the number be x.
If 5 is added to twice the number, the result is 17.
That is,
2x + 5 = 17
Collect like terms
2x = 17 - 5
2x = 12
x = 12/2
x = 6
Hence, the number is 6.

(2) Such a set is called SINGLETON.

(3) The answer is 0.
[No bird would remain on the fence]

(4) If 4 men can dig for 14 days,
7 men will dig for [(4 x 14) / 7] days = 4 x 2 = 8 days
Hence, it will take 8 days for 7 men to complete the same task.

THAT'S JUST IT!!! WISHING YOU THE VERY BEST NEXT TIME.

COMMENTS ON THE LAST QUIZ

Ms. Mohcutehayway got 75% in the previous quiz. Being the only participant, she is therefore given an incentive of #1,000 airtime.

@Mohcutehayway:
Kindly indicate the kind of network you'll prefer and the airtime will be sent to your inbox immediately.

Thanks for your courage and attempt. Keep it rolling.

@ALL & SUNDRY:
New week quiz questions (Module 1 Test 2) will be posted soon. Happy Weekend!

Na so Mohcute collect 1k uncontested. Procrastination killed me.

@Kazrem:
Procrastination isn't good. Try to attempt the next quiz in good time.

MODULE 1 TEST 2

(1) Given f(x) = (x - 1) / (x^2 - 2x - 3). If f(x) = 0, find x.

(2) What is the probability of getting a 2 in a single throw of a dice?

(3) What type of set is the set P below?
P = {2, 3, 5, 8, 11, .............}

(4) When 9 is added to a particular number and then divided by 2, the result is 5 times the number. Find the number.

NOTE: All answers should be posted before or on Saturday 20th August, 2016.

BEST OF LUCK!!!

Cc: Lalasticlala
Cc: Mynd44

SOLUTIONS AND ANSWERS TO THE LAST QUIZ (MODULE 1 TEST 2)
(1( Given
f(x) = (x - 1) / (x^2 - 2x - 3)
If f(x) = 0, then
0 = (x - 1) / (x^2 - 2x - 3)
Cross multiplying gives
x - 1 = 0
x = 1

(2) A dice has 6 faces with numbers 1, 2, 3, 4, 5 and 6.
In a single throw, 2 can be obtained once.
Hence, the probability of getting a 2 is
Pr(2) = 1/6

(3) Set P is an infinite set. [That is, one with endless number of elements]

(4) Let the particular number be y.
Going by the question, we shall mathematically obtain
(y + 9) / 2 = 5y
Multiply both sides by 2, we obtain
y + 9 = 2 x 5y
y + 9 = 10y
Collect like terms
y - 10y = -9
-9y = -9
Divide both sides by -9
y = 1
Hence, the particular number is 1.

THAT'S JUST IT!!! WISHING YOU THE VERY BEST NEXT TIME.

MODULE 1 TEST 3

(1) How many edges and vertices has a cube?

(2) What is the place value of 4 in 258.046?

(3) Find the number whose logarithm to base 10 is 1.5682.

(4) When twice a certain number is subtracted from 45, the result is 21. What is that number?

NOTE: All answers should be posted before or on Saturday 27th August, 2016.

BEST OF LUCK!!!

Cc: Lalasticlala
Cc: Mynd44

SOLUTIONS AND ANSWERS TO THE LAST QUIZ (MODULE 1 TEST 3)

(1) A cube has 12 edges and 8 vertices.

(2) The place value of 4 in 258.046 is 4 hundredth.

(3) Using Four-Figure Tables and flipping to Antilogarithm of Numbers.
The number whose logarithm is 1.5682 is found to be 37.

(4) Let the certain number be m.
From the statement, it is mathematically expressed:
45 - 2m = 21
Collect like terms
45 - 21 = 2m
24 = 2m
Divide both sides by 2, we have
m = 12
Hence, 12 is that number.

THAT'S JUST IT!!! WISHING YOU THE VERY BEST NEXT TIME.

MODULE 1 TEST 4

(1) If 2/3 of a certain number is 18, what is that number?

(2) When 568 is subtracted from the product of 12 and 18, what is the result?

(3) Factorise x^2 + 7x + 12

(4) David drives a car and covers a distance of 266 km in 14 hours. At what speed does he move?

NOTE: All answers should be posted before or on Saturday 3rd September, 2016.

BEST OF LUCK!!!

Cc: Lalasticlala
Cc: Mynd44

TEMITOLU:
MODULE 1 TEST 4

(1) If 2/3 of a certain number is 18, what is that number?

(2) When 568 is subtracted from the product of 12 and 18, what is the result?

(3) Factorise x^2 + 7x + 12

(4) David drives a car and covers a distance of 266 km in 14 hours. At what speed does he move?

NOTE: All answers should be posted before or on Saturday 3rd September, 2016.

BEST OF LUCK!!!

Cc: Lalasticlala
Cc: Mynd44

Answers:

1. 27
2. -352
3. (x+3)(x+4)
4. 19km/hr.

Thank God I didn't procrastinate to forget this time.

COMMENTS ON THE LAST QUIZ (MODULE 1 TEST 4)

Kazrem got 100% in the previous quiz. Being the only participant, he is therefore given an incentive of #1,000 airtime.

@Kazrem:
Kindly indicate the kind of network you'll prefer and the airtime will be sent to your inbox immediately. But next time, try showing your working steps as brief as possible on how you arrive at the answers.

Thanks for your courage and attempt. Keep it rolling.

@ALL & SUNDRY:
New week quiz questions (Module 1 Test 5) will be posted soon. Happy Weekend!

TEMITOLU:
COMMENTS ON THE LAST QUIZ (MODULE 1 TEST 4)

Kazrem got 100% in the previous quiz. Being the only participant, he is therefore given an incentive of #1,000 airtime.

@Kazrem:
Kindly indicate the kind of network you'll prefer and the airtime will be sent to your inbox immediately. But next time, try showing your working steps as brief as possible on how you arrive at the answers.

Thanks for your courage and attempt. Keep it rolling.

@ALL & SUNDRY:
New week quiz questions (Module 1 Test 5) will be posted soon. Happy Weekend!

Glo. Thank you.

Friends, Temitolu did it. She sent the #1000 airtime. She is real. Below is the snapshot of her message to me. You too can be #1000 airtime winner next time.

MODULE 1 TEST 5

(1) The decimal part of the logarithm of a number is called ........................

(2) Solve the exponential equation: 3^(x - 3) = 9^2x

(3) If log (2x + 4) - log (3x - 1) = 1, find x.
[NOTE: The logarithm is in base 10.]

(4) The third term of an Arithmetic Progression (A.P) is 16 and its sixth term is 34. Find the common difference.

NOTE: All answers should be posted before or on Saturday 31st December, 2016.

BEST OF LUCK!!!

WISHING YOU MERRY CHRISTMAS & A GLORIOUS NEW YEAR IN ADVANCE.

TEMITOLU:

MODULE 1 TEST 5

(1) The decimal part of the logarithm of a number is called ........................

(2) Solve the exponential equation: 3^(x - 3) = 9^2x

(3) If log (2x + 4) - log (3x - 1) = 1, find x.
[NOTE: The logarithm is in base 10.]

(4) The third term of an Arithmetic Progression (A.P) is 16 and its sixth term is 34. Find the common difference.

NOTE: All answers should be posted before or on Saturday 31st December, 2016.

BEST OF LUCK!!!

WISHING YOU MERRY CHRISTMAS & A GLORIOUS NEW YEAR IN ADVANCE.

Answers

1) Mantissa

2) x = -1

3) x = 1/2 or 0.5

4) d = 6

TEMITOLU:

MODULE 1 TEST 5

(1) The decimal part of the logarithm of a number is called ........................

(2) Solve the exponential equation: 3^(x - 3) = 9^2x

(3) If log (2x + 4) - log (3x - 1) = 1, find x.
[NOTE: The logarithm is in base 10.]

(4) The third term of an Arithmetic Progression (A.P) is 16 and its sixth term is 34. Find the common difference.

NOTE: All answers should be posted before or on Saturday 31st December, 2016.

BEST OF LUCK!!!

WISHING YOU MERRY CHRISTMAS & A GLORIOUS NEW YEAR IN ADVANCE.

MY ANSWERS

1. A mantissa

2. X= -1

3. x= 0.5 or ½

4. d= 6

Compliments of the season

TEMITOLU:

MODULE 1 TEST 5

(1) The decimal part of the logarithm of a number is called ........................

(2) Solve the exponential equation: 3^(x - 3) = 9^2x

(3) If log (2x + 4) - log (3x - 1) = 1, find x.
[NOTE: The logarithm is in base 10.]

(4) The third term of an Arithmetic Progression (A.P) is 16 and its sixth term is 34. Find the common difference.

NOTE: All answers should be posted before or on Saturday 31st December, 2016.

BEST OF LUCK!!!

WISHING YOU MERRY CHRISTMAS & A GLORIOUS NEW YEAR IN ADVANCE.

1)Mantissa.
2)3^(x-3)=9^2x
=3(x-3)=3^4x
=(x-3)=4x
=x-4x=3
x=-1.
3)x=0.5 or1/2.
4) an=a(1)+(n-1)d
d=6.

MY ANSWERS

1. A mantissa

2. X= -1

3. x= 5

4. d= 6

1)Mantissa.
2)3^(x-3)=9^2x
=3(x-3)=3^4x
=(x-3)=4x
=x-4x=3
x=-1.
3)x=0.5 or1/2.
4) an=a(1)+(n-1)d
d=6.

@Ayox1: Your attempt is noted. Let's just wait till the end of the week when the overall winner and the first runner-up will be announced. Please, stay connected.

Olutayojr:


MY ANSWERS

1. A mantissa

2. X= -1

3. x= 0.5 or ½

4. d= 6

Compliments of the season

@Olutayojr: Your attempt is noted. Let's just wait till the end of the week when the overall winner and the first runner-up will be announced. Please, stay connected.

PatEinstEin:

Answers

1) Mantissa

2) x = -1

3) x = 1/2 or 0.5

4) d = 6

@PatEinstEin: Your attempt is noted. Let's just wait till the end of the week when the overall winner and the first runner-up will be announced. Please, stay connected.

iyoha240:
MY ANSWERS

1. A mantissa

2. X= -1

3. x= 5

4. d= 6

@Iyoha: Your attempt is noted. Let's just wait till the end of the week when the overall winner and the first runner-up will be announced. Please, stay connected.

(1). Mantissa
.


(2). 3^(x-3) = 9^2x
3^(x-3) = 3^2(2x)
3^(x-3) = 3^4x
since base is equal equate the power
x-3=4x
4x-x=-3
3x=-3
divide both side by 3(coefficient of x)
3x/3 = -3/3
x= -1
.

(3) log base10(2x+4) - log base10(3x-1)=1
from logarithim rule 2
log base a (M/N)= log base a M -log base a N
.
hence
log base10 (2x+4/ 3x-1) = log base10 10
2x+4 / 3x-1 =10
cross multiply
2x+4= 10(3x-1)
2x+4=30x-10
30x-2x=4+10
28x=14
divide both side by 28(coefficient of x)
28x/28= 14/28
x =1/2 or 0.5
.

(4). Un=a+(n-1)d
a=first term n= number of term d=common difference
for the third term n=3
U3=a+(3-1)d=16
a+2d=16 -------eq(1)
for the sixth term n=6
U6=a+(6-1)d=34
a+5d=34---------eq(2)
solving (1) and (2) simultaneously using elimination method
a+2d=16-----------eq(1)
a+5d=34-----------eq(2)
________ ___
-3d= -18
divide both side by -3(coefficient d d)
_ -3d/-3=-18/-3
common difference d=6

COMMENTS ON THE LAST QUIZ (MODULE 1 TEST 5)

The following participants - PatEinstEin, Olutayojr, Ayox1 and Kolad got 100% respectively in the last quiz while Iyoha got 75%. Thus, award/incentive will be given to PatEinstEin, Olutayojr, Ayox1 and Kolad.

That said, only Kolad showed proper working steps on how he arrived at the answers to the quiz questions. The rest of you did not.

NOTE:
It is very necessary to show the working steps on how you arrive at the answer(s) to each of the quiz questions. though these must be short and concise.

From my own judgement, the Overall Winner Of The Quiz (Module 1 Test 5) is conferred to Kolad. I hope you all know why.

@PatEinstEin, Olutayojr, Ayox1 and Kolad: Kindly send me via e-mail the type of network you use (GLO/MTN/ETISALAT/AIRTEL).

Wishing you all a glorious, prosperous new year in advance.

Bro what is your email name

@Ayox1, how will we go about it

Sir, am unable to send you email

TEMITOLU:
COMMENTS ON THE LAST QUIZ (MODULE 1 TEST 5)

The following participants - PatEinstEin, Olutayojr, Ayox1 and Kolad got 100% respectively in the last quiz while Iyoha got 75%. Thus, award/incentive will be given to PatEinstEin, Olutayojr, Ayox1 and Kolad.

That said, only Kolad showed proper working steps on how he arrived at the answers to the quiz questions. The rest of you did not.

NOTE:
It is very necessary to show the working steps on how you arrive at the answer(s) to each of the quiz questions. though these must be short and concise.

From my own judgement, the Overall Winner Of The Quiz (Module 1 Test 5) is conferred to Kolad. I hope you all know why.

@PatEinstEin, Olutayojr, Ayox1 and Kolad: Kindly send me via e-mail the type of network you use (GLO/MTN/ETISALAT/AIRTEL).

Wishing you all a glorious, prosperous new year in advance.

airtel card, cos am unable to send you email message

kolad59:
@Ayox1, how will we go about it

send email message to him through nairaland.(since you don't know his personal e-mail address).

TEMITOLU:
COMMENTS ON THE LAST QUIZ (MODULE 1 TEST 5)

The following participants - PatEinstEin, Olutayojr, Ayox1 and Kolad got 100% respectively in the last quiz while Iyoha got 75%. Thus, award/incentive will be given to PatEinstEin, Olutayojr, Ayox1 and Kolad.

That said, only Kolad showed proper working steps on how he arrived at the answers to the quiz questions. The rest of you did not.

NOTE:
It is very necessary to show the working steps on how you arrive at the answer(s) to each of the quiz questions. though these must be short and concise.

From my own judgement, the Overall Winner Of The Quiz (Module 1 Test 5) is conferred to Kolad. I hope you all know why.

@PatEinstEin, Olutayojr, Ayox1 and Kolad: Kindly send me via e-mail the type of network you use (GLO/MTN/ETISALAT/AIRTEL).

Wishing you all a glorious, prosperous new year in advance.

MTN. Thank you.