Free Level 2 & Achievers Olympiad Questions for Class 6
5 questions to build confidence. Choose an answer, then explore the explanation.
01
In a school there are 150 students. Out of which 1/3 are girls. There are 45 teachers and out of which 1/5 are male teachers. What is the ratio of number of boys to number of female teachers.
Show answer & explanation
Answer: D. 25/9
Total students 150.
So number of girls 1/3×150 =50 girls
Number of boys =150-50=100.
Total teachers =45
Number of male teachers = 1/5×45=9 male teachers
Number of female teachers = 45 -9 = 36
So ratio of boys : female teachers = 100/36 = 50/ 18= 25/9
02
Match the correct equations:
A) A number divided by 5 and subtracted from 10 gives 30.
B) Sum of 2/3 and a number is multiplied by 1/4 is 20 .
Show answer & explanation
Answer: C. A) 10-x/5=30 B) 1/6+ 1/4x =20
A) A number divided by 5 and subtracted from 10 gives 30 => 10-x/5=30
B) Sum of 2/3 and a number is multiplied by 1/4 is 20=> 1/4(2/3+x)=20
2/12 +1/4x=20
1/6+1/4x=20
03
There 460 cows, buffaloes and goats on the farm.
All 136 goats are shifted from this farm to another. Now the ratio of cows to buffaloes is 2:1 , then how many cows and buffaloes are there on farm?
Show answer & explanation
Answer: C. Cows:216, Buffaloes:108
Cows +buffaloes+goats =460
Cow + buffaloes +136=460
Cow + buffaloes =460-136= 324
Total parts in ratio is 2+1=3
Cows = 2/3×324= 216
Buffaloes = 1/3×324= 108
04
For every correct answer Mahi gets 2 marks and for every wrong answer 0.75 marks are deducted.
There are 60 questions in all.
If Mahi attempts 3/4 of questions correctly,then what will be her final score?
Show answer & explanation
Answer: B. 78.75 marks
Total questions 60.
3/4 are correct answers = 3/4×60= 45 questions are correct
So she got =45×2=90.
But then 15 questions are wrong.
So 15×0.75= 11.25 marks she lost.
So her final score = 90- 11.25 = 78.75 marks
05
Dharmesh is 12 years old. 5 years ago, Nitin was 3x times older than Dharmesh. What will be sum of their ages after 10 years from now?
Show answer & explanation
Answer: A. 21x + 37 years
Present age of Dharmesh is 12 years.
5 years ago
Dharmesh =12-5=7 years
Nitin = 3x ×7=21x
Present age of Nitin = 21x +5
10 years after from now
Dharmesh = 12 +10=22
Nitin = 21x +5+10=21x+15
Total sum = 22+21x+15= 21x +37
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