Math Olympiad for Class 5 – Problem Solving Approach
Class 5 is considered to be middle school where students are well aware of their abilities. They must be treated as grown-ups now, and should be exposed to extra-curricular competitions. This exposure in the form of Olympiad exams help them to prepare for their school academics as well. The syllabus for these exams is the same as prescribed by school. Teachers recommend the use of workbooks by Indian Talent Olympiad, as it has variety of practice questions.
Olympiad exams are the exams taken in the schools for improving the students’ skills on a particular level. Through Olympiad exams, students can quickly analyze their strengths and weaknesses by performing in different examinations levels. No matter if the student is of grade 1 or grade 12, he/she is entitled to give the Olympiad exams. A student will improve their skills in various subjects like computer technology, mathematics, English, Science etc. In Olympiad exams, A student gets selected based on their reasoning and logical abilities.
They are perfect to test a students’ conceptual understanding of the subject.
Improves the students’ problem solving ability and challenges them to think analytically.
Prepares them for future competitive exams by testing a student’s aptitude as well as the knowledge of a particular subject.
Provides exposure to students at the national as well as international platforms.
Instills the quality of hard work in the students by pushing them to prepare hard for the exam and improve their result.
Students’ performance in school is also improved as Olympiads sharpen their thinking and learning process which helps them to grasp the concepts taught in schools better.
Syllabus Covered
- Number System
- Roman Number
- Factor & Multiple
- Fraction & Decimals
- Arithmetic
- Geometry
- Mensuration
- Measurement
- Data Handling
- Mental Ability
Number System
Greatest five-digit number that can be formed using 7, 9, 0, 5, 2 is ________.
79052
90752
97520
97052
In the number 43256 the digit 3 stands for
3 Hundreds
3 ten-thousands
3 thousands
3 tens
The successor of a given number is obtained by adding ____________ to the given number.
1
2
3
4
Smallest six-digit number that can be formed using 9, 2, 6, 0, 3, 1 is ________.
012369
102369
106239
103269
In a sum, the divisor is 173, the quotient 2,544 and the remainder is 60. what is the dividend?
12924
440172
152813
172544
Kavitha wrote four phone numbers in her diary but forgot to write the name of the respective persons. She could only remember that her friend’s phone number had 8 in the thousand’s place. Then, her friend’s number is
469821
829842
578242
982431
Difference between the place value and face value of 9 in the number 1297625 is
9
9991
89991
90001
The price of a bike is ₹192000 when rounded off to nearest 1000. Which of the following could be the exact price of the bike?
191400
191499
192499
192505
Standard form of 8000000 + 9000 + 400000 + 800 + 6
8409806
467842
846789
478424
Smallest whole and natural number are respectively ________.
1,2
0,1
2,1
10,9
What should come in place of question mark (?)
10 million (?) 1 crore.
<
>
≤
=
The difference between the successor and predecessor of 10000 is
2
1
0
-1
The population of a village is 1500. if 489 are men 472 are women, find the number of children.
549
439
559
539
How many thousands make a lakh?
100 thousands
10 thousands
1 thousand
Zero
How many thousands make a million?
100
10
1000
10000
Find the difference between the greatest and the least numbers that can be written using the digits 4,9,8,7,5 each used only once.
52965
34246
52956
72484
Choose the statement which is correct from the following given statements.
99999999 is the successor of 100000000
The difference between the successor and predecessor of a number is 2
‘0’ is the smallest one-digit number
Face value and place value of a number are always same
A college students union held a raffle to raise money for a musical concert. Amith drew ticket number 392704, Samantha drew ticket number 396491, Bharathi drew ticket number 392677 and Kavitha drew ticket number 396449. Whose ticket had the largest number?
Kavitha
Samantha
Amith
Bharathi
On comparing the numbers, the signs that will come in the given boxes are
99999 100000
9909409 9990409
30100100 30100099
I II III
> < =
< < >
= > >
> > <
73,52,39,621 has ________ crores.
73
52
39
5
Operations on Numbers
From the following number 277, 316, 479, 582
Choose the correct option that fill in the blanks to complete the following operation.
______ - ______ = 305
479, 277
582, 277
582, 316
479, 316
Find the sum: -
(2+4+6+8+10+12+14+16+18+20) + (3+6+9+12+15+18+24+27+30)
275
375
265
367
The value of 48 + 24 ÷ 2 of 4 x 5 – 4 is
48.5
716
59
159
Simplify: 50 – 42 ÷ 3 of 7 -(20 + 5) ÷ 5 x 2
38
42
36
72
The unit digit of 1 x 6 x 66 x 666 x 555 x 5 x 999 is
1
0
4
5
Sindhu can type 28 words per minute. At this rate, how many words can Sindhu type in 5½ minutes?
154
156
159
162
Raghu earns ₹1840 in a week. How much money will he earn in 3 months 3 weeks, if every month has 4 weeks?
₹12200
₹27000
₹19900
₹27600
2961 sweets were given to the children in an orphanage. Each child received 3 sweets. How many children were there?
8883
987
2964
2958
Which number, when placed in the box makes the following numbers sentence true?
18 – 6 x 2 + 21 ÷ 3 = ______
9
12
13
15
In a city, age of 34768 people is below 20, age of 57498 people is between 20 and 30 and age of remaining people is above 30. If the total population of the village is 100000, then the number of people who are above 30 is,
92266
42502
65232
7734
Which of the following expression is equal to 83x5?
8 x (3 + 5)
5 x (8 + 3)
5 x (80 + 3)
80x (3+5)
A balloon seller sold 236 red balloons, 23 white, and 749 blue balloons. How many balloons were sold in all?
186
654
1,005
1,008
In a School, there are 704 desks to place into 22 classrooms. if the same number of desks is placed in each classroom, how many desks will be in each room?
32
34
42
44
There are 15 rows of mango trees in a farm. Each row has 325 trees. Trees of 6 rows are cut down. The total number of remaining mango trees in the park is
2925
4875
1950
None of these
A number in the form ‘PQRSPQRS’ when divided by PQRS gives
11
1001
10001
Cannot be determined
A car route is 9km long. The car goes through the route 2 times each day. How many kilometres will the car drive in 5 days?
100km
50km
10km
90km
A football teams sold 215 youth tickets for ₹4 each and 467 adult tickets for ₹9 each. which expression can be used to find how much more money the football team made on adult tickets than on youth ticket?
(215x4) – (467x9)
(215x9) – (467x4)
(467x9) – (215x4)
(467x9) – (215x9)
A visitor at the Rajasthan Culture Centre can hear beautiful music played on bells. the music is played on 1 high-note bell and 3 sets of 32 bells. Which of the following expression should be used to find the total number of bells?
1 + 3 + 32
1 x 3 + 32
1 x 3 x 32
1 + 3 x 32
If A, B and C are natural numbers and A=76240 and B=3245. If the sum of A and B is equal to the difference of C and B, then the possible value of C is
82730
72995
79485
Cannot be determined
Sophie caught twice as many fishes as her dad. If her dad caught F fishes. How many fishes did Sophie catch?
F + 2
F - 2
F x 2
F ÷ 2
Roman Number
In Roman numerals, there are only………… basic symbols.
a.7
b.8
c.9
d.10
Roman numeral for the smallest three-digit number is
a.X
b.C
c.M
d.D
Which of the following numerals cannot be repeated?
a.V
b.L
c.D
d.All of these
VIII + XII + L = ?
a.70
b.80
c.68
d.78
In the Roman numeral, I can be subtracted from:
a.V and X
b.M only
c.V only
d.None of these
IX + XV + XX = _____.
a.45
b.35
c.44
d.76
CCC - CXX =?
a.LLLXXX
b.CLXXX
c.LXXXCD
d.CCXXC
Which of the following statements is CORRECT?
a.Symbol V, L, D cannot be repeated.
b.symbol I, X, C, M can be repeated only two times.
c.Symbol I cannot be subtracted only from V and X.
d.I cannot be added to V and X.
Which of the following is NOT correctly matched?
a.LX = 60
b.XL = 40
c.VVL = 40
d.LXI = 63
MCLIX is equal to
a.1059
b.1159
c.1059
d.115110
Compare
XXXV________XXXIX
a.=
b.>
c.≥
d.<
How many match sticks are needed to make the Roman numerals equivalent to 33?
a.6
b.7
c.9
d.10
Match the following columns and choose the correct option.
Column A Column B
V + V 6
XXXIV – XXVIII 9
LI – XL 10
XCIX – XC 11
I II III IV
a.i ii iii iv
b.iii i iv ii
c.iv iii i ii
d.iii i ii iv
The smallest correctly formed roman number using each numeral once from the roman numerals I, V, X, L, C, D and M is
a.MDCLXVI
b.MCDXLIV
c.MCDXLVI
d.Cannot be determined
Roman numeral for 258 is ________.
a.CVXLXV
b.CDXIV
c.CCLVIII
d.CLVCXIII
A cricket stadium manager counted the number of matches held in each month
Matches held
Months Number of matches
March XCVI
April LXXXV
May XCIX
June XCV
In which month the stadium had the lowest number of matches?
a.March
b.April
c.May
d.June
Factor and Multiple
Fractions
Decimals
A cricket pitch is about 364 cm. In meters it is equal to
36.4 m
3.64 m
0.364 m
0.0364 m
What is the missing value in the given mathematical statement?
0.54 x 15 = 0.54 x 5 + 0.54 x 3 + 0.54 x _____?
7
6
5
1
Which of the following expressions is true?
1.3749 < 1.0399
1.7908 < 1.879
1.526 < 1.2605
1.463 < 1.3902
What is 13.73 rounded to the nearest tenth?
13.0
13.7
13.8
14.0
I think of a decimal number. After I have multiplied it by 8, then added 1.2 to it and then I have subtracted 4.7 from it, I get 3.4. What is the decimal number?
0.8625
8625
0.8652
8.625
Find the product of 5 and the difference between 328 tenths and 4587 thousandths. Round off your answer to 1 decimal place.
141.1
140.2
146.9
139.2
In 636250, the place value of 6 at the thousands place is ________ times the place value of 6 at the lakhs place.
1/100
1/1000
6
100
Harry distributed 236kg of wheat into 16 people equally. Then the quantity of wheat each people will get
25.63kg
16.75kg
17.85kg
14.75kg
The value of 0.25 ÷ 0.0025 × 0.025 of 2.5 is
0.65
6.25
62.5
625
Look at the number line and choose the right option.
A+B=?
1.1
7.5
7.8
9.6
