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6th Mathematics Model Exam -2

St. Britto Hr. Sec. School - Madurai

6th Mathematics Model Exam -2-Aug 2020

Time : 2.30 Hours

Part - A

Multiple Choice Question - Answer All Question

The number which on rounding off to the nearest thousand gives 11000 is

10345
10855
11799
10056

If two sides of a triangle are 5 cm and 9 cm, then the third side is ______________

5 cm
3 cm
4 cm
14 cm

If the number 6354 * 97 is divisible by 9, then the value * is

2
4
6
7

Variable means that it

can take only a few values
has a fixed value
can take different values
can take only 8 values

The product of a non-zero whole number and its successor is always

an even number
an odd number
zero
none of these

The angles of a right angled triangle are

acute, acute, obtuse
acute, right, right
right, obtuse, acute
acute, acute, right

The expanded form of the number 6,70,905 is

6 \(\times\) 10000 + 7 \(\times\) 1000 + 9 \(\times\) 100 + 5 \(\times\) 1
6 \(\times\) 10000 + 7 \(\times\) 1000 + 0 \(\times\) 100 + 9 \(\times\) 100 + 0 \(\times\) 10 + 5 \(\times\) 1
6 \(\times\) 1000000 + 7 \(\times\) 10000 + 0 \(\times\) 1000 + 9 \(\times\) 100 + 0 \(\times\) 10 + 5 \(\times\) 1
6 \(\times\) 100000 + 7 \(\times\) 10000 + 0 \(\times\) 1000 + 9 \(\times\) 100 + 0 \(\times\) 10 + 5 \(\times\) 1

The difference between 6th term and 5th term in the Fibonacci sequence is

6
8
5
3

(53 + 49) \(\times\) 0 is

102
0
1
53 + 49 \(\times\)0

The only even prime number is

4
6
2
0

The spaces between any two bars in a bar graph___________.

can be different
are the same
are not the same
all of these

Use BODMAS and put the correct operator in the box. 2 \(\Box\) 6 - 12 \(\div \) (4 + 2) = 10

+
-
\(\times\)
\(\div \)

The number 9785764 is rounded off to the nearest lakh as

9800000
9786000
9795600
9795000

The ratio of Rs1 to 20 paise is __________.

1: 5
1: 2
2: 1
5: 1

The prime factorisation of 60 is 2 \(\times\) 2 \(\times\) 3 \(\times\) 5. Any other number which has the same prime factorisation as 60 is

30
120
90
impossible

Which is not an equivalent ratio of \({16\over 24}\) ?

\(6\over 9\)
\(12\over 18\)
\(10\over 15\)
\(20\over 28\)

Which of the following ratios are in proportion?

3 : 5 , 6 : 11
2 : 3, 9 : 6
2 : 5, 10 : 25
3 : 1, 1 : 3

If 8 oranges cost Rs 56, then the cost of 5 oranges is Rs ___________.

42
48
35
24

The successor of 10 million is

1000001
10000001
9999999
100001

The value of 24 \(\div \) {8-(3\(\times\)2)} is

0
12
3
4

Part - B

Generic 2 - Answer All Question

Given 'n' students like ice cream. What may 2n show?
In an apartment consisting of 108 floors, two lifts A & B starting from the ground floor, stop at every 3^rd and 5^th floors respectively. On which floors, will both of them stop together?

Express 31 and 55 as the sum of any three odd primes.

Find the dates of any month in a calendar which are divisible by both 2 and 3.

Joseph has a flower garden, Draw a picture which shows that \(\frac { 2 }{ 10 } \) th of the flowers are red and the rest of them are yellow.

Complete the table and by inspection of the table find the value of m when m +10 = 16.

m 1 2 3 4 5 6 7 8 9 10

m+10 - - - - - - - - - -

A car covers a distance of 125 km in 5 kg of LP Gas. How much distance will it cover in 3 kg of LP Gas?

Explain your answer with reason for the following statements
A number is divisible by 6, if it is divisible by 12.

Find the numbers between 572634 and 562634 which is approximated to ten thousands place

The number lock has the password number with 3 digits. The number is least even number and less than 200. Middle digit has no value separately. Find the password. The digits are used only once.

Complete the following pattern.
9-1=
98-21=
987-321=
9876-4321=
98765-54321=
What comes next?

Part - C

Generic 3 - Answer All Question

Estimate by rounding off each number to the nearest hundred. 1768977 + 130589
Use the properties of whole numbers and simplify. 50 \(\times\) 102

Use the properties of whole numbers and simplify. 500 \(\times\) 689 - 500 \(\times\) 89

Convert into a Tree diagram [(9−4)\(\times\)8] + [(8+2)\(\times\)3]

Write the mean and extreme terms in the following ratios and check whether they are in proportion.
(i) 78 litres is to 130 litre and 12 bottles is to 20 bottles
(ii) 400 gm is to 50 gm and 25 rupees is to 625 rupees

Use the properties of whole numbers and simplify. 4 \(\times\) 132 \(\times\) 25

Write the number names of the following numerals in the Indian System. 75,32,105

The maximum speed of some of the animals are given below :
the Elephant=20 km/h; the Lion=80 km/h; the Cheetah=100 km/h Find the following ratios of their speeds in simplified form and find which ratio is the least?.
(i) the Elephant and the Lion
(ii) the Lion and the Cheetah
(iii) the Elephant and the Cheetah

Can a triangle be formed with 8 cm, 3 cm and 4 cm as its sides?

Athiyan and Mugilan are brothers. Athiyan is ‘p’ years old and Mugilan is elder to Athiyan by 6 years. Write an algebraic statement for this and find the age of Mugilan if Athiyan is 20 years old.

If Rs 10,00,000 was distributed in a Government scheme to 500 women in the Self Help Groups, then find the amount given to each woman.

Part - D

Generic 5 - Answer All Question

Read and expand the number 50000, 676097
Consider the Postal Index Number (PIN) written on the letters as follows:604506; 604516; 604560; 604506; 604516; 604516; 604560; 604516; 604505; 604470; 604515; 604520; 604303; 604509; 604470. How the letters can be sorted as per Postal Index Numbers?

The following list tells colours liked by 25 students. Prepare a table using Tally Marks.

Red Blue White Grey White

Green Grey Blue Green Grey

Blue Grey Red Green Red

Blue Blue Green Blue Green

Grey Grey Green Grey Red

A piece of wire is ‘12s’ cm long. What will be the length of the side, if it is formed as
(i) an equilateral triangle
(ii) a square?

Construct a line perpendicular to the given line at a point on the line.

Find the HCF of the numbers 18, 24 and 30 by factor tree method.

The heights (in metres) of the mountains in Tamil Nadu are as follows:

SI.No Mountains Height (in metres)

1 Doddabetta 2637

2 Mahendragiri 1647

3 Anaimudi 2695

4 Velliangiri 1778

(i) Which is the highest mountain listed above?
(ii) Order the mountains from the highest to the lowest.
(iii) What is the difference between the heights of the mountains Anaimudi and Mahendragiri?

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