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A student took five papers in an examination, where the full marks were the same for each paper. His marks in these papers were in the proportion of 6:7:8:9:10. In all papers together, the candidate obtained 60$\%$ of the total marks. Then the papers in which he got more than 50$\%$ marks is:

Write the smallest 4 digit number and express it in terms of prime factors .

If the sum of interior angles of a polygon is 16 right angles, then it has ___ sides.

Question 2(b):

Write the names of seven angles
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Question 28
The number of distinct prime factors of the smallest 5-digit number is

(A) 2
(B) 4
(C) 6
(D) 8

Your school is it upon 10 km away from her house Daily she walks the distance and then take a bus to travel one upon 2 km to reach the school how far does she work done

John works in an office and his income is Rs 1500 per month. If he saves Rs 120 per month, then find the ratio of his income to savings.

What number should be added to each of the numbers 8, 21, 13 and 31 so that the resulting numbers, in this order form a proportion

“Line AB perpendicular to line PQ” is denoted by

If A = {letters in the word BOOK} and B ={a, e, i }, then A and B are _________.

Which of the following pair of numbers is co-prime?

A man's salary increased by 10% and then again by 10%. Due to corrections made by the company, his salary was decreased by 20% . By what percent did his salary increase or decrease overall?

Fill in the blanks:-

i)Number of factors of a given number is _____________

ii)Every multiple of a positive number is ____________ that number.

iii)Number of multiples of a given number is __________

iv)Every number is a multiple of ______________

Question 3

Match the items in column 1 with the items in column 2:
$\begin{array}{cccc}& \text{Column 1}& & \text{Column 2}\\ \left(i\right)& 35& \left(a\right)& \text{Multiple of 8}\\ \left(ii\right)& 15& \left(b\right)& \text{Multiple of 7}\\ \left(iii\right)& 16& \left(c\right)& \text{Multiple of 70}\\ \left(iv\right)& 20& \left(d\right)& \text{Factor of 30}\\ \left(v\right)& 25& \left(e\right)& \text{Factor of 50}\\ & & \left(f\right)& \text{Factor of 20}\end{array}$

Estimate(to the nearest thousand's place): 16797 - 4256

On the way, Jack was thinking that he can’t go to $2015$ because it is future to him now. If he tries to go to future, he will end up in past again. But what went wrong?

Though Jack is a great mathematician, he can’t remember about each and every part of the machine. So, he took out the data sheet to know which part was the most important. There was a chart which gave the priority of different devices. Which device is the most important?

$\begin{array}{cc}\text{Device}& \text{More numbers stars = High priority}\\ \text{Time Direction Module}& ★★★★★\\ \text{Batteries}& ★★★\\ \text{AYC(Analog Year counter)}& ★\\ \text{Toolbox}& ★★\end{array}$

Amir bought a piano for ₹ 60,000 and sold it for ₹ 72000. Find the profit.

Find the value of (m + n) from the following figure.

Read the given table:

Which cities have equal minimum temperature?

There are four figures shown below. Identify the symmetrical ones.

Ethan is given the responsibility for buying a week's supply of food and medication for the dogs and cats at a local shelter. The food and medication for each dog cost twice as much as those supplies for a cat. He needs to feed 164 cats and 24 dogs. Her budget is Rs. 4240. How much can Ethan spend on each dog for food and medication?
[4 MARKS]

The number of significant figures in 0.04 are:

Sum of 5 succesive odd natural numbers beginning from 1 would be _______.

Question: 4

Which of the following is an equation ?

(a) x + 1

(b) x - 1

(c) x - 1 = 0

(d) x + 1 > 0

Question 14.
The mixed fraction 5$\frac{4}{7}$ can be expressed as
(a) $\frac{33}{7}$
(b) $\frac{39}{7}$
(c) $\frac{33}{4}$
(d) $\frac{39}{4}$

If the length of a line segment is 8.7 cm then the length of line segment twice of it is:

Question 51

State whether the statements are true or false:

With a given centre and a given radius, only one circle can be drawn.

A lift descends into an underground floor at the rate of 6 metres per minute. If the descent starts from 10 metres above the ground level, how much time will it take to descend 350 metres underground?

Question 28.

State True/False

Since 5 > 3, therefore -5 > -3.

If a number is divisible by two co-prime numbers, then it is also divisible by their

$(-10)-(+10)+(+10)+(-10)-(-10)=$ ___.

Rohit worked for 2 weeks and made Rs.26700 from the first week and Rs.32800 from the second week. His deductions were Rs. 3900. Shikhar worked at the same place for 2 weeks and made 27300 from the first week and Rs. 31600 from the second week. His deductions were Rs.4100. What is the difference in their pay cheques?

Find the greatest number that divides each of 150, 320 and 596 completely.

The total weight of 9 cartons is 37.8 kg. Find the weight of one carton.

Question 82 (ii)

Subtract

$6x^2-4xy+5y^{2}from8y^2+6xy-3x^2$

1. 12

Madhavi eats one full bar of chocolate. Then she divides another one into 5 equal parts and eats 3 of them. What is the fraction of chocolate that has been eaten by Madhavi?

Simplify and match the fraction with it's simplest form.

Which of the following figures are regular polygons?

Question 4(a)

Can you draw a triangle which has exactly one line of symmetry? Sketch a rough figure.

Convert $\frac{9}{18}$ to its simplest form

If the original size of an image is $540\times 680$, which of the following image sizes cannot be achieved to ensure there is no deformation in the picture?

Estimate the product of 766 $\times$ 248 by rounding off each factor to its greatest place.

If one angle of a right angled triangle measures ${25}^{\circ },$ then find the measure of the other acute angle.

Find the value of $x$ in the equation: $30x=90$

Which of the following fractions is not in its lowest form?

"9k + 1" is same as: