CLASS 7 MATHS ALL IMP QUESTIONS FOR ANNUAL EXAM 2023

             CLASS 7 MATHS ALL IMP QUESTIONS FOR 

                            ANNUAL  EXAM  2023                                          

1. Insert a number between

14 and 17 . $${\displaystyle \frac{\mathrm{<br>}}{}}$$

Ans. To insert a number between two numbers, first we add both numbers and divide the sum by two.

14+172=7+4282${\displaystyle \frac{{\displaystyle \frac{1}{4}}+{\displaystyle \frac{1}{7}}}{2}}={\displaystyle \frac{{\displaystyle \frac{7+4}{28}}}{2}}$

=112×28=1156$={\displaystyle \frac{11}{2\times 28}}={\displaystyle \frac{11}{56}}$

2. Give the formula to find mean.

Ans. Formula to find mean is given by, 

 Mean = Sum of all observations  Number of observations $\text{ Mean }={\displaystyle \frac{\text{ Sum of all observations }}{\text{ Number of observations }}}$

Example: Mean of

2,4,6,8,10$$2,4,6,8,10$$

= 2+4+6+8+105=305=6${\displaystyle \frac{2+4+6+8+10}{5}}={\displaystyle \frac{30}{5}}=6$

3. Define Mode. 

Ans. The most frequently occurring value in a data set Is called Mode.

For example, in set

2,3,4,5,5,5,7,7$$2,3,4,5,5,5,7,7$$

5$5$ occurs 3$3$ times. Hence 5$5$ will be the mode of the given data. 

4. Define Average.

Ans. In mathematics, an average is referred to as a mean. It may be obtained by adding the numbers together and then dividing the result by the total number of numbers.

Example average of

8,10$$8,10$$

= 8+102=182=9${\displaystyle \frac{8+10}{2}}={\displaystyle \frac{18}{2}}=9$

5. Insert a number between

−3 and−4 .

2 Mark Questions

6. Find the mode for the given set of data :

1, 2, 3, 5, 6, 7, 2, 1, 4, 1, 6, 1$$\mathrm{<br>}$$

7. Find the median of the data

1, 2, 23, 48, 26, 33, 4$$\mathrm{<br>}$$

8. Theja studies 8 hours, 6 hours and 2 hours on three consecutive days. How many hours did he study daily? 

Ans.  Given, Theja studied 

8 hours, 6 hours and 2 hours$$\mathrm{<br>}$$

9. Answer the following by observing the given data
The age’s of cricket players of ICC is as follows:

21, 23, 25, 26, 32, 34

a) What is the age of the eldest players?

b) What is the age of the youngest players in the team?

Ans.  Given data is

21, 23, 25, 26, 32, 34$$\mathrm{<br>}$$

10. The goals scored by Lakshya in five matches are 3, 1, 2, 3, 1. Find the mean goal scored by her. 

11. Find the range of heights of cricket players (in cm) the heights are follows

158, 150, 156, 162, 155, 152, 154, 164, 153, 165, 160$$\mathrm{<br>}$$

12. Runs scored by a cricket player is in few matches is as follows:

28, 25, 38, 46, 58, 32$$\mathrm{<br>}$$

. Find the average runs. 

13. Kids borrow books from a library from Monday to Friday. A week value is recorded and is as follows. Find the average

65, 148, 351, 481, 390.$$\mathrm{<br>}$$

14. The score of 10 kids in mathematics shows below. Find mean

33,48,27,49,30,32,19,25,37,35

15.If the averages of the given data 6, 10, 12, x, 16 is 14, find the value of x.

16.Find the mean of the first 5 multiples of 3.

17.The following bar graph shows the number of books sold by a publisher during the five consecutive years. Read the bar graph and answer the following questions:

(i) About how many books were sold in 2008, 2009 and 2012 years?
(ii) In which years were 575 books were sold?
(iii) In which years were the minimum number of books sold?

18.The marks obtained (out of 10) by 80 students in a class test are given below:

CHAPTER 6

Question 1.In ∆ABC, write the following:

(a) Angle opposite to side BC.
(b) The side opposite to ∠ABC.
(c) Vertex opposite to side AC.

Question 2.

Classify the following triangle on the bases of sides

Question 3

In the given diagrams, find the value of x in each case

Question 4.

Which of the following cannot be the sides of a triangle?
(i) 4.5 cm, 3.5 cm, 6.4 cm
(ii) 2.5 cm, 3.5 cm, 6.0 cm
(iii) 2.5 cm, 4.2 cm, 8 cm

Question 5.

In the given figure, find x

Question 6.
Find whether the following triplets are Pythagorean or not?
(a) (5, 8, 17)
(b) (8, 15, 17)

Question 7.
In the given right-angled triangle ABC, ∠B = 90°. Find the value of x.

Question 8 .
A plane flies 320 km due west and then 240 km due north. Find the shortest distance covered by the plane to reach its original position.

 Chapter 8 – Comparing Quantities

1. Find the ratio of

600g$$600\text{g}$$

to 5kg$5\text{kg}$.

2. Write 25as percent.

3. Convert 0.25$\mathrm{<br>}$ to percent.

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4. Find 100%−55%=$\mathrm{<br>}$

$$<br>$$

5. Find 25%$\mathrm{<br>}$ of 150$\mathrm{<br>}$

Short Answer Questions (2 Marks)

6. In a class of 45$\mathrm{<br>}$ students 40%$\mathrm{<br>}$ are girls. Find the no. of boys. 

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7. Find the ratio of
a. 18m $\mathrm{<br>}$ to 45cm$\mathrm{<br>}$

b. 20days to 48$\mathrm{<br>}$ hours

8. In a city, 35%$\mathrm{<br>}$ of population are males and 25%$\mathrm{<br>}$ are females and the remaining are children. What is the percentage of children in the city? 

$<br>$

9. Find: 

a. 80%of2kg's$\mathrm{<br>}$

b. 25%of3000$\mathrm{<br>}$

$$

b. 25%of3000$\mathrm{<br>}$

$$

10. Convert given percent to decimal fractions and also to fractions in simplest form 

a. 10%$\mathrm{<br>}$

b. 40%$\mathrm{<br>}$

11. Mithali buys a TV at 12,000and sells it at a profit of 20%How much money does she get?

                                          

12. Find

a. 1212% of75$\mathrm{<br>}$

b. 30% of 150$\mathrm{<br>}$

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13. Find the whole quantity if

a. 10%$\mathrm{<br>}$ of it is 800$\mathrm{<br>}$

b. 15%$\mathrm{<br>}$ of it is 1050$\mathrm{<br>}$

b. 15%$\mathrm{<br>}$ of it is 1050$\mathrm{<br>}$

$14. Manvita savesRs. 9000 from her salary every month. If it is 5%Of her salary .find her salary.$

15. convert the following fractions to percent. 

a. 34${\displaystyle \frac{3}{4}}$

b. 25${\displaystyle \frac{2}{5}}$

Long Answer Questions (3 Marks)

16. Convert the following into percent 

a. 3450${\displaystyle \frac{34}{50}}$

b. 14${\displaystyle \frac{1}{4}}$

c. 0.03$0.03$

17. Out of

24,000$$\mathrm{<br>}$$

voters in a constituency

48%$$\mathrm{<br>}$$

voted. Find the no. of voters who did not vote. 

18. If

Rs. 500

has to be divided among Mishala, Manvita and Meera in the ratio

1 : 3 : 6$$\mathrm{<br>}$$

. Then how much money will each get and what will be the percentages. 

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19.Find the amount to be paid at the end of 4$4$ years at each case 

a. Principal =

Rs. 1500 at 8%$$\text{<br>}$$

PA

b. Principal =

Rs. 7500 at 5%$$\text{<br>}$$

PA

Construct a ΔPQR in which m∠P = 60° and m∠Q = 30°, QR = 4.8 cm.

20. What rate gives an interest of

Rs. 540

on a sum of

Rs. 18000$$\text{<br>}$$

in

3 years$$\mathrm{<span\; style="font-family:\; Roboto,\; sans-serif;">? </span>}$$

Practical Geometry Class 7

1.Draw an equilateral triangle whose each side is 4.5 cm.

2.Draw a ΔPQR, in which QR = 3.5 cm, m∠Q = 40°, m∠R = 60°.

3.Draw a ΔABC in which BC = 5 cm, AB = 4 cm and m∠B = 50°.

4.Construct a ΔPQR in which m∠P = 60° and m∠Q = 30°, QR = 4.8 cm.

Chapter 13 - Exponents and Powers

1. Find 28${\mathbf{<br>}}^{}$

2. Express the following in exponential form 2×2×a×a$\mathbf{<br>}$.

3. Find (−4)3$\mathbf{<br>}$

4. am×an

5. a0=_____?${\mathbf{<br>}}^{}$

Short Answer Questions                                                                          2 Mark

6. Express 16807 in exponential form.

7. Identify which is greater 27 or 72

8. Simplify 73×25${\mathbf{<br>}}^{}$

9. Write 1024 as a power of 2.

10. Using laws, find the value of (315÷310)×32$<br>$

11. Find 8×105+0×104+3×103+2×102+0×101+5×100.

12. Find the value of (30+20)×51$<br><br><br><br><br><br><br><br><br><br><br><br><br>$

13. Find (a6a4)×a−2×a0

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