Speedlabs > CBSE Class 7 Maths Sample Paper 2

**CBSE Board**

**Class VII Mathematics**

**Sample Paper -2**

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**Time: 2½ hrs Total Marks: 80**

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**General Instructions:**

- All questions are compulsory.
- Section A comprises of 12 questions carrying 1 mark each.
- Section B comprises of 12 questions carrying 2 marks each.
- Section C comprises of 8 questions carrying 3 marks each.
- Section D comprises of 5 questions carrying 4 marks each.

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Section A (Questions 1 to 12 carry 1 mark each) | ||||||||||||||||||||||||||||||||||||||

1. | $-5+9+(-5)+(-10)+(1)$ is equal to A. 13 B. $-13$ C. $-10$ D. 10 | |||||||||||||||||||||||||||||||||||||

2. | $0.2 \times 0.2=$ A. $0.4$ B. $0.04$ C. $0.004$ D. $4.0$ | |||||||||||||||||||||||||||||||||||||

3. | The mode of following data is $14,11,12,13,11,12,11$ A. 14 B. 11 C. 12 D. 13 | |||||||||||||||||||||||||||||||||||||

4. | The linear equation $\frac{\mathrm{r}}{3}=\mathrm{q}$ can be written in statement form as A. 3 times $\mathrm{p}$ is $\mathrm{q}$ B. One third of $\mathrm{p}$ is $\mathrm{q}$ C. q times $\mathrm{p}$ is 3 D. One ninth of $\mathrm{q}$ is $\mathrm{p}$ | |||||||||||||||||||||||||||||||||||||

5. | Number of acute angles in the following figure is A. 2 B. 1 C. 4 D. 3 | |||||||||||||||||||||||||||||||||||||

6. | In the adjoining figure, if $\mathrm{AB}=\mathrm{PQ}$ and $\mathrm{BC}=\mathrm{CQ}$, then find the measure of angle $\mathrm{CPQ}$. A. $80^{\circ}$ B. $90^{\circ}$ C. $30^{\circ}$ D. $60^{\circ}$ | |||||||||||||||||||||||||||||||||||||

7. | $25 \times(-99)$ can be written as A. $25 \times(-100)+25 \times 1$ B. $25 \times(100)+25 \times 1$ C. $25 \times(100)-25 \times 1$ D. $25 \times(-100)-25 \times 1$ | |||||||||||||||||||||||||||||||||||||

8. | If $12.543$ is distributed in 100 parts, then each part equals A. $125.43$ B. $1254.3$ C. $1.2543$ D. $0.12543$ | |||||||||||||||||||||||||||||||||||||

9. | If on adding 9 to twice of a whole number gives 31 , then the whole number is A. 21 B. 16 C. 11 D. 7 | |||||||||||||||||||||||||||||||||||||

10. | What is the difference between the measures of a straight angle and a right angle? A. $45^{\circ}$ B. $60^{\circ}$ C. $100^{\circ}$ D. $90^{\circ}$ | |||||||||||||||||||||||||||||||||||||

11. | In the figure given below, name the parts of the triangles that can be used to prove the congruence of the two triangles. A. $A B=A D ; B C=D E ; \angle B=\angle D$ B. $A C=A E ; A B=A D ; B C=D E$ C. $\angle B=\angle D ; \angle C=\angle E$ D. $\angle \mathrm{B}=\angle \mathrm{D} ; \angle \mathrm{C}=\angle \mathrm{E} ; \mathrm{AB}=\mathrm{AD}$ | |||||||||||||||||||||||||||||||||||||

12. | The first step that we will use to separate variables and constants in the linear equation $2 \mathrm{x}+$$3=7$ is A. Transposing 3 to RHS B. Transposing 7 to LHS C. Diving both sides by 2 D. Multiplying both sides with 3 | |||||||||||||||||||||||||||||||||||||

Section B (Questions 13 to 24 carry 2 marks each) | ||||||||||||||||||||||||||||||||||||||

13. | A bag has 12 balls colored yellow, blue, green and red. The number of balls of each colour is the same. A ball is drawn from the bag. Calculate the probability of drawing a yellow ball, a blue ball, a green ball and a red ball. | |||||||||||||||||||||||||||||||||||||

14. | Write the linear equation for the following statement: “5 added to three-fifth of number gives $\frac{14}{3}$ Hence, find the number. | |||||||||||||||||||||||||||||||||||||

15. | If $a=-8, b=-7, c=6$, then verify that $(a+b)+c=a+(b+c)$ | |||||||||||||||||||||||||||||||||||||

16. | Add the following: $3.25,0.075$ and 5 | |||||||||||||||||||||||||||||||||||||

17. | Is it possible to have a triangle with the sides having following lengths? $5 \mathrm{~cm}, 3 \mathrm{~cm}, 4 \mathrm{~cm}$ | |||||||||||||||||||||||||||||||||||||

18. | In the figure below, lines $\mathrm{m}$ and $\mathrm{p}$ are parallel; $\mathrm{t}$ is a transversal. If $\angle \mathrm{a}=57^{\circ}$, then find $\angle \mathrm{z}$ | |||||||||||||||||||||||||||||||||||||

19. | Calculate median and mode for following data: $23,45,46,12,34,87,78,12,65,33,19,34,55,67,81,12,56,98,11,49,50$ | |||||||||||||||||||||||||||||||||||||

20. | Find the value of the following expression using suitable property: $725 \times(-35)+(-725) \times 65$ | |||||||||||||||||||||||||||||||||||||

21. | Mala finished drinking a glass of milk in $\frac{7}{8}$ minutes while varun took $\frac{9}{16}$ minutes to drink the same amount of milk. Who took longer time and by how much? | |||||||||||||||||||||||||||||||||||||

22. | What will you get on subtracting $-134$ from the sum of 38 and $-87$ ? | |||||||||||||||||||||||||||||||||||||

23. | In a factory, $9.2$ kilograms of pumpkin pie filling is made per minute. How many kilograms of pie filling will be made in 6 minutes? | |||||||||||||||||||||||||||||||||||||

24. | Write the following equations in statement form: | |||||||||||||||||||||||||||||||||||||

i. | $6 n+4=10$ | |||||||||||||||||||||||||||||||||||||

ii. | $\frac{\mathrm{y}}{7}-3=9$ | |||||||||||||||||||||||||||||||||||||

Section C (Questions 25 to 32 carry 3 marks each) | ||||||||||||||||||||||||||||||||||||||

25. | Find the value of $\mathrm{x}$ in the given figure. | |||||||||||||||||||||||||||||||||||||

26. | Simplify: $5.75-\frac{3}{7} \times 15 \frac{3}{4}+2 \frac{2}{35} \div 1.44$ | |||||||||||||||||||||||||||||||||||||

27. | The ages of Rahul and Karan are in the ratio $7: 5$. Ten years hence, the ratios of their ages will be $9: 7$. Find their present age? | |||||||||||||||||||||||||||||||||||||

28. | Find the values of $\mathrm{x}$ and $\mathrm{y}$ in the following figure. | |||||||||||||||||||||||||||||||||||||

29. | In AABC shown below, $A D \perp B C, B E \perp A C$ and $A D=B E$. Prove that $A E=B D$. | |||||||||||||||||||||||||||||||||||||

30. | The bar graph given below shows the sales of books (in thousands) from six branches of a publishing company during two consecutive years 2000 and $2001 .$ | |||||||||||||||||||||||||||||||||||||

i. | What is the ratio of the total sales of branch B2 for both years to the total ales of branch B4 for both years? | |||||||||||||||||||||||||||||||||||||

ii. | What is the average sale of all the branches (in thousand numbers) for the year 2000 ? | |||||||||||||||||||||||||||||||||||||

iii. | Total sales of branch $\mathrm{B} 6$ for both the years is what percent of the total sales of 4 branches B3 for both the years? | |||||||||||||||||||||||||||||||||||||

31. | f $\frac{1}{2}$ of $\frac{-3}{4}$ a number is 6, then what is the number? | |||||||||||||||||||||||||||||||||||||

32. | The given data is arranged in ascending order. The sum of mode and median of the given data is 15 . Find the value of $\mathrm{y}$. $y-1, y-1, y+1, y+4,2 y+1,3 y, 4 y$ | |||||||||||||||||||||||||||||||||||||

Section D (Questions 33 to 37 carry 4 marks each) | ||||||||||||||||||||||||||||||||||||||

33. | Given below are two triangles $\mathrm{ABD}$ and $\mathrm{CBD} . \mathrm{AD}=\mathrm{CD}$ and $\angle 3=\angle 4$. Prove that DB bisects $\angle \mathrm{ABC} .$ | |||||||||||||||||||||||||||||||||||||

34. | The number of trees planted by an agency in different years is given below:
Draw a bar graph. | |||||||||||||||||||||||||||||||||||||

35. | Town A is 60 km from town B, and 61 km from town C. A road connects towns B and C | |||||||||||||||||||||||||||||||||||||

36. | Below are the numbers of goals scored in 1998 by the top five scorers on each of the three National Hockey League teams. Use this information to complete the chart.
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37. | Simplify and reduce to standard form: | |||||||||||||||||||||||||||||||||||||

i. | $\frac{-15}{35} \times\left(\frac{27}{-63} \div \frac{81}{14}\right)$ | |||||||||||||||||||||||||||||||||||||

ii. | $\left(\frac{-2}{-72} \div \frac{4}{9}\right) \div \frac{-6}{14}$ |

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