Page 59 - Maths Skills - 7

Assessment - 1 57

Case Study Based Questions
Aakash arranged vacations to pattaya with his children during their holiday. They were all excited to go scu-
ba diving on the coral island. Aakash dived 47 feet to reach the brain coral according to the directions of his
instructor. He then rose by 16 feet to reach an underwater cave.
Read the paragraph carefully and answer the following questions.
16. What is the depth of the underwater cave?

17. Aakash again dived 62 feet to reach the base of the roof. What is the depth of the roof?
18. From the base of the roof Aakash rose 18 feet and saw a whale passed him how far was the whale
from the sea level?

Assertion-Reason Based Questions

Directions for Questions 19 to 20: Each question consists of two statements of the questions given below,
there are two statements marked as Assertion (A) and Reason (R).mark your answer as per the code provide
below:
(a) Both A and R are true and R is the correct explanation of A.
(b) Both A and R are true but R is not the correct explanation of A.
(c) A is true but R is false. (d) A is false but R is true.

19. Assertion (A) : x – x – 1 = 5 is not a linear equation.
2
Reason (R) : A linear equation is one in which the highest power of the variable is one.
5
20. Assertion (A) : 3 is a mixed fraction.
16
Reason (R) : A mixed fraction is the combination of numerator and denominator.

SUBJECTIVE BASED QUESTIONS

21. For the given of a & b, verify that a – (–b) = a + b, a = 16, b = 15

22. The temperature at noon was 10°C. If it decreases at the rate of 2°C per hour untill midnight, at
what time would the temperature be 6°C below zero? What would be temperature at mid night?
23. The highest point on earth is the Mount Everest at height of 8848m above sea level. The lowest
point on the earth is the Mariana Trench, in the Pacific Ocean at the depth of 11034 m below sea
level. Find the vertical height difference between the Mount Everest and the Marina Trench.
24. Find the value of x for the following

(–32) × [4 × (–4)] = (–32) × x + (–32) × (–4)
25. A bag contains 25 marbles. 7 of these are green, 8 are blue, 4 are red the rest are yellow. Write the
fractions for the number of marbles of each colour.
3 3 5
26. Divide (i) 3 by 48 (ii) ÷
7 42 14
27. The numerator of a fraction is 5 less than the denominator. If 2 is added to both numerator and
4
denominator, it becomes . find the fraction.
5
28. Riddhi is 5 years younger than Aarav. Four years later, Aarav will be twice as old as Riddhi.
Find the present ages.