Grade 7 DataHandling Chapter Test 2025-26

Grade 7 DataHandling Chapter Test 2025-2026

Max marks: 40 Duration 1hr 30 min

Answer the following

One mark questions (1 x 15 = 15 marks)

1. Choose the correct option. 

(i) The probability of getting a number less than or equal to 6 when a die is rolled is: 

(a) 0 (b) 6 (c) 16 (d) 1 

(ii) If a day is selected at random, what is the probability it is not Monday? 

(a) 17 (b) 27 (c) 67 (d) 76

(iii). Which of the following is a random experiment? 

(a) Tossing a coin (b) Rolling a single 6-sided die

(c) Choosing a marble from a jar (d) All of the above 

(iv) Which of the following is an outcome? 

(a) Rolling a pair of dice (b) Coin landing on heads

(c) Choosing 2 marbles from a jar (d) None of the above 

(v) Which of the following experiments does not have equally likely outcomes? 

(a) Choosing a number at random from 1 to 7 (b) Tossing a coin 

(c) Choosing a letter at random from the word SCHOOL (d) None of the above 

(vi)  The arithmetic mean of the first four natural numbers is: 

(a) 2 (b) 2.5 (c) 3 (d) 3.5 

(vi) The median of the first ten natural numbers is: 

(a) 5 (b) 5.5 (c) 6 (d) 6.5 

(viii) What is the mode of the given data? (10, 8, 11, 11, 7, 8, 10, 11, 7, 7, 11} 

(a) 4 (b) 10 (c) 11 (d) 7 

(ix)  The probability of any event cannot exceed: 

(a) 12 (b) 1 (c) 10 (d) 100 

(x) The probability of getting an even number when a die is rolled is

(a) 12 (b) 14  (c) 34 (d) 1 

(xi) A month is selected at random. What is the probability that it has 31 days?

(xii) Find the mean of the given data. 40, 90, 40, 20, 100 

(xiii) Find the median of the given data. 900, 1300, 1200, 1000, 1100 

(xiv)  Find the mode of the given data.  46, 106, 4, 46, 134, 86, 86.5 

(xv)  If a date is randomly selected from April, what is the probability that it is divisible by 7? 

Two marks questions (5 x 2 =10 marks)

1. Find the mean, median and mode of the following set of data: 16, 40, 44, 16, 40, 40, 80, 17, 64, 60, 100 

2.Suppose that the letter cards for the word MATHEMATICS were put face down and mixed up and a card is picked up at random. What is the probability of picking up a vowel? 

3.Find the most popular pizza topping from the list of orders: cheese, cheese, black olives, mushrooms, onions, cheese, mushrooms, black olives, onions, cheese, mushrooms, cheese. 

4. A number tile is randomly selected. 

(i) How many possible outcomes are there? 

(ii) What are the favourable outcomes of choosing a prime? 

(iii) In how many ways can choosing a composite number occur? 

5. Find the probability of getting a sum of 8 when 2 dice are rolled. 

Three mark questions  (5 x 3 = 15 marks)

1.10. A die is rolled once. Find the probability of getting a number: 

(i) less than 4 

(ii) less than or equal to 4 

(iii) greater than 4 

(iv) greater than or equal to 4 

2. A bag contains 4 blue, 4 red, 6 yellow and 10 white marbles. What is the probability of drawing the following? Which of these is a certain event? 

(i) a blue marble (iii) a red marble 

(ii) a yellow marble (iv) a white marble 

(v) a blue or a yellow marble (vii) A red, yellow or white marble 

(vi) a red or a white marble (viii) A red, blue, yellow or white marble.

3.

4.

5.

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SOLUTIONS

Grade 7 DataHandling Chapter Test 2025-26

One-mark questions:

(i) The probability of getting a number ≤ 6 on a die (all outcomes 1 to 6):
Answer: (d) 1

(ii) Probability of not Monday = 6/7 (since there are 7 days)
Answer: (d) 6/7 (likely meant “6⁄7” — option marked as 76 is a typo)

(iii) A random experiment has uncertain outcomes.
Answer: (d) All of the above

(iv) An outcome is a single possible result.
Answer: (b) Coin landing on heads

(v) “SCHOOL” has letters with unequal frequency.
Answer: (c) Choosing a letter at random from the word SCHOOL

(vi) First four natural numbers: 1, 2, 3, 4 → Mean = (1+2+3+4)/4 = 2.5
Answer: (b) 2.5

(vii) First ten natural numbers: 1 to 10 → Median = (5 + 6)/2 = 5.5
Answer: (b) 5.5

(viii) Data: 10, 8, 11, 11, 7, 8, 10, 11, 7, 7, 11 → Mode = 11 (occurs 4 times)
Answer: (c) 11

(ix) Probability cannot exceed 1
Answer: (b) 1

(x) Even numbers on a die: 2, 4, 6 → 3 outcomes out of 6 = 3/6 = 1/2
Answer: (a) 1/2

(xi) Months with 31 days: Jan, Mar, May, Jul, Aug, Oct, Dec = 7/12
Answer: 7/12

(xii) Mean of 40, 90, 40, 20, 100 = (40+90+40+20+100)/5 = 58
Answer: 58

(xiii) Data: 900, 1300, 1200, 1000, 1100 → Sorted: 900, 1000, 1100, 1200, 1300 → Median = 1100
Answer: 1100

(xiv) Mode: 46, 106, 4, 46, 134, 86, 86.5 → 46 appears twice
Answer: 46

(xv) Dates in April = 30. Numbers divisible by 7: 7, 14, 21, 28 → 4 outcomes → 4/30 = 2/15
Answer: 2/15

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Two-mark questions:

1. Data: 16, 40, 44, 16, 40, 40, 80, 17, 64, 60, 100

• Mean = sum/11 = (577)/11 = 52.45

• Median (sorted): 16,16,17,40,40,40,44,60,64,80,100 → middle = 40

• Mode = 40 (appears 3 times)

2. MATHEMATICS → Letters: M, A, T, H, E, M, A, T, I, C, S → vowels: A, E, A, I → 4/11
Answer: 4/11

**3. Pizza toppings: cheese (5), black olives (2), mushrooms (3), onions (2)
Answer: Cheese

4. Assume tiles = numbers 1–10:
(i) 10 possible outcomes
(ii) Primes = 2, 3, 5, 7 → 4 favourable outcomes
(iii) Composites = 4, 6, 8, 9, 10 → 5 outcomes

5. Getting a sum of 8 with two dice:
(2,6), (3,5), (4,4), (5,3), (6,2) → 5 favourable outcomes
Total = 36 → Probability = 5/36

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Three-mark questions:

1. Die rolled once (numbers 1–6):
(i) < 4 → {1,2,3} → 3/6 = 1/2
(ii) ≤ 4 → {1,2,3,4} → 4/6 = 2/3
(iii) > 4 → {5,6} → 2/6 = 1/3
(iv) ≥ 4 → {4,5,6} → 3/6 = 1/2

2. Marbles: 4 blue, 4 red, 6 yellow, 10 white = 24 total

• (i) Blue: 4/24 = 1/6

• (ii) Yellow: 6/24 = 1/4

• (iii) Red: 4/24 = 1/6

• (iv) White: 10/24 = 5/12

• (v) Blue or Yellow = (4+6)/24 = 10/24 = 5/12

• (vi) Red or White = (4+10)/24 = 14/24 = 7/12

• (vii) Red, Yellow or White = (4+6+10)/24 = 20/24 = 5/6

• (viii) All colors = 24/24 = 1 → This is the certain event