Basic operations in mathematics contain addition,subtractions,multiplications,and division. In basic operations we use the BODMAS rule.
Question 1: Which of the following is/are true?
I 13^2 = 169
II 2^8 = 82
III 27^1/3 = 3
(a) II only
(b) I and II only
(c) I and III only
Explanation: Simplify and check.
Question 2: The average age of 20 students is A and the average age of 15 students is B. What is the average of the two numbers?
Explanation: Let the sum of ages of 20 students be S^1 and the sum of ages of 15 students be S^2.
Question 3: Ishika creates the base of a picture frame of dimension 4.5m × 6.5m of red fabric. If the cost of fabric is $5 per m2. Calculate the total money spent on making a frame?
Explanation: Area of picture frame = 4.5m × 6.5m = 29.25m^2
Question 4: John draws a rectangle with a length of 8cm. He draws a second rectangle with a length of 11cm. John continued drawing more rectangles, where for each rectangle drawn he used a length of 5cm more than the previous rectangle. If these patterns continue, what will be the length of the 12th rectangle?
Explanation: Since the length of the first rectangle is 8cm and the length of the second rectangle is 11cm. Now, the length of the third rectangle is 11+5=16cm, and continues adding 5cm to the previous one.
Question 5: Tina ran 12 laps everyday. In how many days does she complete 300 laps?
(a) 20 days
(b) 30 days
(c) 25 days
(d) 15 days
Explanation: Number of days to complete 12 laps = 1days
Therefore, number of days to complete 300 laps = 1/12 x 300
Question 6: Simplify:
Question 7: A man walks at the speed of 12 km per hour. How much time does he take to cover 78 km?
(a) 6 hours
(b) 7 hours
(c) 8 hours
(d) 6.5 hours
Explanation: Use the formula Time = Distance/Speed
Question 8: If ‘÷’ means ‘×’, ‘+’ means ‘÷’, ‘-’ means ‘+’, ‘×’ means ‘-’, then solve 8+4÷3-5×6 =?
Explanation: Change the sign accordingly and simplify.
Question 9: Simplify:
Explanation: Use the BODMAS.
Question 10: In a farm, there are some cows and hens. If there are a total 35 heads and 110 legs, how many cows and hens are there?
(a) 20 cows & 15 hens
(b) 15 cows & 20 hens
(c) 25 cows & 10 hens
(d) 10 cows & 25 hens
Explanation: Let the number of cows be x.
And, the number of hens will be y.
Number of legs of cow = 4x
Number of legs of hen = 2y