Category 1
What is the reciprocal of 4 5/12?
12/53
Give the prime factors of 98.
2 x 7 x 7
How many perfect squares are there from 1 to 100?
There are 10 perfect squares from 1 to 100 (1, 4, 9, 16, 25, 36, 49, 64, 81, and 100). These squares are obtained by squaring the numbers from 1 to 10.
Convert 1.5 L to mL.
1,500 mL.
Find the next two terms of the elements of the sequence 1, 8, 19, 32, 49, ...
68 and 91
A vendor had 64 avocados in her stall. She sold 7/8 of them. How many avocados were left?
8 avocados
What is the quotient of 15/6 divided by 1/4?
10
How many times greater is 1 billion than 1,000?
1,000,000 times greater.
Evaluate 3x2 - 2y3 when x = 2 and y = - 1.
14.
Factor completely 49x2 - 4y2.
[(7x + 2y) (7x - 2y)]
Sydney has six $20 bills, five $50 bills, and 5 $100 bills in her wallet. How much money does she have in all?
She has $870 in all.
The perimeter of a square is 19. 2 meters. What is the length of one side?
4.8 meters
What number is 23 more than the difference between 100 and 47?
76
Evaluate (23)2 - 2332.
- 8
As part of a school's wildlife reserve clean-up drive, a visit to a man-made forest was organized. 12 teachers and staff, together with 215 students, signed up for the trip to pick up garbage that has been left by tourists in the park. How many buses are needed for the trip, if each bus can accommodate 50 people?
4 r. 27 = 4 + 1 = 5 buses.
What is the smallest whole number which when divided by 6 gives a remainder of 1 and when divided by 11 gives a remainder of 6?
61
If 9 is subtracted from 4 times a number, the result is 71. What is the number?
20
The product of two numbers is 15 5/6 and one of those numbers is 3 1/3. What is the other number?
4 3/4
Simplify (1/2 - 1/3)/ 1/4.
2/3
The conversion formula from Celsius (C) to Fahrenheit (F) is F = 9/5 C+ 32. Solve the equation for C.
C = 5/9 F - 32.
A class of 48 pupils ordered fruit juices. 1/3 of them ordered grape juice, 1/2 ordered orange juice, and the rest ordered apple juice. How many pupils ordered apple juice?
8 pupils
Give two consecutive even numbers whose sum 54.
26 and 28.
Three squares with a side that measures 8 3/4cm are placed side by side to form a rectangle. Find the perimeter of the rectangle formed.
70 cm.
Express the decimal 2.125 in fraction form (as a quotient of two integers/ improper fraction).
17/8
Solve the inequality: 2x + 5 > 5x - 16.
x < 7