Arithmetic

Question 1

Integer

Answer 1

Any whole number, not a fraction or decimal. -1200, -43, 0, 1, 1143

Question 2

Even integer

Answer 2

Any integer that gives you another integer when divided by 2.

Question 3

Odd integer

Answer 3

Any integer that gives a noninteger when divided by 2.

Question 4

Real number

Answer 4

Any number in the number line.

Question 5

Divisor or Factor

Answer 5

For an integer N, a divisor is a positive integer that can divide into N without creating a remainder. 1, 2, 3, 4, 6 and 12 are divisor of 12. Factors are always positive.

Question 6

Multiple

Answer 6

A multiple of integer N results by multiplying N with another integer. -7, 0, 7, 140 are multiples of 7.

Question 7

Prime number

Answer 7

Integer only divisible by itself and 1.

2, 3, 5, 7, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47.

Question 8

Proper fraction

Answer 8

Numerator < Denominator

Question 9

Improper fraction

Answer 9

Numerator > Denominator

Question 10

Mixed Number

Answer 10

When whole number and fraction are combined : 2(1/2), 3(3/4)

Question 11

Divisibility by 2

Answer 11

Number is even

Question 12

Divisibility by 3

Answer 12

Sum of the digits is divisible by 3.

Question 13

Divisibility by 4

Answer 13

The last 2 digits represent a number that is divisible by 4.

Question 14

Divisibility by 5

Answer 14

Last digit is a 0 or a 5.

Question 15

Divisibility by 7

Answer 15

Take the last digit, double it, and substract it to the rest of the digits. If the result is divisible by 7, the original number is.

Ex : 1050. 0×2=0, 105-0=105, 105=7×15

Question 16

Divisibility by 10

Answer 16

Last number is 0

Question 17

Divisibility by 11

Answer 17

Take difference between sums or alternate digits. If results divisible by 11, original number is. Ex : 4862. 4+6=10, 8+2=10, 10-10=0 which is divisible by 1. 4862=11×442

Question 18

Divisibility by 25

Answer 18

Last two digits divisible by 25.

Question 19

Greatest Common Factor (GCF)

Answer 19

Largest number that divides evenly into each of the given numbers. Look at the prime factors to find it. Ex : 42=2×3×7, 70=2×5×7. GCF of 42 and 70 is 2×7=14

Question 20

Least Common Multiple (LCM)

Answer 20

Smallest nonzero number, multiple of 2 or more given numbers. Make sure that the LCM includes the required Prime for each numbers. Ex : 42=2×3×7, 56=2×2×2×7. LCM of 42 and 56 is 2×2×2×3×7=168

Question 21

Even and Odd integers - Sum and difference

Answer 21

E +/- E = E — E +/- O = O — O +/- O = E

Question 22

Even and Odd integers - Product

Answer 22

E × E = E — O × O = O — E × O = E

Question 23

Positive and Negative - Product

Answer 23

(+) × (+) = (+) — (-) × (-) = (+) — (+) × (-) = (-)

Question 24

Units digits - Example 6.797×13.473 ?

Answer 24

Numbers properties : multiply the last digits and take the digit of the result. Ex: 7×3=21 so 1 will be the digit of the final number.

Question 25

Percent Change formule

Answer 25

PC = ( (FV - PV) ÷ PV ) × 100, with FV and PV Future and Present Values

Question 26

Ratios - x:y or x/y or “x to y”. Example : in a class, the ratio of female to male is 1/3. What proportion of the class is female?

Answer 26

F:M:Total = 1:3:4 - So there proportion of female in the class is 1/4