2026 TEST PAPER QUESTIONS AND
SOLUTIONS GRADED A+
◉ Whole numbers. Answer: Zero and natural numbers
0, 1, 2, 3, 4, 5, ...
◉ Integers. Answer: Whole numbers and their opposites
..., -3, -2, -1, 0, 1, 2, 3, ...
◉ Rational numbers. Answer: Set of ratios of integers
Decimal either terminates or repeated in a predictable way
5, -3, 2/3, 5/4, -6/11
Every integer is a rational number
Not every rational number is an integer
◉ Irrational numbers. Answer: Numbers with non-terminating and non-
repeating decimals
◉ Real numbers. Answer: Set of rational and irrational numbers
Set of numbers expressible as decimals
,◉ Properties of addition + multiplication. Answer: Communicative
Associative
Identity
◉ Communicative property. Answer: 2 + 3 = 3 + 2
2x3=3x2
Same, regardless of the order
◉ Associative property. Answer: 2 + (3+5) = (2+3) + 5
2 x (3x5) = (2x3) x 5
Same regardless of the way in which the numbers are grouped
◉ Identity property. Answer: 2 + 0 = 2
2x1=2
Adding zero / multiplying by one does not change the number
◉ Distributive property. Answer: Product of a number with a sum equals
the sum of the products of the number with each term of the sum
◉ Exponentiation. Answer: Repeated multiplication
, ◉ Any number to 0 power. Answer: 1
◉ Negative exponent. Answer: Reciprocal of number
◉ Any number to the 1 power. Answer: The number itself
◉ Multiplying like bases with exponents. Answer: Add exponents
◉ Exponentiating a power. Answer: Multiply exponents
◉ Multiplying fractions. Answer: Multiply numerators and multiply
denominators
◉ Dividing fractions. Answer: Multiply by reciprocal of second fraction
◉ Scientific notation. Answer: 1. Move decimal point left of right until
digits are between 1-10
2. Moving decimal 'n' places SN is number x 10'n
◉ Ratios. Answer: a/b = c/d
a:b = c:d
a is to b as c is to d