Full Grade 6 test

To find the stated part of a number, multiply the number by the fraction or decimal multiplier given in the question.

Result = {a} · {b}.

If {a} is given as a percentage, first convert it to a fraction: {a}% = {a} / 100.

Interest is calculated from the current balance each year, so in the second year it is also earned on the first year interest.

1. Convert the annual percentage into a multiplier: 1 + percentage ÷ 100.
2. Multiply the initial deposit by this multiplier once for the first year.
3. Multiply the new balance by the same multiplier again for the second year.

Formula: final amount = initial deposit × (1 + annual percentage ÷ 100)².

To subtract fractions with different denominators, first find a common denominator.

1. Find the least common multiple of the two denominators.
2. Rewrite both fractions with that common denominator.
3. Subtract the numerators and keep the common denominator.
4. Simplify the resulting fraction. If it is improper, it may be written as a mixed number.

Formula: ^a⁄_b − ^c⁄_d = ^{ad − bc}⁄_bd.

First find the area of the whole square by multiplying its side length by itself.

The diagonals divide the square into four triangles of equal area, so each has one quarter of the square area. The segment from the intersection of the diagonals to the midpoint of a side divides one of those triangles in half, so each small triangle has one eighth of the square area.

1. Use the letters of the shape to identify which parts it contains.
2. Add the required parts, or subtract the parts outside the shape from the area of the whole square.