Grade 4 Mathematics: Fractions, Place Value, and Problem Solving
What the test measures
Grade 4 math focuses on multi-digit whole numbers and fractions. You must be able to read and write numbers to one million, round to any place, and multiply a four-digit number by a one-digit number and two two-digit numbers. You need to compare fractions, recognize equivalent fractions, add and subtract fractions with like denominators, and multiply a fraction by a whole number. Expect area and perimeter, angle measurement in degrees, line symmetry, unit conversion within one system (for example, hours to minutes), and multi-step word problems.
Traps to watch for
Rounding is a common trap: check which place is asked for, then look only at the digit to its right. In fraction comparison, a bigger denominator means smaller pieces - one eighth is less than one fourth, not more. When adding fractions, add numerators and keep the denominator; never add denominators. In area and perimeter questions, read whether the problem asks for the distance around or the space inside. In word problems, watch for an extra step, such as finding a total and then splitting it. Also check units: a problem mixing minutes and hours needs a conversion first.
Rule of thumb and worked example
Rule: write the question in your own words and label the units before you compute.
Worked example: A rectangle is 7 cm long and 4 cm wide. What is its area? Area means the space inside, so multiply length by width: 7 × 4 = 28 square centimeters. If the question had asked for perimeter, you would add all sides: 7 + 4 + 7 + 4 = 22 centimeters. Naming the unit - square centimeters versus centimeters - is how you prove you answered the right question.