Free MAP Math Practice Problems by Grade

Middle-school math is not one subject getting steadily harder. It is a sequence of fairly abrupt changes, each of which trips up a different kind of child, and knowing which change your own is standing in front of tells you more than any single score.

This page lays out that sequence, and gives you a free 14-question check for each year. No sign-up needed.

About these questions. These are original Helix Math questions designed to practice skills commonly assessed on adaptive math assessments such as MAP Growth. Helix Math is not affiliated with or endorsed by NWEA or HMH, and these are not official MAP questions.

How math changes from grade 4 to grade 8

Grade 4: the numbers get bigger and fractions stop being pictures. Multiplication moves to two digits by two digits, division starts leaving remainders that have to mean something, and decimals arrive as another way of writing tenths and hundredths. The child to watch is the one whose times tables are still effortful, because everything this year sits on top of them. Free grade 4 check

Grade 5: fractions turn into arithmetic. All four operations, unlike denominators, including multiplying fractions and dividing by them. This is the single most predictive year in elementary math. A child who leaves grade 5 with the procedures but not the reasoning usually meets the bill in grade 6. Free grade 5 check

Grade 6: three new things at once. Ratios, negative numbers, and letters standing in for numbers. The arithmetic barely gets harder; what changes is that answers stop being numbers and start being relationships. Ratios are the load-bearing one. Free grade 6 check

Grade 7: one idea does most of the work. Proportional reasoning. Percent, scale, unit rate and the constant of proportionality are the same idea in different clothes, and a child who sees that has a far easier year than one learning four separate topics. Negative numbers also stop being a concept and become arithmetic. Free grade 7 check

Grade 8: functions and lines. The last year before high-school algebra, spent building the thing algebra is about: a rule that turns one number into another, and what that rule looks like drawn. Algebra 1 assumes this is already there. Free grade 8 check

Read down that list and one description usually lands harder than the others. That is generally the year worth checking, and it is often the year before the one your child is in.

What a worksheet can't tell you

A worksheet, or a single MAP score, tells you how many your child got right. It does not tell you which skills underneath are secure, which are developing, and which need review. Two children can earn the same score for opposite reasons: one has a solid foundation, the other is one gap away from a wall.

That gap between getting an answer and reliably knowing when to use a method is what we call fluent but fragile. It is why fractions are the fault line for so many kids, and why the average hides the gaps that a single number leaves out.

Before a fall MAP test

Most schools give MAP Growth in a fall window, often late August into September. A fall score leans heavily on the previous year's foundations as much as on new grade-level material, which is why the check for the grade your child has just finished is often the more informative one.

Where to go next

MAP® and RIT® are registered trademarks of NWEA. Helix Math is not affiliated with or endorsed by NWEA.