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Numberdale practice · Ages 11 to 14 · Grades 6 to 8

MATHCOUNTS Prep

Practice for students going for top scores at MATHCOUNTS. Every answer is typed, as in the written rounds, and checked the contest's way, with a worked solution after each problem and the next one pitched at the student's level.

MATHCOUNTS® is a registered trademark of the MATHCOUNTS Foundation. Not affiliated with or endorsed by the MATHCOUNTS Foundation.

A Countdown match in MATHCOUNTS Prep at 2 to 0: 37 seconds left and Chapter star is thinking. The average of 8 numbers is 25; with one taken away, the other 7 average 22; what number was taken away? 46 is typed beside the Buzz button.

How it works

Practice the way the competition asks.

Every problem is made fresh in the style of MATHCOUNTS, from the same checked problem templates as AMC 8 Prep. There are no answer choices: the student works it out and types the number.

  1. A problem: in triangle ABC, D is on AB and E is on AC with DE parallel to BC; AD = 2, DB = 3 and BC = 5, what is DE? The triangle is drawn, and 10/3 is typed in the answer box beside Check.

    Type the answer.

    Fractions, square roots and π all type in, and on a touch screen a row of keys adds √, π, / and −. A line under the problem says the form it wants: a common fraction, simplest radical form, or in terms of π. Scratch paper opens right over the problem, and a hint gives the key idea (and counts half).

  2. The same problem checked: 10/3 is not right, the answer is 2. A note says 10/3 comes from using AD : DB instead of comparing AD with all of AB, then the key idea and the solution in two steps.

    Checked the MATHCOUNTS way.

    The right value in the wrong form, like 6/4 for 3/2, is marked wrong, as at the contest, with how to write it. A wrong answer that comes from a common slip says which slip. Then the key idea and the solution, step by step, and a missed problem comes back later as a similar one.

  3. A Target round pair: regular hexagon ABCDEF has area 18 and triangle ACE is shaded, with the answer typed and the on-screen calculator open

    Sprint and Target rounds, timed.

    The Sprint round: 30 problems in 40 minutes, no calculator, quick ones first, and answers can change until it's handed in. The Target round: 4 pairs of problems, 6 minutes a pair, with a calculator on screen. Each ends with the score, every problem and its solution.

  4. A Countdown match at 1 to 0: 33 seconds left on the clock, Chapter star is thinking, and 29 is typed for the diagonal of a rectangle with perimeter 82 and one side 21

    Countdown: race a computer opponent.

    45 seconds a problem, one buzz each, first to 3 points, no calculator. Four opponents, each faster and surer than the last; one is marked as about an even match right now. Or race "your past self", which answers with the student's own earlier times.

What it covers

Every area of the competition.

24 topics in eight areas, the same as AMC 8 Prep. Each topic has its own level, and the home shows how ready the student is for the harder problems in each area: Started, Building, Solid or Ready. Every problem template is checked: its answer is confirmed a second, independent way on hundreds of instances, and reviewers solved the problems blind.

  • Geometry

    12 topics

    • Pythagorean theorem
    • Special right triangles
    • Angle chasing
    • Polygon angles
    • Shaded areas
    • Similar triangles
    • Triangle area ratios
    • Coordinates & lattice
    • Circles
    • 3-D solids
    • Nets, folding & symmetry
    • Counting shapes & tilings
  • Arithmetic

    2 topics

    • Fractions & percents
    • Clever computation
  • Counting & probability

    2 topics

    • Counting
    • Probability
  • Number theory

    1 topic

    • Factors, divisibility, GCD and LCM, remainders, units digits
  • Algebra

    2 topics

    • Sequences
    • Equations & word problems
  • Ratios & rates

    1 topic

    • Ratios, speed, distance and time
  • Statistics

    2 topics

    • Mean, median & mode
    • Reading charts
  • Logic & patterns

    2 topics

    • Patterns & strategy
    • Logic puzzles

For parents and coaches

Rounds, topics and time

The report shows each topic with how many problems were right and the average time, and every Sprint and Target score so far. (On the day, a student's own score is the Sprint problems right plus twice the Target problems right, out of 46.) Progress stays on the device: the name the student types, their answers, levels, reviews, rounds and matches are saved in that browser. With the optional Numberdale family account (the same one as the games and AMC 8 Prep), it also syncs across devices and shows on the parents' page.

  • No ads.

    Not in the practice, not on this page.

  • Progress stays on the device, or syncs with the family account.

    Answers and scores are saved in the browser. We receive only anonymous counts, and the problem reports a student chooses to send.

  • Answers checked the contest's way.

    Typed answers are read in the forms MATHCOUNTS asks for, and each problem template's answer is confirmed a second, independent way on hundreds of instances.

FAQ

Questions about MATHCOUNTS Prep

Is it official?

No. MATHCOUNTS Prep is made by Numberdale and is not affiliated with or endorsed by the MATHCOUNTS Foundation, which runs the competition. MATHCOUNTS® is a registered trademark of the MATHCOUNTS Foundation. The problems are generated in the style of the competition, not copied from it.

Who is it for?

Students in grades 6 to 8 getting ready for the MATHCOUNTS Competition Series, from the school round to chapter competitions in February and on. The home counts down to chapter season and follows each area of the test.

How is it different from AMC 8 Prep?

They are sister sites, with the same topics and the same checked problem templates. AMC 8 Prep is multiple choice, with every real past AMC 8 to score. MATHCOUNTS Prep has typed answers, Sprint and Target rounds and Countdown. Many students take both contests, and one family account covers both.

What about the Countdown and Team rounds?

Countdown is here as a duel against a computer opponent: 45 seconds a problem, no calculator, and the first right buzz scores. The Team round needs a team, so it is left out.

Where is progress saved?

On the device, in the browser. A grown-up can also turn on the optional Numberdale family account, the same one as the games and AMC 8 Prep: progress then syncs across devices and the parents' page shows it, rounds included. Without an account, the report has a progress code to copy to another browser.

Does it work on a phone?

Yes, on a phone, a tablet or a computer. On a touch screen a row of keys types √, π, / and −. A full Sprint round is easiest on a bigger screen, with paper beside it.