| Visual Problems |
| 1000 | visual problems |
| 1007 | networks, tracing |
| 1008 | pattern completion (visual) |
| 1009 | counting shapes in shapes |
| 1010 | visual sequences, linear |
| 1015 | visual sequences, 2-dimen. |
| 1020 | geometry, informal |
| 1026 | tesselation |
| 1027 | partitions |
| 1030 | connecting dots |
| 1040 | trees in rows, planting |
| 1050 | pennies, arranging |
| 1060 | toothpicks |
| 1070 | grabbers, trick quest, cheap shots |
| 1079 | words, problems about |
| 1080 | optical illusions |
| Three-Dimensional Problems |
| 1090 | three-dimen. problems, elem. |
| 1093 | geoblocks |
| 1094 | two-dimen. versions of 3-d prob. |
| 1095 | missing faces of solids |
| Problems With Numbers, non-computational |
| 1100 | number patterns (cf. 2530, 2850) |
| 1110 | numbers in patterns, arranging |
| 1120 | cross-number puzzles |
| 1130 | magic squares |
| 1140 | pails and measuring |
| 1160 | crypt-arithmetic |
| 1170 | money/coins: change; value (cf. 1350, 2480) |
| Logical Deduction |
| 1180 | logic, analysis (classic brainteasers) |
| 1190 | time, incl. calendars |
| 1192 | calendars |
| 1200 | rank ordering |
| 1210 | hats: who has which hat on |
| 1220 | sorting: Canadian owns the wombat |
| 1230 | sorting, misc.: which is which |
| 1232 | incomplete information charts |
| 1240 | river crossing |
| 1245 | Jeep problems |
| 1250 | false coins (2-pan scales) |
| 1255 | scales, two-pan |
| 1260 | handshake problem |
| 1270 | pigeonhole principle |
| 1280 | liars/truthtellers |
| 1290 | venn diagrams (cf. 2030) |
| Arithmetic |
| Arithmetic with Whole Numbers |
| 1300 | numerals, writing; digits (pl. value, cf. 1720) |
| 1305 | odd-even numbers |
| 1307 | consecutive integers |
| 1310 | adding and subtracting (cf. 1140) |
| 1320 | multiplying and dividing (incl +, -) (cf. 1140) |
| 1322 | remainders |
| 1330 | squares & square roots (cf.1670) |
| 1331 | squares (cf. 1670) |
| 1332 | square roots |
| 1333 | higher powers & roots |
| 1334 | powers, higher |
| 1335 | roots, higher |
| 1340 | counting (how many) |
| 1342 | counting: how many ways |
| Arithmetic with Real Numbers |
| 1350 | decimal arithmetic, incl. $ (cf. 1170, 2480) |
| 1360 | rational numbers |
| 1365 | fractions (numerical) |
| 1367 | fractions, equivalent |
| 1368 | rational number arithmetic |
| 1370 | percent, numerical (cf. 2410, 2290) |
| 1380 | integers |
| 1385 | integer operations |
| 1390 | irrationals |
| 1395 | radical manipulation |
| 1400 | rationalization |
| 1410 | exponents, arithmetic using (cf. 2100) |
| 1412 | exponents, laws of |
| 1420 | approximation |
| 1430 | arithmetic means, numerical (cf. 2452, 2860) |
| 1440 | geometric means, num. (cf. 2454, 2870, 3590) |
| 1450 | harmonic means, num. (cf. 2456, 2880) |
| Calculator use |
| 1460 | calculator, use of |
| 1465 | calculator, broken key |
| 1470 | calculator: heavy calculations |
| 1480 | calculator pattern discovery |
| Pre-Algebra Word Problems |
| 1490 | bargains (cf. linear programming 2220) |
| 1510 | living life (1/8 as boy , 1/4 as..) |
| 1520 | wages |
| 1530 | word problems, whole #'s (typical) |
| 1540 | word problems, hard but (typical) |
| 1550 | word problems: soft-core algebra |
| 1560 | pickanumba |
| 1600 | prime numbers |
| 1610 | factors |
| 1620 | prime factorization |
| 1630 | factor, greatest common |
| 1640 | divisibility |
| 1650 | multiples |
| 1660 | multiples, least common |
| 1680 | factorials |
| 1690 | diophantine equations |
| 1700 | number bases |
| 1710 | sums of integers |
| 1720 | place value, prob about (cf.1300) |
| 1730 | number theory proofs |
| 1740 | modular arithmetic |
| 1800 | measurement, elementary |
| 1810 | dimensional analysis |
| 1900 | flow charts |
| 2010 | real number system, structure |
| Complex Numbers |
| 2020 | i |
| 2021 | complex numbers |
| 2022 | complex number operations |
| Symbol Manipulation |
| 2030 | sets (cf. 1290) |
| 2040 | operations, prop. of ("new math") |
| 2050 | numerical expressions: order of op. |
| 2070 | formulas, inventing (alg. expr.) (cf. 2530, 2580) |
| 2080 | symbol manipulation (cf. 2110) |
| 2090 | linear expressions |
| 2100 | exponents, algebraic expr. with (cf. 1410) |
| 2110 | polynomial manipulation |
| 2120 | factoring, misc. |
| 2121 | factoring, quadratics |
| 2122 | factoring, cubics and higher |
| 2130 | absolute value (cf. 2285) |
| 2140 | ratio |
| 2150 | rational expressions |
| 2152 | rational expressions, evaluating |
| 2160 | fractions, complex |
| 2162 | fractions, continued |
| 2180 | radicals, roots |
| 2190 | reciprocals |
| Equations and Inequalities, Linear and Quadratic |
| 2200 | equations, linear & rational |
| 2210 | inequalities, linear, incl. abs. values |
| 2211 | inequalities w/ abs. value |
| 2220 | linear programming (cf. bargains 1490) |
| 2230 | equations, quadratic |
| 2232 | functions, quadratic |
| 2238 | equations, quadratic, non-routine |
| 2240 | factoring: quadratic equations |
| 2250 | inequalities, quadratic |
| 2250 | rational equations |
| 2260 | cubics & higher degrees (cf.2680) |
| 2270 | equations involving radicals |
| 2285 | equations with absolute value (cf. 2130) |
| 2286 | equations w/ radicals |
| 2288 | equations, misc. |
| 2290 | proportions (cf. 2560) |
| 2300 | equations, exponential |
| 2305 | exponential growth |
| Systems of Equations |
| 2310 | equations, systems of, linear |
| 2315 | equations, systems, 3 or more variables |
| 2320 | equations, systems of, non-linear |
| 2330 | equations, systems of, trig. |
| 2340 | equations, systems of, misc. |
| 2350 | inequalities, misc. |
| 2360 | matrices, determinants |
| 2361 | matrices |
| 2365 | determinants |
| 2370 | identities, algebraic |
| 2380 | binomial coefficients |
| 2385 | Pascal's triangle (cf. 2890) |
| 2390 | binomial expansion |
| Word Problems Needing Algebra |
| 2400 | problem solving, about |
| Translating among Words, Equations, Diagrams |
| 2405 | translating words to equations |
| 2407 | translating words to diagrams |
| 2408 | word prob. w/ diagrams |
| Standard and Unusual Word Problems |
| 2410 | percent, algebraic (cf. 1370) |
| 2412 | percent from Henle |
| 2420 | rates |
| 2430 | valves |
| 2440 | distance, rate, time |
| 2442 | distances upstream/downstream |
| 2445 | perimeter & area & volume |
| 2447 | area (cf. 3410-3450) |
| 2448 | volume (cf. 3650) |
| 2450 | means arith, geom, harm (cf. 2860-80) |
| 2452 | arithmetic means, algebraic |
| 2454 | geometric means, algebraic |
| 2456 | harmonic means, algebraic |
| 2460 | ages |
| 2465 | ages, complicated problems |
| 2470 | profit and loss |
| 2480 | money (cf. 1170, 1350) |
| 2485 | pre-calc text alg. probs. |
| 2490 | probs. w/ ans. a range of values |
| 2500 | probs. misc. (consecutive integers) |
| Further Topics in Algebra |
| 2510 | operations, made-up, e.g. 2*3 |
| 2520 | relations |
| Functions |
| 2530 | functions, informal (cf. 2580, 2630, 2070) |
| 2540 | domain, range |
| 2542 | domain |
| 2544 | range |
| 2560 | variation, direct (cf. 2290) |
| 2570 | variation, inverse |
| 2580 | f(x) notation |
| 2585 | functions, graphs of |
| 2590 | absolute value function (cf. 2130, 2285) |
| 2600 | greatest integer function |
| 2610 | composite functions |
| 2615 | functions, recursive |
| 2620 | inverse functions |
| 2630 | equations, functional |
| 2640 | equations, polynomial |
| 2650 | polynomials, real roots of |
| 2660 | polynomials, complex &/or real rts. |
| 2670 | remainder theorem |
| 2680 | cubics (cf. 2260) |
| 2700 | sequences & series (cf. 2860-80) |
| 2701 | sequences |
| 2702 | series |
| 2710 | functions, exponential |
| 2720 | optimization |
| Logarithms |
| 2730 | logarithms: manipulations |
| 2735 | log to exp. form & v.v. |
| 2740 | logarithms: change of base |
| 2745 | equations, logarithmic |
| Analytic Geometry |
| 2750 | coordinate plane |
| 2760 | coord. geom: slope, dist, midpt. &c. |
| 2761 | slope of line |
| 2762 | distance formula |
| 2763 | midpoint formula |
| 2770 | lines on coordinate plane (cf. 3680) |
| 2780 | conic sections |
| 2782 | parabolas |
| 2784 | ellipses |
| 2786 | hyperbolas |
| 2788 | circles (equations) |
| 2790 | coordinate space: 3-d analyt. geom. |
| 2800 | spheres (analytical) |
| 2810 | graphing techniques symm, asymp. |
| 2820 | polar coordinates |
| 2840 | DeMoivre's theorem |
| 2850 | sequences (progressions) |
| 2860 | sequences, arithmetic (cf. 1430) |
| 2870 | sequences, geometric (cf. 1440, 3590) |
| 2880 | sequences, harmonic (cf. 1450) |
| 2890 | Fibonacci numbers (cf. 2385) |
| 2900 | series |
| 2950 | induction |
| 2970 | vectors |
| 2980 | limits |
| 2990 | probs. w/ (seemingly) insuff. info |
| Informal Geometry |
| 3000 | geometry, informal (for geom. class) (cf. 1020) |
| 3004 | four-color problem |
| 3050 | geometry: early (segments, angles) |
| 3060 | points in plane |
| 3065 | points in space |
| 3070 | suppl., compl. angles |
| 3071 | complementary angles |
| 3072 | supplementary angles |
| 3080 | separation (regions, counting) |
| Euclidean Geometry |
| Triangles |
| 3100 | triangles and congruence |
| 3140 | three-dimen. prob. w/ cong. triang. |
| 3150 | triangles, elementary: general |
| 3155 | triangles, advanced, general |
| 3160 | triangles, isosceles |
| 3170 | triangles, equilateral |
| 3180 | triangles, right |
| 3190 | triangles, right, 30-60 |
| 3200 | triangles, right isosceles |
| 3210 | inequalities, geometric |
| 3220 | optimization, geometric |
| 3230 | median, alt, angle bis, &c. |
| 3231 | medians of triangles |
| 3232 | altitudes of triangles |
| 3233 | angle bisection of triangles |
| 3234 | perpendicular bisection of sides of triangles |
| 3235 | midline of triangles |
| 3240 | Menelaus's theorem |
| 3250 | Ceva's theorem |
| 3260 | parallel and perpendicular lines |
| 3261 | parallel lines |
| 3262 | perpendicular lines |
| 3270 | parallel &perp. lines & planes |
| Polygons |
| 3300 | polygons |
| 3305 | polygons, regular |
| 3310 | polygons, angles of |
| 3320 | inscribed & circumscr. polyg. (cf.3570) |
| 3321 | inscribed polygons |
| 3322 | circumscribed polygons |
| 3330 | convexity |
| 3340 | trapezoids |
| 3350 | parallelograms |
| 3360 | rectangles |
| 3370 | rhombi |
| 3380 | squares |
| 3390 | other polygons |
| 3400 | perimeter |
| 3405 | area and perimeter |
| 3410 | area (cf. 3420-3460) |
| 3420 | polygons, area of |
| 3440 | circles, area of |
| 3450 | area, surface |
| 3460 | area in coordinate plane |
| 3470 | Pythagorean theorem |
| 3475 | Pythagoras in 3 dimensions |
| Circles |
| 3500 | circles |
| 3510 | arcs and angles |
| 3520 | chords and angles |
| 3530 | tangents |
| 3540 | secants |
| 3550 | circumference |
| 3560 | power of a point |
| 3570 | inscribed & circumscribed circles |
| 3571 | inscribed circles |
| 3572 | circumscribed circles |
| 3580 | similarity (proportion) |
| 3590 | means, geometric, in geometry (cf. 1440, 2870) |
| Solid Geometry |
| 3600 | solids |
| 3601 | patterns of solids |
| 3602 | sections of solids |
| 3610 | cubes |
| 3615 | rectangular prisms |
| 3618 | cylinders |
| 3620 | pyramids |
| 3625 | cones |
| 3630 | tetrahedrons |
| 3640 | spheres |
| 3650 | volume |
| 3680 | analytic geometry: lines (cf. 2770) |
| 3685 | analytic triangles |
| 3687 | lattice points |
| 3690 | analytic geometry: circles (cf.2780) |
| 3695 | analytic problems in 3-dimensions |
| 3700 | analytic geometry: spheres (cf. 2800) |
| 3720 | reflections, rotations, translations |
| 3721 | reflections |
| 3722 | rotations |
| 3723 | translations |
| 3750 | logic, formal |
| Proof |
| 3752 | proofs, geometric |
| 3754 | proofs, algebraic |
| 3755 | proofs, phony |
| 3800 | constructions |
| Locus |
| 3850 | locus |
| Trigonometry |
| 4000 | trigonometry, basics |
| 4040 | trigonometry functions, graphs of |
| 4050 | trigonometry on triangles |
| 4060 | sin(x + y) |
| 4080 | cos(x + y) |
| 4100 | identities, trigonometric |
| 4120 | functions, inverse trigonometric |
| 4140 | law of sines |
| 4160 | law of cosines |
| 4180 | radians |
| 4200 | trigonometry probs, juicy numerical |
| 4220 | trigonometry, spherical / 3-d probs |
| 4300 | combinatorics |
| 4340 | trigonometry on polyhedra, numer. |
| Probability |
| 4400 | probability (cf. 1340) |
| 4410 | combinations |
| 4420 | permutations |
| Everything Else |
| 5000 | SAT for algebra 1 |
| 5200 | SAT for geometry |
| 5300 | SAT for algebra/trig and beyond |
| 5400 | achievement level 1 |
| 5500 | achievement level 2 |