| EXERCISES: | SUBJECT: | CONTENTS: |
|---|---|---|
| INTEGERS REVIEW | INTEGERS | 22 pages of worksheets about multiples & divisors. Prime & composite numbers. LCM & GCF. Basic & combined operations with integers. Absolut value. Hierarchy. Word problems involving LCM & GCF. |
| FRACTIONS | FRACTIONS | 42 pages of worksheets about e quivalent & irreducible fractions. Comparing fractions. Addition & subtraction, and multiplication & division of fractions. Combined operations & hierarchy. Operations with complex fractions. Decimal expression of a fraction & corresponding fraction of a decimal. Word problems involving fractions. Directly proportional distribution problems. Compound rule of 3. Maps and scales. |
| POWERS | POWERS | 20 pages of worksheets about powers with positive exponent review. Powers with negative exponent. Laws of indices. Combined operations with powers. Scientific notation. Operations with scientific notation. Use of the calculator in scientific notation. Compound interest |
| RADICALS | RADICALS | 24 pages of worksheets about definition of nth root. Equivalent roots. Simplification of roots. Laws of roots. Combined operations with roots. Like radicals. Classification of real numbers. Intervals. |
| SEQUENCES & PROGRESSIONS | SEQUENCES & PROGRESSIONS | 28 exercises on sequences: general term of a sequence, arithmetic and geometric progressions, sequences defined by a recurrence relation, etc. |
| POLYNOMIALS | POLYNOMIALS | 24 pages of worksheets about combined operations with monomials and polynomials, numerical value, quotients of polynomials, Ruffini’s rule, taking out a common factor, notable products... |
| 1st DEGREE EQUATIONS | EQUATIONS & SIMULTANEOUS EQUATIONS |
189 first-degree equations of all kinds, even with brackets and denominators. |
| 2nd DEGREE EQUATIONS | 206 second-degree equations of different types: with brackets, denominators, notable products, factored and factorable equations, etc. | |
| SIMULTANEOUS EQUATIONS | 100 2x2 and 3x3 simultaneous first-degree equations of all kinds, even with brackets and denominators. | |
| WORD PROBLEMS | 91 word problems leading to 1st degree equations (36 problems), 2nd degree equations (32 problems) and simultaneous equations (23 problems). | |
| FUNCTIONS | FUNCTIONS | 78 exercises concerning several topics about functions: table of values, graph, domain and codomain, intervals of increasing, relative maximums and minimums, symmetry, asymptotes, direct proportionality funtion y=mx, linear funtion y=mx+n, slope and y-intercepts, explicit form, implicit or general form & point-slope form, parabolas, hyperbolas (iInverse proportionality function), daily life problems, etc. |
| NETS of SOLIDS | GEOMETRY | Nets of common 3D-shapes: cube, prisms, cuboid, cylinder, pyramids, cone... |
| AREAS and VOLUMES | 79 exercises concerning several topics about Geometry: Pythagoras theorem, areas of triangles, quadrilaterals, regular polygons, circular shapes, area word problems, problems about volumes and surface areas of solids, volume and surface area word problems. | |
| PROBABILITY | PROBABILITY | 56 exercises on Probability: Elementary probability. Laplace’s rule. Probability of the U and ∩ of events. Probability of compound events. Probability of compound events without replacement. Dependent events. Probability using Venn diagrams, etc. |
| STATISTICS | STATISTICS | 24 exercises on Statistics: Frequencies and tables, statistical graphs, central parameters, dispersion parameters, etc. |
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