Toyama Prefectural Public High School Entrance Examination - Mathematics study guide
Toyama Prefectural Public High School Entrance Examination - Mathematics · Work through your exam, one topic at a time.
The Toyama Prefectural Public High School Entrance Examination in Mathematics (富山県公立高等学校入学者選抜 数学) is the mathematics paper taken by students applying to prefectural public high schools in Toyama. It is a school-admission test, not a professional certification: candidates are usually third-year junior high students, and the score contributes to a broader selection that also weighs school records, interviews, and other components set by the prefecture and each school. The Toyama Prefectural Public High School Entrance Examination - Mathematics study guide has 6 sections and about 1,542 words.
01Numbers and Algebraic Expressions
This domain covers integer and decimal arithmetic, square roots, and the manipulation of algebraic expressions built from variables. You should be fluent in the order of operations, sign rules for negative numbers, and the distributive law, since almost every later topic leans on them.
219 words, about 1 min02Equations and Inequalities
Here you solve linear equations, simultaneous equations, and quadratic equations, and you interpret inequalities on the number line. The unifying idea is that operations applied equally to both sides preserve equality, and that inequalities behave the same way except when multiplying or dividing by a negative number.
268 words, about 1 min03Functions and Graphs
This domain concerns proportional and inverse-proportional relationships, linear functions, and quadratic functions, together with their graphs. You must connect an equation, a table, and a graph, and read features such as slope and intercept from any of them.
283 words, about 1 min04Geometry (Plane and Solid Figures)
Geometry questions test angle relationships, properties of triangles and quadrilaterals, circle theorems, congruence and similarity, and the measurement of plane and solid figures. Use angle facts: angles on a straight line sum to 180°, angles at a point to 360°, and alternate and corresponding angles formed by parallel lines are equal.
274 words, about 1 min05Data Handling and Probability
This domain covers organising data, computing representative values, reading graphs, and calculating probabilities of simple events. Find the mean, median, and mode, and understand which is affected by extreme values (the mean is; the median is not).
239 words, about 1 min06Mathematical Reasoning and Problem Solving
This domain asks you to explain why a statement is true or false, to prove simple claims, and to solve multi-step word problems by translating them into equations. Distinguish a conjecture from a proof; a single counterexample disproves a general statement.
259 words, about 1 min