All Practice Exams

100+ Free Tokyo Metropolitan Public High School Entrance Examination — Science Practice Questions

Prepare for the Tokyo Metropolitan Public High School Entrance Examination — Science (東京都立高等学校入学者選抜 学力検査 理科) exam with instant access — no signup required.

✓ No registration✓ No credit card✓ No hidden fees✓ Start practicing immediately
100+ Questions
100% Free

Loading practice questions...

2026 Statistics

Key Facts: Tokyo Metropolitan Public High School Entrance Examination — Science Exam

Practise for the Tokyo Metropolitan Public High School Entrance Exam in Science (理科) with 100 four-option questions covering physics, chemistry, biology and earth science, including genuine worked calculations, weighted to the official 100-point, 50-minute paper sat on 令和8年2月21日(土). The official paper mixes a mark-sheet section with 記述式 answers requiring explanations and experimental reasoning, so this English-language MCQ bank drills the underlying concepts and calculations — it is not a format simulation.

Sample Tokyo Metropolitan Public High School Entrance Examination — Science Practice Questions

Try these sample questions to test your Tokyo Metropolitan Public High School Entrance Examination — Science exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1A car travels at a constant speed of 20 m/s for 30 seconds. What distance does it cover?
A.600 m
B.50 m
C.1.5 m
D.900 m
Explanation: Distance = speed × time = 20 m/s × 30 s = 600 m. Constant speed means the object covers equal distances in equal time intervals.
2An object starting from rest accelerates uniformly at 2 m/s² for 5 seconds. What is its final speed?
A.10 m/s
B.7 m/s
C.2.5 m/s
D.25 m/s
Explanation: Final speed = initial speed + acceleration × time = 0 + 2 m/s² × 5 s = 10 m/s. Uniform acceleration means velocity increases by equal amounts each second.
3A cart is released from the top of a ramp and rolls down. Ignoring friction, which statement best describes the energy change as it descends?
A.Potential energy decreases while kinetic energy increases, and their total stays constant
B.Potential energy and kinetic energy both increase
C.Potential energy and kinetic energy both decrease
D.Kinetic energy decreases while potential energy increases
Explanation: As the cart loses height, its gravitational potential energy falls, and that energy is converted into kinetic energy, so the cart speeds up. With friction ignored, the sum of the two — the mechanical energy — remains constant. This is the law of conservation of mechanical energy (力学的エネルギーの保存).
4A force of 10 N is applied to push a box 5 m along a straight horizontal surface. How much work is done by this force?
A.50 J
B.2 J
C.15 J
D.5 J
Explanation: Work = force × distance = 10 N × 5 m = 50 J. Work requires both a force and displacement in the direction of the force.
5Which statement correctly describes the relationship between the force applied to a spring and its extension, within the elastic limit?
A.Force is directly proportional to extension
B.Force is inversely proportional to extension
C.Force is independent of extension
D.Force is proportional to the square of extension
Explanation: Hooke's law states that within the elastic limit, the force applied to a spring is directly proportional to its extension (F = kx). Beyond the elastic limit the spring deforms permanently and this linear relationship no longer holds.
6A block of mass 500 g rests on a horizontal surface. What is the normal force exerted by the surface on the block? (Take g = 9.8 m/s².)
A.4.9 N
B.500 N
C.0.5 N
D.9.8 N
Explanation: Weight = mass × g = 0.5 kg × 9.8 m/s² = 4.9 N. On a horizontal surface with no vertical acceleration, the normal force equals the weight. The mass must be converted from grams to kilograms before calculating.
7The pressure at a depth h in a liquid of density ρ is given by P = ρgh. What is the pressure 2 m below the surface of water? (ρ = 1000 kg/m³, g = 9.8 m/s².)
A.19600 Pa
B.9800 Pa
C.4900 Pa
D.2000 Pa
Explanation: P = ρgh = 1000 kg/m³ × 9.8 m/s² × 2 m = 19600 Pa. Pressure in a fluid increases with depth and depends on the fluid density and gravitational acceleration.
8A battery of 6 V is connected across a resistor of 3 Ω. What current flows through the resistor?
A.2 A
B.0.5 A
C.18 A
D.9 A
Explanation: By Ohm's law, I = V/R = 6 V / 3 Ω = 2 A. Current is directly proportional to voltage and inversely proportional to resistance.
9A current of 0.5 A flows through a 12 Ω resistor. What is the voltage across it?
A.6 V
B.24 V
C.0.042 V
D.12.5 V
Explanation: By Ohm's law, V = IR = 0.5 A × 12 Ω = 6 V. The voltage across a resistor equals the product of the current through it and its resistance.
10A 4 Ω resistor and a 2 Ω resistor are connected in series. What is their combined resistance?
A.6 Ω
B.1.33 Ω
C.2 Ω
D.8 Ω
Explanation: For resistors in series, the total resistance is the sum: R = 4 Ω + 2 Ω = 6 Ω. Series connections always increase total resistance.

About the Tokyo Metropolitan Public High School Entrance Examination — Science Exam

The Tokyo Metropolitan Public High School Entrance Examination in Science (理科) tests lower-secondary graduates on physics, chemistry, biology and earth science. The general academic test (学力検査) is 共通問題 (a metropolitan-wide common paper) covering five subjects each worth 100 points (total 500, scaled ×1.4 to 700), each sat for 50 minutes on one day; for 令和8年度 (2026 admission) the 第一次募集 is 2月21日(土) with 合格者発表 on 3月2日(月). The 理科 共通問題 paper combines a mark-sheet (マークシート) section with 記述式 (constructed-response) questions that require explanations, data interpretation and experimental reasoning, so it is not a pure multiple-choice paper; 理科 is always 共通問題 (no school sets 自校作成問題 for it). Selection combines the scaled 学力検査 (700), the 調査書 (300, ratio 7:3) and the ESAT-J English speaking test (up to 20) for a 総合得点 of 1,020, with some schools applying 傾斜配点. The paper is aligned to the MEXT junior-high Course of Study (平成29年 中学校学習指導要領 理科編), calculators are not permitted, and it tests 知識・技能 plus 思考力・判断力・表現力.

Assessment

100-point paper aligned to the MEXT 理科 Course of Study, covering 物理 (25%), 化学 (25%), 生物 (25%) and 地学 (25%). The 共通問題 paper mixes a mark-sheet (マークシート) section with 記述式 answers that earn partial credit; 理科 is always 共通問題 (no school sets 自校作成問題 for it). The five academic-test subjects each carry 100 points (max 500, scaled ×1.4 to 700), all sat on one day as 共通問題; every subject runs 50 minutes. Problems are at junior-high graduation level (中学校卒業程度); calculators are not permitted. The paper tests 知識・技能 plus 思考力・判断力・表現力, including data interpretation and experimental reasoning.

Time Limit

Sat as part of the one-day five-subject 学力検査: each subject is a 100-point, 50-minute paper (500 points total, scaled to 700). For 令和8年度 (2026 admission) the 学力検査に基づく選抜 (第一次募集) is 2月21日(土), with 合格者発表 on 3月2日(月); the 推薦に基づく選抜 is 1月26日(月)・27日(火) and the 全日制第二次募集 / 追検査 is 3月10日(火). Calculators are not permitted. Source: 令和8年度東京都立高等学校入学者選抜実施要綱・同細目 / 日程, 東京都教育委員会.

Passing Score

No fixed prefecture-wide pass mark. The 理科 paper is scored out of 100 points. In the 学力検査に基づく選抜 the five subjects total 500 points and are scaled ×1.4 to 700; the 調査書 contributes 300 points (65-point junior-high 評定 expanded to 300, four practical subjects doubled) at a standard 7:3 ratio; the ESAT-J speaking test adds up to 20 for a 総合得点 of 1,020. Some schools apply 傾斜配点. Selection is competitive and relative, not against a published pass line. Source: 令和8年度東京都立高等学校入学者選抜実施要綱・同細目, 東京都教育委員会.

Exam Fee

The 入学考査料 is ¥2,200 for a 全日制 course and ¥950 for a 定時制 course, paid via the prescribed 納付書 at a Tokyo-designated financial institution (or by credit card on the internet-application site) with the receipt affixed to the 入学願書; it may be reduced or waived in cases of financial hardship. Source: 入学考査料、入学料及び授業料等の納付について (東京都教育委員会) and 令和8年度東京都立高等学校入学者選抜実施要綱・同細目. (Tokyo Metropolitan Board of Education (東京都教育委員会), 教育庁都立学校教育部高等学校教育課入学選抜担当, 〒163-8001 東京都新宿区西新宿2-8-1 都庁第二本庁舎 (TEL 03-5320-6745))

Tokyo Metropolitan Public High School Entrance Examination — Science Exam Content Outline

25%

Physics (物理)

Motion of objects, force and pressure, work and energy, electricity (voltage, current, resistance, Ohm's law, electric power), magnets, and waves, light and sound.

25%

Chemistry (化学)

States and properties of matter, atoms, molecules and ions, chemical changes and equations, acids, bases and neutralisation, pH, oxidation and reduction, and metals.

25%

Biology (生物)

Cells and the body's functions, nutrition and photosynthesis, respiration, stimuli and response, reproduction and inheritance, genes, and ecosystems and food chains.

25%

Earth Science (地学)

Earth's structure and landforms, weather and climate, the movement of celestial bodies, the solar system and stars, earthquakes and strata, and plate tectonics.

How to Pass the Tokyo Metropolitan Public High School Entrance Examination — Science Exam

What You Need to Know

  • Passing score: No fixed prefecture-wide pass mark. The 理科 paper is scored out of 100 points. In the 学力検査に基づく選抜 the five subjects total 500 points and are scaled ×1.4 to 700; the 調査書 contributes 300 points (65-point junior-high 評定 expanded to 300, four practical subjects doubled) at a standard 7:3 ratio; the ESAT-J speaking test adds up to 20 for a 総合得点 of 1,020. Some schools apply 傾斜配点. Selection is competitive and relative, not against a published pass line. Source: 令和8年度東京都立高等学校入学者選抜実施要綱・同細目, 東京都教育委員会.
  • Assessment: 100-point paper aligned to the MEXT 理科 Course of Study, covering 物理 (25%), 化学 (25%), 生物 (25%) and 地学 (25%). The 共通問題 paper mixes a mark-sheet (マークシート) section with 記述式 answers that earn partial credit; 理科 is always 共通問題 (no school sets 自校作成問題 for it). The five academic-test subjects each carry 100 points (max 500, scaled ×1.4 to 700), all sat on one day as 共通問題; every subject runs 50 minutes. Problems are at junior-high graduation level (中学校卒業程度); calculators are not permitted. The paper tests 知識・技能 plus 思考力・判断力・表現力, including data interpretation and experimental reasoning.
  • Time limit: Sat as part of the one-day five-subject 学力検査: each subject is a 100-point, 50-minute paper (500 points total, scaled to 700). For 令和8年度 (2026 admission) the 学力検査に基づく選抜 (第一次募集) is 2月21日(土), with 合格者発表 on 3月2日(月); the 推薦に基づく選抜 is 1月26日(月)・27日(火) and the 全日制第二次募集 / 追検査 is 3月10日(火). Calculators are not permitted. Source: 令和8年度東京都立高等学校入学者選抜実施要綱・同細目 / 日程, 東京都教育委員会.
  • Exam fee: The 入学考査料 is ¥2,200 for a 全日制 course and ¥950 for a 定時制 course, paid via the prescribed 納付書 at a Tokyo-designated financial institution (or by credit card on the internet-application site) with the receipt affixed to the 入学願書; it may be reduced or waived in cases of financial hardship. Source: 入学考査料、入学料及び授業料等の納付について (東京都教育委員会) and 令和8年度東京都立高等学校入学者選抜実施要綱・同細目.

Keys to Passing

  • Complete 500+ practice questions
  • Score 80%+ consistently before scheduling
  • Focus on highest-weighted sections
  • Use our AI tutor for tough concepts

Tokyo Metropolitan Public High School Entrance Examination — Science Study Tips from Top Performers

1Memorise the core formulas and do the arithmetic by hand — Ohm's law (V=IR), electric power (P=VI), work (W=Fs), speed (v=s/t) and density (ρ=m/V) all appear as calculation items.
2For 化学, master the particle model (atoms, molecules, ions) and practise balancing equations and predicting neutralisation and oxidation-reduction outcomes; know the pH scale and the litmus/phenolphthalein colour changes.
3For 生物, draw the pathways — photosynthesis and respiration as opposite reactions, the digestive and circulatory path, and inheritance from genotype to phenotype — so you can reason, not just recall.
4For 地学, keep a clear mental model of plate boundaries, the causes of earthquakes and volcanic activity, and the seasons and phases; practise reading a weather map and a star chart.
5Practise 記述式 experimental-reasoning questions: state the result, then explain it using the relevant principle — because the official paper rewards structured explanation, not just the right conclusion.
6Practise the mark-sheet (マークシート) format alongside 記述式 working — Tokyo's 共通問題 uses both — and time yourself on a full 50-minute paper.

Frequently Asked Questions

Is this question bank the same as the real Tokyo 理科 exam?

No. The official paper is worked in Japanese and combines a mark-sheet (マークシート) section with 記述式 (constructed-response) questions that require explanations, data interpretation and experimental reasoning; its exact item count is not published. This bank is an English-language multiple-choice study adaptation of the same junior-high science syllabus (物理, 化学, 生物, 地学) and cannot replace writing out explanations and experimental conclusions in Japanese.

How long is the Tokyo 理科 paper and what is it worth?

It is scored out of 100 points, one of five subjects totalling 500 points (each subject 100 points), scaled ×1.4 to 700 in the general selection. 理科 runs 50 minutes on 令和8年2月21日(土), with 合格者発表 on 3月2日(月); the 推薦 selection is 1月26日・27日 and the 第二次募集 / 追検査 is 3月10日(火).

Are calculators allowed?

No. The science paper is sat without a calculator, in line with standard metropolitan academic-test rules; Ohm's law, work, speed, density and similar calculations must be done by hand.

Does any school set its own 理科 paper?

No. 理科 and 社会 are always 共通問題 (metropolitan-wide common papers); only 国語・数学・英語 have 自校作成問題 at ten 全日制 schools. So the 理科 syllabus in this bank is the exact syllabus every Tokyo candidate sits.

How is the selection structured?

Tokyo's 学力検査に基づく選抜 combines the scaled 学力検査 (700) with the 調査書 (300, 7:3 ratio) and the ESAT-J English speaking test (up to 20) for a 総合得点 of 1,020; some schools apply 傾斜配点 and a few conduct 面接, 作文, 小論文 or 実技検査. Selection is relative to other applicants, not against a published pass line.

How much is the examination fee?

The 入学考査料 is ¥2,200 for a 全日制 course (¥950 for 定時制), paid via the prescribed 納付書 at a Tokyo-designated financial institution or by credit card on the internet-application site; it may be reduced or waived in cases of financial hardship.