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AMC 10 Mathematics 2027 Rs 799

AMC 8 Full Mock — Paper 4

AMC 8 Full Mock practice paper: 30 questions in 48 minutes covering the full syllabus, each with a full worked solution and real AMC 8 scoring.

30Questions
48Minutes
30Marks
None Negative
6-8Grades

About this test

AMC 8 Full Mock — Paper 4 is a full 30-question paper you attempt online in 48 minutes. It follows the American Mathematics Competition 10 pattern, so the timing, the question style and the marking match the real exam. There is no negative marking, so it is worth attempting every question.

You get your score the moment you submit, question by question, with a step-by-step solution to every problem. 25 questions in 75 minutes. A high score qualifies for the AIME.

What it covers

Pigeonhole principle Counting squares Clock angles Round robin Patterns Counting multiples Logic puzzles Surface area Coin combinations Overlapping groups Divisors Remainders Greatest common divisor Least common multiple Digit sums Primes Units digits Common multiples Perfect squares Sum of divisors Linear equations Percentages Averages Speed Work rates Ratios Sequences Age problems Consecutive numbers Fractions

Sections

  • Pigeonhole principle — 1 question
  • Counting squares — 1 question
  • Clock angles — 1 question
  • Round robin — 1 question
  • Patterns — 1 question
  • Counting multiples — 1 question
  • Logic puzzles — 1 question
  • Surface area — 1 question
  • Coin combinations — 1 question
  • Overlapping groups — 1 question
  • Divisors — 1 question
  • Remainders — 1 question
  • Greatest common divisor — 1 question
  • Least common multiple — 1 question
  • Digit sums — 1 question
  • Primes — 1 question
  • Units digits — 1 question
  • Common multiples — 1 question
  • Perfect squares — 1 question
  • Sum of divisors — 1 question
  • Linear equations — 1 question
  • Percentages — 1 question
  • Averages — 1 question
  • Speed — 1 question
  • Work rates — 1 question
  • Ratios — 1 question
  • Sequences — 1 question
  • Age problems — 1 question
  • Consecutive numbers — 1 question
  • Fractions — 1 question

Difficulty spread

  • 8 easy questions
  • 13 medium questions
  • 9 hard questions

A look at the questions

Q1. A drawer holds socks in $12$ different colours, all mixed up. How many socks must be taken out, without looking, to be certain of having two of the same colour?
A) 13
B) 12
C) 24
D) 14
E) 11
Q2. How many squares of any size can be found in a $6 \times 6$ square board of unit cells?
A) 36
B) 91
C) 97
D) 85
E) 72
28 more questions in the full paper, each with a worked solution.

Questions people ask

How long is this paper?

Thirty questions in forty-eight minutes, which is the same ninety-six seconds a question as the real AMC 8.

How is it scored?

One mark per correct answer, nothing for a blank or a wrong one — exactly like the real contest. Since there is no penalty, answer every question.

Are solutions included?

Yes. Every question has a worked solution that names the method, so a wrong answer tells you which technique to revise.

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