A ribbon is 11 blocks long. A second is 3 blocks shorter. A third is 2 blocks longer than the second. How long is the third, in blocks?
Show answer and explanation
Answer: 10
First subtract to get 8 blocks; add 2 to get 10.
LEARN · PRACTISE · CHALLENGE YOURSELF
Olympiad quiz practice for Classes 1–12
Try original class-specific maths, science, English and reasoning challenges, with explanations, timed quizzes and topic practice.
Preparing for a SOF olympiad? These are independent practice questions, not official SOF papers or a complete mock of any particular exam. Check your exam’s current syllabus and pattern on the official SOF website.
How to practise for an olympiad
- Choose your own class. Start with a topic you have already studied.
- Solve without guessing, then compare your reasoning with the explanation.
- Retry missed questions before moving to a timed challenge.
- Use full-topic mode to visit every topic listed in the selected subject.
Challenge and Achiever offer different maths tiers. Science, English and reasoning currently share questions between the tiers; many topics have a small question pool. QuizQuest’s mixed sets do not reproduce official section counts or previous-class weighting.
Class 1 olympiad practice
Mathematics topics available: Number sense and place value, Addition and subtraction, Length and comparisons, Weight and capacity, Time and calendar, Money, Shapes and geometry.
Start Class 1 challenge →The repeating pattern is circle, square, triangle, circle, square, triangle, … . What numbered position after 6 is the next triangle?
Show answer and explanation
Answer: 9
Triangles appear at positions 3, 6, 9, … . The next one after a multiple of 3 is three places later.
Class 2 olympiad practice
Mathematics topics available: Number sense and place value, Addition and subtraction, Multiplication and division, Length and comparisons, Weight and capacity, Time and calendar, Money, Shapes and geometry, Data handling and pictographs, Temperature.
Start Class 2 challenge →3 trays each hold 4 cakes. 4 cakes are sold and the rest are packed equally into 4 boxes. How many cakes are in each box?
Show answer and explanation
Answer: 2
There are 12 cakes; 8 remain. Divide by 4: 2.
There are 8 children in a line. Ria is 3th from the front. How many children stand behind her?
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Answer: 5
Exclude Ria and those before her: 8−3=5.
Class 3 olympiad practice
Mathematics topics available: Number sense and place value, Addition and subtraction, Multiplication and division, Length and comparisons, Weight and capacity, Time and calendar, Money, Shapes and geometry, Fractions, Data handling and pictographs, Temperature.
Start Class 3 challenge →3 trays each hold 5 cakes. 5 cakes are sold and the rest are packed equally into 5 boxes. How many cakes are in each box?
Show answer and explanation
Answer: 2
There are 15 cakes; 10 remain. Divide by 5: 2.
Every letter is shifted 1 place(s) forward in the alphabet, wrapping after Z. How is CAT coded?
Show answer and explanation
Answer: DBU
Move C, A and T forward 1 positions each; preserve their order.
Class 4 olympiad practice
Mathematics topics available: Number sense and place value, Addition and subtraction, Multiplication and division, Length and comparisons, Weight and capacity, Time and calendar, Money, Shapes and geometry, Fractions, Perimeter and area, Symmetry, Data handling and pictographs.
Start Class 4 challenge →3 trays each hold 6 cakes. 6 cakes are sold and the rest are packed equally into 6 boxes. How many cakes are in each box?
Show answer and explanation
Answer: 2
There are 18 cakes; 12 remain. Divide by 6: 2.
A child walks 2 m east, 4 m north, then 2 m west. In which direction is the child from the start?
Show answer and explanation
Answer: North
The east and west movements cancel. Only a northward displacement remains.
Class 5 olympiad practice
Mathematics topics available: Number sense and place value, Addition and subtraction, Multiplication and division, Length and comparisons, Weight and capacity, Time and calendar, Money, Shapes and geometry, Fractions and decimals, Perimeter and area, Symmetry, Data handling and pictographs, Temperature, Angles, Decimals and conversions.
Start Class 5 challenge →3 trays each hold 7 cakes. 7 cakes are sold and the rest are packed equally into 7 boxes. How many cakes are in each box?
Show answer and explanation
Answer: 2
There are 21 cakes; 14 remain. Divide by 7: 2.
Every blue counter is round. Some round counters are large. Which statement must follow?
Show answer and explanation
Answer: Every blue counter is round
The second statement does not tell whether the large round counters are blue. Only the stated inclusion is certain.
Class 6 olympiad practice
Mathematics topics available: Patterns in Mathematics, Lines and Angles, Number Play, Data Handling and Presentation, Prime Time, Perimeter and Area, Fractions, Playing with Constructions, Symmetry, The Other Side of Zero.
Start Class 6 challenge →The two-digit number 3x is divisible by 3 and by 5. Here x is its ones digit. What is x?
Show answer and explanation
Answer: 0
The ones digit must be 0 or 5; the digit sum must be divisible by 3.
A club has 10 members. 6 play chess, 6 play badminton and 2 play neither. How many play both?
Show answer and explanation
Answer: 4
At least one game: 10−2=8. Both = 6+6−8=4.
Class 7 olympiad practice
Mathematics topics available: Large Numbers Around Us, Arithmetic Expressions, Expressions using Letter-Numbers, Lines and Angles, Number Play, Triangles, Congruence of Triangles, Fractions, Decimals, Integers, Factors and Multiples, Data Handling, Constructions and Tilings, Simple Equations.
Start Class 7 challenge →A square has side (x + 2) cm. A rectangle is x cm by (x + 4) cm. How much larger is the square’s area, in cm²?
Show answer and explanation
Answer: 4
(x+2)² − x(x+4) = 4.
A 2×2 grid is shown as [A B; C D], with the first pair on the top row. After reflection in a VERTICAL mirror line, what is the grid?
Show answer and explanation
Answer: [B A; D C]
A vertical reflection exchanges left and right within each row; it does not exchange the top and bottom rows.
Class 8 olympiad practice
Mathematics topics available: A Square and A Cube, Exponents and Powers, A Story of Numbers, Quadrilaterals, Number Play, We Distribute, Yet Things Multiply, Proportional Reasoning, Fractions in Disguise, The Baudhayana–Pythagoras Theorem, Exploring Some Geometric Themes, Data Handling, Algebra Play, Area.
Start Class 8 challenge →A number lies exactly halfway between −2/3 and 2/6. Find it.
Show answer and explanation
Answer: -1/6
The mean is (−2/3 + 2/6)/2 = −2/12.
Find the next term: 2, 5, 11, 23, __.
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Answer: 47
Each step doubles the previous term and adds 1.
Class 9 olympiad practice
Mathematics topics available: Number Systems, Polynomials, Algebraic Identities, Coordinate Geometry, Linear Equations in Two Variables, Introduction to Euclid’s Geometry, Lines and Angles, Sequences and Progressions, Triangles, Quadrilaterals, Areas of Parallelograms and Triangles, Circles, Area and Perimeter, Constructions, Surface Areas and Volumes, Statistics, Introduction to Probability.
Start Class 9 challenge →If x + 1/x = 4, find x² + 1/x².
Show answer and explanation
Answer: 14
Square both sides: x²+2+1/x²=16; subtract 2.
A is 3th from the front. B is 10th from the front and 5th from the back. How many people are strictly between A and B?
Show answer and explanation
Answer: 6
Their front ranks differ by 7, so 6 people stand between them. B's back rank is not needed.
Class 10 olympiad practice
Mathematics topics available: Real Numbers, Polynomials, Pair of Linear Equations in Two Variables, Quadratic Equations, Arithmetic Progressions, Triangles, Coordinate Geometry, Introduction to Trigonometry, Some Applications of Trigonometry, Circles, Areas Related to Circles, Surface Areas and Volumes, Statistics, Probability.
Start Class 10 challenge →For what value of k do kx + 2y = 2 and 6x + 4y = 5 have NO solution?
Show answer and explanation
Answer: 3
For parallel distinct lines, k/6 = 2/4 but the constants have a different ratio. Thus k=3.
In a code, letters in odd positions move 1 place(s) forward and letters in even positions move 1 place(s) backward, wrapping around the alphabet. Encode LAMP.
Show answer and explanation
Answer: MZNO
Count positions from 1. Apply the alternating forward/backward rule separately to each letter.
Class 11 olympiad practice
Mathematics topics available: Sets, Relations and Functions, Logarithms, Principle of Mathematical Induction, Complex Numbers and Quadratic Equations, Linear Inequalities, Sequences and Series, Trigonometry, Straight Lines, Conic Sections, Permutations and Combinations, Binomial Theorem, Statistics, Limits and Derivatives, Probability, Introduction to 3-D Geometry.
Start Class 11 challenge →For x>0, log₂ x + log₂(x/4) = 4. Find log₂ x.
Show answer and explanation
Answer: 3
Let y=log₂x. Then y+(y−2)=4; y=3.
A walker moves 6 m east, 8 m north, 2 m west and 2 m east. What is the straight-line distance from the start, in metres?
Show answer and explanation
Answer: 10
The last two moves cancel. Net displacement has perpendicular components 6 and 8; Pythagoras gives 10.
Class 12 olympiad practice
Mathematics topics available: Relations and Functions, Inverse Trigonometric Functions, Matrices, Determinants, Continuity and Differentiability, Application of Derivatives, Integrals, Application of Integrals, Differential Equations, Vector Algebra, Three Dimensional Geometry, Linear Programming, Probability.
Start Class 12 challenge →A=[[1,2],[0,1]]. What is the upper-right entry of A³?
Show answer and explanation
Answer: 6
Write A=I+N with N²=0. A³=I+3N.
Either P or Q is true, but not both. If Q is true, R is true. R is false. Which statement must hold?
Show answer and explanation
Answer: P is true and Q is false
By contraposition of Q⇒R, ¬R⇒¬Q. Exclusive OR then requires P.
Build understanding before speed
A time limit helps you notice slow steps, but review matters more than a single score. Explain why each incorrect option fails and keep a short list of concepts to revise.