Diagnose
Every student takes a levelled diagnostic across maths, logic, coding, AI, science and robotics. You get a per topic map of where the cohort actually stands.
See the assessment framework →Free practice
Curated by NASCA's curriculum team across Primary, Middle and Senior school. Filter by level or topic, reveal answers, or download the full branded PDF.
The bank
What is the next number? 2, 4, 8, 16, ___
If all bloops are zaps and all zaps are flips, are all bloops flips?
A pizza is cut into 8 equal slices. You eat 3. What fraction is left?
Which state of matter has a definite shape and volume?
In Scratch, which block makes a sprite move 10 steps?
What is 25% of 80?
True or false: a computer can 'see' a cat in a photo without being told what a cat is.
I am thinking of a number. Half of it is 9. What is the number?
What gas do plants take in during photosynthesis?
A robot turns 90° four times. How many degrees is that in total?
How many sides does a hexagon have?
What does a 'loop' do in code?
What is 144 ÷ 12?
Name one everyday device that uses voice recognition.
Which planet is closest to the Sun?
Solve for x: 3x + 7 = 22
Five houses in a row. The red house is left of the green. The green is left of the blue. Where is the green?
What is the output? `for i in range(3): print(i)`
What is 'training data' in machine learning?
What is the area of a triangle with base 10 and height 6?
What is Newton's Third Law?
A wheel of radius 3 cm rotates once. How far does the robot move?
What is the smallest prime number greater than 30?
What does the variable 'n' equal after: `n = 10; n = n + 5; n = n * 2;` ?
Give an example of a 'classification' problem.
If today is Wednesday, what day will it be 100 days from now?
Express 0.625 as a fraction in simplest form.
What is the chemical formula for water?
What data structure follows Last-In-First-Out (LIFO)?
What does 'overfitting' mean?
Find the mean of: 4, 8, 6, 10, 12.
Name the three components of a feedback control loop.
How many ways can you arrange the letters of CAT?
What organelle is the powerhouse of the cell?
What is the time complexity of binary search?
Differentiate f(x) = 3x² + 5x − 2.
Explain the difference between supervised and unsupervised learning in one sentence each.
What is the worst-case time complexity of quicksort?
Evaluate ∫(2x + 1) dx from 0 to 3.
Why do transformers use attention instead of recurrence?
State the first law of thermodynamics.
Negate: ∀x ∈ ℝ, x² ≥ 0.
What does the SQL query `SELECT COUNT(DISTINCT user_id) FROM orders;` return?
Solve: log₂(x) + log₂(x − 2) = 3.
What is gradient descent?
What is SLAM in robotics?
Balance the equation: C₃H₈ + O₂ → CO₂ + H₂O.
Find the determinant of [[1, 2], [3, 4]].
Explain a hash collision and one way to handle it.
What is the difference between precision and recall?
Olympiad readiness
Practice questions are the warm up. Students who place well train through the year: weekly reasoning practice, a build project they can defend, and a teacher who has been coached to run the room. Here is how NASCA gets a cohort ready.
Every student takes a levelled diagnostic across maths, logic, coding, AI, science and robotics. You get a per topic map of where the cohort actually stands.
See the assessment framework →Live online sessions across the eleven specialisations, one hour a week, with the reasoning drills and build tasks that Olympiad papers reward.
Student programmes →Your teachers train alongside the students, so the practice keeps running between our sessions and continues after the season closes.
Expo and competition training →Five levels, ten topics, fully worked solutions, plus a teacher answer key. One-time licence per school.