For universities in China and the Chinese Government Scholarship. Practice and full mock tests show where you stand in every Math topic, then lessons and an AI tutor close the gaps.
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Mathematics
The CSCA is the test Chinese universities use for international undergraduates. Mathematics is required for every program; Physics or Chemistry for science, engineering and medicine. We start with Mathematics.
Four answer choices, one correct. No points lost for a wrong answer, so never leave one blank. Taken online, several times a year.
Sets and Inequalities
Functions
Geometry and Algebra
Probability and Statistics
Topics that come up most on the exam get the most practice, and practice always goes after your weakest topic first.
48 questions in 60 minutes, in the real paper's order, so exam day is not the first time you feel the clock.
From sets and inequalities to conic sections and sequences, each topic explained step by step, then practised.
Stuck on a question? Ask why, as many times as you need, by typing or by voice.
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Functions · Arithmetic and geometric sequences · Medium
ExampleIn an arithmetic sequence {aₙ}, a₄ = 7 and a₁₁ = 42. Then the common difference d =
Correct — nice work.
Explanation
From a₁₁ − a₄ = (11 − 4)d: 35 = 7d, so d = 5. Then a₁ = a₄ − 3d = −8.
Question 7 of 126 of 7 correct so far
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Question 4 · Functions · Arithmetic and geometric sequences
ExampleWhy do we divide by 7?
Aidar · The Strategist: calm, sharp, spots the traps.
Look at what d does: each step along the sequence adds d once. From a₄ to a₁₁ is 11 − 4 = 7 steps, so a₁₁ − a₄ = 7d.
The gap is 42 − 7 = 35. So 35 = 7d, and d = 5. The 7 is the number of steps, not the number of terms.
Aibek · The Homie: casual, warm, hypes you up.
Easy one once you see it. Every step in an arithmetic sequence adds d. Going from a₄ to a₁₁ is 11 − 4 = 7 steps, so you've added d seven times: a₁₁ − a₄ = 7d.
42 − 7 = 35, so 35 = 7d and d = 5. Locked in.
AkylAi · The Professor: precise, formal, explains the why.
In an arithmetic sequence, consecutive terms differ by exactly d. Between the fourth and the eleventh term lie 11 − 4 = 7 such differences, hence a₁₁ − a₄ = (11 − 4)d.
Substituting the values gives 42 − 7 = 35 = 7d. The division by 7 simply isolates d: d = 5.
Aigul · The Big Sister: patient, gentle, reassuring.
Good question, and you're nearly there. In this kind of sequence, every step forward adds the same amount, d. From a₄ to a₁₁ there are 11 − 4 = 7 steps, so the difference between them is 7d.
That difference is 42 − 7 = 35. So 35 = 7d, and dividing by 7 gives d = 5. Does that feel clearer?
Aizada · The Cheerleader: bubbly, high-energy, all encouragement.
Love this question! Every step in an arithmetic sequence adds d. From a₄ to a₁₁ you take 11 − 4 = 7 steps, so a₁₁ − a₄ = 7d.
42 − 7 = 35, so 35 = 7d, and d = 5. You totally have this!
Aidos · The Storyteller: explains with everyday examples.
Think of climbing stairs where every step is the same height, d. Standing on step 4 at height 7 and step 11 at height 42, you have climbed 11 − 4 = 7 steps.
The climb is 42 − 7 = 35, shared equally over 7 steps: 35 = 7d, so each step is d = 5.
Just the answer · No persona: clean, neutral, straight to the explanation.
Each term of an arithmetic sequence is the previous one plus d. From a₄ to a₁₁ there are 11 − 4 = 7 steps, so a₁₁ − a₄ = (11 − 4)d.
That gives 35 = 7d, so d = 5.
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The China Scholastic Competency Assessment is the entrance test Chinese universities use for international undergraduates, and the Chinese Government Scholarship requires it. Mathematics is required for every program; Physics or Chemistry for science, engineering and medicine.
We start with Mathematics, the one subject every program asks for. Physics and Chemistry are planned next.
Yes. Questions, explanations, the AI tutor and the whole platform are in English. The CSCA itself can be taken in English or in Chinese.
Not yet. The CSCA publishes no tables that turn answers into a score, and we won't invent one. Instead you see how ready you are in every topic, and that picture sharpens with every question you answer.
5 practice questions in every topic, 1 full mock test and 10 questions to the AI tutor. Lessons come with Pro. Free for as long as you like, no card needed.
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