NSC Exam | Actual Exam with All 60 Verified Questions and Detailed Correct Answers | A+ Graded | 2025/2026 Edition

NSC Exam | Actual Exam with All 60 Verified
Questions and Detailed Correct Answers | A+
Graded | 2025/2026 Edition


1. Simplify: (2x3y2)3(2x3y2)3
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A) 6x9y66x9y6
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B) 8x9y68x9y6
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C) 8x6y58x6y5
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D) 2x9y62x9y6
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2. Solve for xx: 2x+1=322x+1=32
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A) x=4x=4
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B) x=5x=5
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C) x=3x=3
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D) x=6x=6
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3. The roots of x2−5x+6=0x2−5x+6=0 are:
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A) 22 and 33
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B) −2−2 and −3−3
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C) 11 and 66
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D) −1−1 and −6−6
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4. What is the gradient of the line 3y=6x−93y=6x−9?
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A) 33
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B) 66
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C) 22
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D) −3−3
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5. f(x)=3x2−4x+1f(x)=3x2−4x+1. The axis of symmetry is:
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A) x=43x=34
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B) x=23x=32
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C) x=−43x=−34
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D) x=4x=4
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6. Solve simultaneously: y=2x+1y=2x+1 and y=x2y=x2
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A) x=1,y=3x=1,y=3 only
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B) x=−1,y=−1x=−1,y=−1 and x=1,y=3x=1,y=3
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,C) No solution
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D) x=1,y=2x=1,y=2 and x=−1,y=2x=−1,y=2
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7. The sum of the first 10 terms of the arithmetic sequence 5, 9, 13, … is:
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A) 230230
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B) 140140
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C) 230230
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D) 190190
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8. The value of ∑k=15(2k−1)∑k=15(2k−1) is:
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A) 2525
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B) 3636
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C) 2020
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D) 1515
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9. If P(A)=0.4P(A)=0.4, P(B)=0.5P(B)=0.5, and AA and BB are mutually exclusive, then P(A∪B)P(A∪B
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) is:
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A) 0.20.2
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B) 0.90.9
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C) 0.10.1
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D) 0.70.7
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10. The derivative of f(x)=4x3−2xf(x)=4x3−2x is:
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A) 12x2−212x2−2
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B) 12x2+212x2+2
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C) 4x2−24x2−2
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D) 12x−212x−2
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11. The turning point of y=−2x2+8x−5y=−2x2+8x−5 is:
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A) (2,3)(2,3)
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B) (−2,−13)(−2,−13)
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C) (2,−5)(2,−5)
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D) (−2,3)(−2,3)
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12. Solve for xx: log⁡2(x)+log⁡2(x−2)=3log2(x)+log2(x−2)=3
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A) x=4x=4
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B) x=−2x=−2
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C) x=4x=4 or x=−2x=−2
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D) No solution
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*(Continuing in same style to 60 questions – let me know if you want the full 60-
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grid table for any subject: Maths, Physical Sciences, Life Sciences, etc.)*
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, Answer Key (First 12 questions):
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1. B

2. A

3. A

4. C

5. B

6. B

7. A

8. A

9. B

10. A

11. A

12. A



Option 2: Where to Download Real Official NSC Past Papers (Free)
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These are legal, official, and contain the actual 60+ questions with memo:
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Subject Source


All NSC subjects
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Maths & Sciences jh jh MathsGenius.co.za


All subjects download
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Exam papers & memos
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Would you like me to generate the remaining 48 questions + answer key for Mathematics
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Paper 1 (or any other NSC subject: Life Sciences, Physics, Accounting, Geography, etc.) in th
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e same table format?
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