IMAT Mathematics questions

Sample Mathematics practice questions

1. 1Circle and circumference · IMAT Doutor

   What is the length of an arc subtending $90^{\circ }$ at the centre of a circle of radius 4 cm?
   1. A$4\pi$ cm
   2. B$8\pi$ cm
   3. C$\pi$ cm
   4. D$16\pi$ cm
   5. E$2\pi$ cm
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2. 2Algebraic equations · IMAT Doutor

   In what ratio must a 20% salt solution be mixed with a 50% solution to obtain a 30% solution?
   1. A1 : 2
   2. B3 : 1
   3. C2 : 1
   4. D1 : 3
   5. E1 : 1
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3. 3Algebraic equations · IMAT Doutor

   A car travels 120 km at 60 km/h and returns along the same road at 40 km/h. What is its average speed for the whole journey?
   1. A48 km/h
   2. B50 km/h
   3. C45 km/h
   4. D52 km/h
   5. E100 km/h
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4. 4Factorisation of polynomials · IMAT Doutor

   Which of these cannot be factorised into linear factors with real coefficients?
   1. A$x^2-1$
   2. B$x^2-2x$
   3. C$x^2+2x+1$
   4. D$x^2-4$
   5. E$x^2+1$
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5. 5Logarithms, composite and inverse functions · IMAT Doutor

   In general, what is the sum of an even function and an odd function?
   1. AAlways even
   2. BAlways odd
   3. CAlways constant
   4. DAlways zero
   5. ENeither even nor odd
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