CSCA Preparation Platform Free Practice, Mocks & Syllabus

Q 1/48CSCA Standardsets · Mock 16 · Q1

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$A = \{6,7,8,9,10\}$ : which is correct?

Target: ~75s · ID EXAM-G16-1

Q 2/48CSCA Standardsets · Mock 16 · Q2

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$A = \{5,6,7,8,9\}$ : which is correct?

Target: ~75s · ID EXAM-G16-2

Q 3/48CSCA Standardinequalities · Mock 16 · Q3

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$x^2-3x-4 > 0$ : solution set is

Target: ~75s · ID EXAM-G16-3

Q 4/48CSCA Standardinequalities · Mock 16 · Q4

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$a, b, c$ reals. Which is correct?

Target: ~75s · ID EXAM-G16-4

Q 5/48CSCA Standardinequalities · Mock 16 · Q5

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$x^2+8x+15 > 0$ : solution set is

Target: ~75s · ID EXAM-G16-5

Q 6/48CSCA Standarddomain-range · Mock 16 · Q6

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The domain of $y = \sqrt{x-8}$ is

Target: ~75s · ID EXAM-G16-6

Q 7/48CSCA Standarddomain-range · Mock 16 · Q7

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The domain of $y = \sqrt{x-5}$ is

Target: ~75s · ID EXAM-G16-7

Q 8/48CSCA Standarddomain-range · Mock 16 · Q8

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The domain of $y = \sqrt{x-3}$ is

Target: ~75s · ID EXAM-G16-8

Q 9/48CSCA Standardmonotonicity · Mock 16 · Q9

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Which function is strictly increasing on $(-\infty,+\infty)$ ?

Target: ~75s · ID EXAM-G16-9

Q 10/48CSCA Standardeven-odd-functions · Mock 16 · Q10

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Which is an odd function?

Target: ~75s · ID EXAM-G16-10

Q 11/48CSCA Standardpower-functions · Mock 16 · Q11

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The inverse function of $y = x^3+8$ $(x \in \mathbb{R})$ is

Target: ~75s · ID EXAM-G16-11

Q 12/48CSCA Standardexponential-functions · Mock 16 · Q12

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Given $a > b$ , which must hold?

Target: ~75s · ID EXAM-G16-12

Q 13/48CSCA Standardexponential-functions · Mock 16 · Q13

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The function $y = a^x$ is decreasing. The range of $a$ is

Target: ~75s · ID EXAM-G16-13

Q 14/48CSCA Standardlogarithmic-functions · Mock 16 · Q14

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Which logarithm statement is incorrect?

Target: ~75s · ID EXAM-G16-14

Q 15/48CSCA Standardtrigonometric-functions · Mock 16 · Q15

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$\sin\alpha = \frac{3}{5}$ , second quadrant: $\cos\alpha =$

Target: ~75s · ID EXAM-G16-15

Q 16/48CSCA Standardtrigonometric-functions · Mock 16 · Q16

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$\sin 150^\circ =$

Target: ~75s · ID EXAM-G16-16

Q 17/48CSCA Standardtrigonometric-functions · Mock 16 · Q17

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$\cos\alpha = -\frac{3}{5}$ , QII: $\cos(\frac{\alpha}{2}) =$

Target: ~75s · ID EXAM-G16-17

Q 18/48CSCA Standardtrigonometric-functions · Mock 16 · Q18

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Minimum of $y = \cos 6x + 2$ is

Target: ~75s · ID EXAM-G16-18

Q 19/48CSCA Standardtrigonometric-functions · Mock 16 · Q19

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$\cos\alpha = -\frac{7}{25}$ , QII: $\sin(\frac{\alpha}{2}) =$

Target: ~75s · ID EXAM-G16-19

Q 20/48CSCA Standardtrigonometric-functions · Mock 16 · Q20

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$\cos\alpha = \frac{5}{13}$ , acute: $\tan\alpha =$

Target: ~75s · ID EXAM-G16-20

Q 21/48CSCA Standardtrigonometric-functions · Mock 16 · Q21

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$\sin 135^\circ =$

Target: ~75s · ID EXAM-G16-21

Q 22/48CSCA Standardtrigonometric-functions · Mock 16 · Q22

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$\cos\alpha = -\frac{7}{25}$ , QII: $\cos(\frac{\alpha}{2}) =$

Target: ~75s · ID EXAM-G16-22

Q 23/48CSCA Standardtrigonometric-functions · Mock 16 · Q23

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Minimum of $y = \cos 6x + 4$ is

Target: ~75s · ID EXAM-G16-23

Q 24/48CSCA Standardinverse-functions · Mock 16 · Q24

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Inverse of $y = 10x + 4$ is

Target: ~75s · ID EXAM-G16-24

Q 25/48CSCA Standardarithmetic-sequences · Mock 16 · Q25

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Arithmetic $a_1 = -5, a_2 = -2$ : $a_5 =$

Target: ~75s · ID EXAM-G16-25

Q 26/48CSCA Standardarithmetic-sequences · Mock 16 · Q26

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Arithmetic $a_1 = 1$ , $d = -2$ : then $a_{50} =$

Target: ~75s · ID EXAM-G16-26

Q 27/48CSCA Standardarithmetic-sequences · Mock 16 · Q27

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How many are arithmetic: $9,8,7,6$ · $2,4,7,11$ · $3,3,3,3$ · $2,4,8,16$ ?

Target: ~75s · ID EXAM-G16-27

Q 28/48CSCA Standardarithmetic-sequences · Mock 16 · Q28

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$14, a, 18$ arithmetic: $a =$

Target: ~75s · ID EXAM-G16-28

Q 29/48CSCA Standardgeometric-sequences · Mock 16 · Q29

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Geometric $1,5,25$ : general term is

Target: ~75s · ID EXAM-G16-29

Q 30/48CSCA Standardgeometric-sequences · Mock 16 · Q30

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$\frac{1}{2}, -\frac{1}{4}, \frac{1}{8}, \ldots$ : $a_n =$

Target: ~75s · ID EXAM-G16-30

Q 31/48CSCA Standardgeometric-sequences · Mock 16 · Q31

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Geometric $1,4,16$ : general term is

Target: ~75s · ID EXAM-G16-31

Q 32/48CSCA Standardlines · Mock 16 · Q32

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Slope $-2$ through $(-2,-3)$ : equation is

Target: ~75s · ID EXAM-G16-32

Q 33/48CSCA Standardlines · Mock 16 · Q33

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Inclination $30^\circ$ : slope is

Target: ~75s · ID EXAM-G16-33

Q 34/48CSCA Standardlines · Mock 16 · Q34

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Intersection of $y = -x-1$ and $-2x-y-3 = 0$ :

Target: ~75s · ID EXAM-G16-34

Q 35/48CSCA Standardlines · Mock 16 · Q35

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Which line is perpendicular to $-x-8 = 0$ ?

Target: ~75s · ID EXAM-G16-35

Q 36/48CSCA Standardlines · Mock 16 · Q36

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Slope through $A(-2,0)$ , $B(-3,-4)$ :

Target: ~75s · ID EXAM-G16-36

Q 37/48CSCA Standardanalytic-geometry · Mock 16 · Q37

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Which point is in the third quadrant?

Target: ~75s · ID EXAM-G16-37

Q 38/48CSCA Standardanalytic-geometry · Mock 16 · Q38

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$P(3,5)$ ; Q symmetric about the x-axis: Q =

Target: ~75s · ID EXAM-G16-38

Q 39/48CSCA Standardanalytic-geometry · Mock 16 · Q39

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Distance $P(-2,2)$ to $Q(-7,6)$ is

Target: ~75s · ID EXAM-G16-39

Q 40/48CSCA Standardcircles · Mock 16 · Q40

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Circle center $(-5,4)$ , radius 2: equation is

Target: ~75s · ID EXAM-G16-40

Q 41/48CSCA Standardcircles · Mock 16 · Q41

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Circle center $(5,2)$ , radius 2: equation is

Target: ~75s · ID EXAM-G16-41

Q 42/48CSCA Standardparabolas · Mock 16 · Q42

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About parabola $y^2 = 4x$ , which is correct?

Target: ~75s · ID EXAM-G16-42

Q 43/48CSCA Standardparabolas · Mock 16 · Q43

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About parabola $y^2 = 36x$ , which is correct?

Target: ~75s · ID EXAM-G16-43

Q 44/48CSCA Standardellipses · Mock 16 · Q44

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About ellipse $\frac{x^2}{25}+\frac{y^2}{9} = 1$ , correct is

Target: ~75s · ID EXAM-G16-44

Q 45/48CSCA Standardhyperbolas · Mock 16 · Q45

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Foci of $\frac{x^2}{64} - \frac{y^2}{36} = 1$ are

Target: ~75s · ID EXAM-G16-45

Q 46/48CSCA Standardprobability · Mock 16 · Q46

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A fair die rolled once. $P(\ ext{even}) =$

Target: ~75s · ID EXAM-G16-46

Q 47/48CSCA Standardvectors · Mock 16 · Q47

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$a = (3,6)$ , $b = (9,18)$ : a and b are

Target: ~75s · ID EXAM-G16-47

Q 48/48CSCA Standardcomplex-numbers · Mock 16 · Q48

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$z^3 = 1$ , $z \ne 1$ : $1+z+\cdots+z^{999} =$

Target: ~75s · ID EXAM-G16-48

Mock 16 paper

A={6,7,8,9,10}A = \{6,7,8,9,10\}A={6,7,8,9,10}: which is correct?

A={5,6,7,8,9}A = \{5,6,7,8,9\}A={5,6,7,8,9}: which is correct?

x2−3x−4>0x^2-3x-4 > 0x2−3x−4>0: solution set is

a,b,ca, b, ca,b,c reals. Which is correct?

x2+8x+15>0x^2+8x+15 > 0x2+8x+15>0: solution set is

The domain of y=x−8y = \sqrt{x-8}y=x−8​ is

The domain of y=x−5y = \sqrt{x-5}y=x−5​ is

The domain of y=x−3y = \sqrt{x-3}y=x−3​ is

Which function is strictly increasing on (−∞,+∞)(-\infty,+\infty)(−∞,+∞) ?

Which is an odd function?

The inverse function of y=x3+8y = x^3+8y=x3+8 (x∈R)(x \in \mathbb{R})(x∈R) is

Given a>ba > ba>b , which must hold?

The function y=axy = a^xy=ax is decreasing. The range of aaa is

Which logarithm statement is incorrect?

sin⁡α=35\sin\alpha = \frac{3}{5}sinα=53​, second quadrant: cos⁡α=\cos\alpha =cosα=

sin⁡150∘=\sin 150^\circ =sin150∘=

cos⁡α=−35\cos\alpha = -\frac{3}{5}cosα=−53​, QII: cos⁡(α2)=\cos(\frac{\alpha}{2}) =cos(2α​)=

Minimum of y=cos⁡6x+2y = \cos 6x + 2y=cos6x+2 is

cos⁡α=−725\cos\alpha = -\frac{7}{25}cosα=−257​, QII: sin⁡(α2)=\sin(\frac{\alpha}{2}) =sin(2α​)=

cos⁡α=513\cos\alpha = \frac{5}{13}cosα=135​, acute: tan⁡α=\tan\alpha =tanα=

sin⁡135∘=\sin 135^\circ =sin135∘=

cos⁡α=−725\cos\alpha = -\frac{7}{25}cosα=−257​, QII: cos⁡(α2)=\cos(\frac{\alpha}{2}) =cos(2α​)=

Minimum of y=cos⁡6x+4y = \cos 6x + 4y=cos6x+4 is

Inverse of y=10x+4y = 10x + 4y=10x+4 is

Arithmetic a1=−5,a2=−2a_1 = -5, a_2 = -2a1​=−5,a2​=−2: a5=a_5 =a5​=

Arithmetic a1=1a_1 = 1a1​=1, d=−2d = -2d=−2: then a50=a_{50} =a50​=

How many are arithmetic: 9,8,7,69,8,7,69,8,7,6 · 2,4,7,112,4,7,112,4,7,11 · 3,3,3,33,3,3,33,3,3,3 · 2,4,8,162,4,8,162,4,8,16 ?

14,a,1814, a, 1814,a,18 arithmetic: a=a =a=

Geometric 1,5,251,5,251,5,25: general term is

12,−14,18,…\frac{1}{2}, -\frac{1}{4}, \frac{1}{8}, \ldots21​,−41​,81​,…: an=a_n =an​=

Geometric 1,4,161,4,161,4,16: general term is

Slope −2-2−2 through (−2,−3)(-2,-3)(−2,−3): equation is

Inclination 30∘30^\circ30∘: slope is

Intersection of y=−x−1y = -x-1y=−x−1 and −2x−y−3=0-2x-y-3 = 0−2x−y−3=0:

Which line is perpendicular to −x−8=0-x-8 = 0−x−8=0 ?

Slope through A(−2,0)A(-2,0)A(−2,0) , B(−3,−4)B(-3,-4)B(−3,−4):

Which point is in the third quadrant?

P(3,5)P(3,5)P(3,5); Q symmetric about the x-axis: Q =

Distance P(−2,2)P(-2,2)P(−2,2) to Q(−7,6)Q(-7,6)Q(−7,6) is

Circle center (−5,4)(-5,4)(−5,4), radius 2: equation is

Circle center (5,2)(5,2)(5,2), radius 2: equation is

About parabola y2=4xy^2 = 4xy2=4x, which is correct?

About parabola y2=36xy^2 = 36xy2=36x, which is correct?

About ellipse x225+y29=1\frac{x^2}{25}+\frac{y^2}{9} = 125x2​+9y2​=1, correct is

Foci of x264−y236=1\frac{x^2}{64} - \frac{y^2}{36} = 164x2​−36y2​=1 are

A fair die rolled once. P( exteven)=P(\ ext{even}) =P( exteven)=

a=(3,6)a = (3,6)a=(3,6), b=(9,18)b = (9,18)b=(9,18): a and b are

z3=1z^3 = 1z3=1, z≠1z \ne 1z=1: 1+z+⋯+z999=1+z+\cdots+z^{999} =1+z+⋯+z999=

$A = \{6,7,8,9,10\}$ : which is correct?

$A = \{5,6,7,8,9\}$ : which is correct?

$x^2-3x-4 > 0$ : solution set is

$a, b, c$ reals. Which is correct?

$x^2+8x+15 > 0$ : solution set is

The domain of $y = \sqrt{x-8}$ is

The domain of $y = \sqrt{x-5}$ is

The domain of $y = \sqrt{x-3}$ is

Which function is strictly increasing on $(-\infty,+\infty)$ ?

The inverse function of $y = x^3+8$ $(x \in \mathbb{R})$ is

Given $a > b$ , which must hold?

The function $y = a^x$ is decreasing. The range of $a$ is

$\sin\alpha = \frac{3}{5}$ , second quadrant: $\cos\alpha =$

$\sin 150^\circ =$

$\cos\alpha = -\frac{3}{5}$ , QII: $\cos(\frac{\alpha}{2}) =$

Minimum of $y = \cos 6x + 2$ is

$\cos\alpha = -\frac{7}{25}$ , QII: $\sin(\frac{\alpha}{2}) =$

$\cos\alpha = \frac{5}{13}$ , acute: $\tan\alpha =$

$\sin 135^\circ =$

$\cos\alpha = -\frac{7}{25}$ , QII: $\cos(\frac{\alpha}{2}) =$

Minimum of $y = \cos 6x + 4$ is

Inverse of $y = 10x + 4$ is

Arithmetic $a_1 = -5, a_2 = -2$ : $a_5 =$

Arithmetic $a_1 = 1$ , $d = -2$ : then $a_{50} =$

How many are arithmetic: $9,8,7,6$ · $2,4,7,11$ · $3,3,3,3$ · $2,4,8,16$ ?

$14, a, 18$ arithmetic: $a =$

Geometric $1,5,25$ : general term is

$\frac{1}{2}, -\frac{1}{4}, \frac{1}{8}, \ldots$ : $a_n =$

Geometric $1,4,16$ : general term is

Slope $-2$ through $(-2,-3)$ : equation is

Inclination $30^\circ$ : slope is

Intersection of $y = -x-1$ and $-2x-y-3 = 0$ :

Which line is perpendicular to $-x-8 = 0$ ?

Slope through $A(-2,0)$ , $B(-3,-4)$ :

$P(3,5)$ ; Q symmetric about the x-axis: Q =

Distance $P(-2,2)$ to $Q(-7,6)$ is

Circle center $(-5,4)$ , radius 2: equation is

Circle center $(5,2)$ , radius 2: equation is

About parabola $y^2 = 4x$ , which is correct?

About parabola $y^2 = 36x$ , which is correct?

About ellipse $\frac{x^2}{25}+\frac{y^2}{9} = 1$ , correct is

Foci of $\frac{x^2}{64} - \frac{y^2}{36} = 1$ are

A fair die rolled once. $P(\ ext{even}) =$

$a = (3,6)$ , $b = (9,18)$ : a and b are

$z^3 = 1$ , $z \ne 1$ : $1+z+\cdots+z^{999} =$