CSCA Preparation Platform Free Practice, Mocks & Syllabus

Q 1/48CSCA Standardsets · Mock 14 · Q1

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$A = \{7,8,9,10,11\}$ : which is correct?

Target: ~75s · ID EXAM-G14-1

Q 2/48CSCA Standardsets · Mock 14 · Q2

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$A = \{x|1<x<3\}$ , $B = \{x|x>2\}$ : $A \cap B =$

Target: ~75s · ID EXAM-G14-2

Q 3/48CSCA Standardinequalities · Mock 14 · Q3

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$x^2+1x-2 > 0$ : solution set is

Target: ~75s · ID EXAM-G14-3

Q 4/48CSCA Standardinequalities · Mock 14 · Q4

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

Target: ~75s · ID EXAM-G14-4

Q 5/48CSCA Standardinequalities · Mock 14 · Q5

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$x^2-4x-5 > 0$ : solution set is

Target: ~75s · ID EXAM-G14-5

Q 6/48CSCA Standarddomain-range · Mock 14 · Q6

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The domain of $f(x) = \frac{1}{x} + \sqrt{3-x}$ is

Target: ~75s · ID EXAM-G14-6

Q 7/48CSCA Standarddomain-range · Mock 14 · Q7

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

Target: ~75s · ID EXAM-G14-7

Q 8/48CSCA Standarddomain-range · Mock 14 · Q8

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The domain of $y = \frac{1}{x-8}$ is

Target: ~75s · ID EXAM-G14-8

Q 9/48CSCA Standardmonotonicity · Mock 14 · Q9

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

Target: ~75s · ID EXAM-G14-9

Q 10/48CSCA Standardeven-odd-functions · Mock 14 · Q10

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Which is an odd function?

Target: ~75s · ID EXAM-G14-10

Q 11/48CSCA Standardpower-functions · Mock 14 · Q11

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The inverse function of $y = x^3+9$ $(x \in \mathbb{R})$ is

Target: ~75s · ID EXAM-G14-11

Q 12/48CSCA Standardexponential-functions · Mock 14 · Q12

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Given $a > b$ , which must hold?

Target: ~75s · ID EXAM-G14-12

Q 13/48CSCA Standardexponential-functions · Mock 14 · Q13

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

Target: ~75s · ID EXAM-G14-13

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

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Which logarithm statement is incorrect?

Target: ~75s · ID EXAM-G14-14

Q 15/48CSCA Standardtrigonometric-functions · Mock 14 · Q15

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

Target: ~75s · ID EXAM-G14-15

Q 16/48CSCA Standardtrigonometric-functions · Mock 14 · Q16

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$\sin 120^\circ =$

Target: ~75s · ID EXAM-G14-16

Q 17/48CSCA Standardtrigonometric-functions · Mock 14 · Q17

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Minimum of $y = \cos 8x + 5$ is

Target: ~75s · ID EXAM-G14-17

Q 18/48CSCA Standardtrigonometric-functions · Mock 14 · Q18

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$\sin\alpha = \frac{5}{13}$ , second quadrant: $\cos\alpha =$

Target: ~75s · ID EXAM-G14-18

Q 19/48CSCA Standardtrigonometric-functions · Mock 14 · Q19

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

Target: ~75s · ID EXAM-G14-19

Q 20/48CSCA Standardtrigonometric-functions · Mock 14 · Q20

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Which reduction equation is incorrect?

Target: ~75s · ID EXAM-G14-20

Q 21/48CSCA Standardtrigonometric-functions · Mock 14 · Q21

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$\sin\alpha = \frac{1}{4}$ : $\cos 2\alpha =$

Target: ~75s · ID EXAM-G14-21

Q 22/48CSCA Standardtrigonometric-functions · Mock 14 · Q22

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Minimum of $y = \cos 6x + 7$ is

Target: ~75s · ID EXAM-G14-22

Q 23/48CSCA Standardtrigonometric-functions · Mock 14 · Q23

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$\sin\alpha = \frac{8}{17}$ , second quadrant: $\cos\alpha =$

Target: ~75s · ID EXAM-G14-23

Q 24/48CSCA Standardinverse-functions · Mock 14 · Q24

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Inverse of $y = 10x + 9$ is

Target: ~75s · ID EXAM-G14-24

Q 25/48CSCA Standardarithmetic-sequences · Mock 14 · Q25

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Arithmetic with $a_7 = 6$ : $S_{13} =$

Target: ~75s · ID EXAM-G14-25

Q 26/48CSCA Standardarithmetic-sequences · Mock 14 · Q26

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Arithmetic $a_1 = 6$ , $d = 1$ : then $a_{50} =$

Target: ~75s · ID EXAM-G14-26

Q 27/48CSCA Standardarithmetic-sequences · Mock 14 · Q27

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$0, a, 6$ arithmetic: $a =$

Target: ~75s · ID EXAM-G14-27

Q 28/48CSCA Standardarithmetic-sequences · Mock 14 · Q28

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Arithmetic $a_1 = -8, a_2 = -7$ : $a_5 =$

Target: ~75s · ID EXAM-G14-28

Q 29/48CSCA Standardgeometric-sequences · Mock 14 · Q29

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Geometric $1,3,9$ : general term is

Target: ~75s · ID EXAM-G14-29

Q 30/48CSCA Standardgeometric-sequences · Mock 14 · Q30

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

Target: ~75s · ID EXAM-G14-30

Q 31/48CSCA Standardgeometric-sequences · Mock 14 · Q31

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

Target: ~75s · ID EXAM-G14-31

Q 32/48CSCA Standardlines · Mock 14 · Q32

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Inclination $60^\circ$ : slope is

Target: ~75s · ID EXAM-G14-32

Q 33/48CSCA Standardlines · Mock 14 · Q33

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Which line is perpendicular to $2x+9 = 0$ ?

Target: ~75s · ID EXAM-G14-33

Q 34/48CSCA Standardlines · Mock 14 · Q34

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Slope $4$ through $(-5,-3)$ : equation is

Target: ~75s · ID EXAM-G14-34

Q 35/48CSCA Standardlines · Mock 14 · Q35

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

Target: ~75s · ID EXAM-G14-35

Q 36/48CSCA Standardlines · Mock 14 · Q36

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Slope through $A(5,5)$ , $B(8,2)$ :

Target: ~75s · ID EXAM-G14-36

Q 37/48CSCA Standardanalytic-geometry · Mock 14 · Q37

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Which point is in the third quadrant?

Target: ~75s · ID EXAM-G14-37

Q 38/48CSCA Standardanalytic-geometry · Mock 14 · Q38

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Distance $P(3,-1)$ to $Q(4,-5)$ is

Target: ~75s · ID EXAM-G14-38

Q 39/48CSCA Standardanalytic-geometry · Mock 14 · Q39

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Distance $P(3,2)$ to $Q(0,4)$ is

Target: ~75s · ID EXAM-G14-39

Q 40/48CSCA Standardcircles · Mock 14 · Q40

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Circle center $(-4,-4)$ , radius 6: equation is

Target: ~75s · ID EXAM-G14-40

Q 41/48CSCA Standardcircles · Mock 14 · Q41

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Circle $x^2+y^2-2x+2y-34 = 0$ : center and radius are

Target: ~75s · ID EXAM-G14-41

Q 42/48CSCA Standardparabolas · Mock 14 · Q42

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Focus F of $y^2 = 12x$ ; P on parabola with x = 6: $|PF| =$

Target: ~75s · ID EXAM-G14-42

Q 43/48CSCA Standardparabolas · Mock 14 · Q43

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About parabola $y^2 = 20x$ , which is correct?

Target: ~75s · ID EXAM-G14-43

Q 44/48CSCA Standardellipses · Mock 14 · Q44

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About ellipse $\frac{x^2}{25}+\frac{y^2}{16} = 1$ , correct is

Target: ~75s · ID EXAM-G14-44

Q 45/48CSCA Standardhyperbolas · Mock 14 · Q45

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Foci of $\frac{x^2}{16} - \frac{y^2}{9} = 1$ are

Target: ~75s · ID EXAM-G14-45

Q 46/48CSCA Standardprobability · Mock 14 · Q46

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

Target: ~75s · ID EXAM-G14-46

Q 47/48CSCA Standardvectors · Mock 14 · Q47

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$a = (4,1)$ , $b = (12,3)$ : a and b are

Target: ~75s · ID EXAM-G14-47

Q 48/48CSCA Standardcomplex-numbers · Mock 14 · Q48

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$z^3 = 1$ , $z \ne 1$ : $1+z+\cdots+z^{1001} =$

Target: ~75s · ID EXAM-G14-48

Mock 14 paper

A={7,8,9,10,11}A = \{7,8,9,10,11\}A={7,8,9,10,11}: which is correct?

A={x∣1<x<3}A = \{x|1<x<3\}A={x∣1<x<3}, B={x∣x>2}B = \{x|x>2\}B={x∣x>2}: A∩B=A \cap B =A∩B=

x2+1x−2>0x^2+1x-2 > 0x2+1x−2>0: solution set is

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

x2−4x−5>0x^2-4x-5 > 0x2−4x−5>0: solution set is

The domain of f(x)=1x+3−xf(x) = \frac{1}{x} + \sqrt{3-x}f(x)=x1​+3−x​ is

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

The domain of y=1x−8y = \frac{1}{x-8}y=x−81​ is

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

Which is an odd function?

The inverse function of y=x3+9y = x^3+9y=x3+9 (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?

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

sin⁡120∘=\sin 120^\circ =sin120∘=

Minimum of y=cos⁡8x+5y = \cos 8x + 5y=cos8x+5 is

sin⁡α=513\sin\alpha = \frac{5}{13}sinα=135​, second quadrant: cos⁡α=\cos\alpha =cosα=

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

Which reduction equation is incorrect?

sin⁡α=14\sin\alpha = \frac{1}{4}sinα=41​: cos⁡2α=\cos 2\alpha =cos2α=

Minimum of y=cos⁡6x+7y = \cos 6x + 7y=cos6x+7 is

sin⁡α=817\sin\alpha = \frac{8}{17}sinα=178​, second quadrant: cos⁡α=\cos\alpha =cosα=

Inverse of y=10x+9y = 10x + 9y=10x+9 is

Arithmetic with a7=6a_7 = 6a7​=6: S13=S_{13} =S13​=

Arithmetic a1=6a_1 = 6a1​=6, d=1d = 1d=1: then a50=a_{50} =a50​=

0,a,60, a, 60,a,6 arithmetic: a=a =a=

Arithmetic a1=−8,a2=−7a_1 = -8, a_2 = -7a1​=−8,a2​=−7: a5=a_5 =a5​=

Geometric 1,3,91,3,91,3,9: general term is

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

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

Inclination 60∘60^\circ60∘: slope is

Which line is perpendicular to 2x+9=02x+9 = 02x+9=0 ?

Slope 444 through (−5,−3)(-5,-3)(−5,−3): equation is

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

Slope through A(5,5)A(5,5)A(5,5) , B(8,2)B(8,2)B(8,2):

Which point is in the third quadrant?

Distance P(3,−1)P(3,-1)P(3,−1) to Q(4,−5)Q(4,-5)Q(4,−5) is

Distance P(3,2)P(3,2)P(3,2) to Q(0,4)Q(0,4)Q(0,4) is

Circle center (−4,−4)(-4,-4)(−4,−4), radius 6: equation is

Circle x2+y2−2x+2y−34=0x^2+y^2-2x+2y-34 = 0x2+y2−2x+2y−34=0: center and radius are

Focus F of y2=12xy^2 = 12xy2=12x; P on parabola with x = 6: ∣PF∣=|PF| =∣PF∣=

About parabola y2=20xy^2 = 20xy2=20x, which is correct?

About ellipse x225+y216=1\frac{x^2}{25}+\frac{y^2}{16} = 125x2​+16y2​=1, correct is

Foci of x216−y29=1\frac{x^2}{16} - \frac{y^2}{9} = 116x2​−9y2​=1 are

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

a=(4,1)a = (4,1)a=(4,1), b=(12,3)b = (12,3)b=(12,3): a and b are

z3=1z^3 = 1z3=1, z≠1z \ne 1z=1: 1+z+⋯+z1001=1+z+\cdots+z^{1001} =1+z+⋯+z1001=

$A = \{7,8,9,10,11\}$ : which is correct?

$A = \{x|1<x<3\}$ , $B = \{x|x>2\}$ : $A \cap B =$

$x^2+1x-2 > 0$ : solution set is

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

$x^2-4x-5 > 0$ : solution set is

The domain of $f(x) = \frac{1}{x} + \sqrt{3-x}$ is

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

The domain of $y = \frac{1}{x-8}$ is

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

The inverse function of $y = x^3+9$ $(x \in \mathbb{R})$ is

Given $a > b$ , which must hold?

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

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

$\sin 120^\circ =$

Minimum of $y = \cos 8x + 5$ is

$\sin\alpha = \frac{5}{13}$ , second quadrant: $\cos\alpha =$

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

$\sin\alpha = \frac{1}{4}$ : $\cos 2\alpha =$

Minimum of $y = \cos 6x + 7$ is

$\sin\alpha = \frac{8}{17}$ , second quadrant: $\cos\alpha =$

Inverse of $y = 10x + 9$ is

Arithmetic with $a_7 = 6$ : $S_{13} =$

Arithmetic $a_1 = 6$ , $d = 1$ : then $a_{50} =$

$0, a, 6$ arithmetic: $a =$

Arithmetic $a_1 = -8, a_2 = -7$ : $a_5 =$

Geometric $1,3,9$ : general term is

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

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

Inclination $60^\circ$ : slope is

Which line is perpendicular to $2x+9 = 0$ ?

Slope $4$ through $(-5,-3)$ : equation is

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

Slope through $A(5,5)$ , $B(8,2)$ :

Distance $P(3,-1)$ to $Q(4,-5)$ is

Distance $P(3,2)$ to $Q(0,4)$ is

Circle center $(-4,-4)$ , radius 6: equation is

Circle $x^2+y^2-2x+2y-34 = 0$ : center and radius are

Focus F of $y^2 = 12x$ ; P on parabola with x = 6: $|PF| =$

About parabola $y^2 = 20x$ , which is correct?

About ellipse $\frac{x^2}{25}+\frac{y^2}{16} = 1$ , correct is

Foci of $\frac{x^2}{16} - \frac{y^2}{9} = 1$ are

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

$a = (4,1)$ , $b = (12,3)$ : a and b are

$z^3 = 1$ , $z \ne 1$ : $1+z+\cdots+z^{1001} =$