CSCA Preparation Platform Free Practice, Mocks & Syllabus

Q 1/48CSCA Standardsets · Mock 02 · Q1

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

Target: ~75s · ID EXAM-G2-1

Q 2/48CSCA Standardsets · Mock 02 · Q2

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$A = \{x|2<x<5\}$ , $B = \{x|x>4\}$ : $A \cap B =$

Target: ~75s · ID EXAM-G2-2

Q 3/48CSCA Standardinequalities · Mock 02 · Q3

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

Target: ~75s · ID EXAM-G2-3

Q 4/48CSCA Standardinequalities · Mock 02 · Q4

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

Target: ~75s · ID EXAM-G2-4

Q 5/48CSCA Standardinequalities · Mock 02 · Q5

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

Target: ~75s · ID EXAM-G2-5

Q 6/48CSCA Standarddomain-range · Mock 02 · Q6

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Which function is the same as $y = |x|$ ?

Target: ~75s · ID EXAM-G2-6

Q 7/48CSCA Standarddomain-range · Mock 02 · Q7

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The domain of $y = \sqrt{x-4}$ is

Target: ~75s · ID EXAM-G2-7

Q 8/48CSCA Standarddomain-range · Mock 02 · Q8

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The domain of $y = \frac{1}{x-5}$ is

Target: ~75s · ID EXAM-G2-8

Q 9/48CSCA Standardmonotonicity · Mock 02 · Q9

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

Target: ~75s · ID EXAM-G2-9

Q 10/48CSCA Standardeven-odd-functions · Mock 02 · Q10

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Which is an odd function?

Target: ~75s · ID EXAM-G2-10

Q 11/48CSCA Standardpower-functions · Mock 02 · Q11

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

Target: ~75s · ID EXAM-G2-11

Q 12/48CSCA Standardexponential-functions · Mock 02 · Q12

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Given $a > b$ , which must hold?

Target: ~75s · ID EXAM-G2-12

Q 13/48CSCA Standardexponential-functions · Mock 02 · Q13

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

Target: ~75s · ID EXAM-G2-13

Q 14/48CSCA Standardlogarithmic-functions · Mock 02 · Q14

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Which logarithm statement is incorrect?

Target: ~75s · ID EXAM-G2-14

Q 15/48CSCA Standardtrigonometric-functions · Mock 02 · Q15

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

Target: ~75s · ID EXAM-G2-15

Q 16/48CSCA Standardtrigonometric-functions · Mock 02 · Q16

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$\sin 135^\circ =$

Target: ~75s · ID EXAM-G2-16

Q 17/48CSCA Standardtrigonometric-functions · Mock 02 · Q17

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

Target: ~75s · ID EXAM-G2-17

Q 18/48CSCA Standardtrigonometric-functions · Mock 02 · Q18

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

Target: ~75s · ID EXAM-G2-18

Q 19/48CSCA Standardtrigonometric-functions · Mock 02 · Q19

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

Target: ~75s · ID EXAM-G2-19

Q 20/48CSCA Standardtrigonometric-functions · Mock 02 · Q20

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

Target: ~75s · ID EXAM-G2-20

Q 21/48CSCA Standardtrigonometric-functions · Mock 02 · Q21

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$\sin 120^\circ =$

Target: ~75s · ID EXAM-G2-21

Q 22/48CSCA Standardtrigonometric-functions · Mock 02 · Q22

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Which reduction equation is incorrect?

Target: ~75s · ID EXAM-G2-22

Q 23/48CSCA Standardtrigonometric-functions · Mock 02 · Q23

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

Target: ~75s · ID EXAM-G2-23

Q 24/48CSCA Standardinverse-functions · Mock 02 · Q24

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Inverse of $y = 10x + 6$ is

Target: ~75s · ID EXAM-G2-24

Q 25/48CSCA Standardarithmetic-sequences · Mock 02 · Q25

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$13, a, 17$ arithmetic: $a =$

Target: ~75s · ID EXAM-G2-25

Q 26/48CSCA Standardarithmetic-sequences · Mock 02 · Q26

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Arithmetic $a_1 = 8$ , $d = 5$ : then $a_{101} =$

Target: ~75s · ID EXAM-G2-26

Q 27/48CSCA Standardarithmetic-sequences · Mock 02 · Q27

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Arithmetic with $a_7 = 5$ : $S_{13} =$

Target: ~75s · ID EXAM-G2-27

Q 28/48CSCA Standardarithmetic-sequences · Mock 02 · Q28

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How many are arithmetic: $4,5,6,7$ · $2,4,7,11$ · $3,3,3,3$ · $2,4,8,16$ ?

Target: ~75s · ID EXAM-G2-28

Q 29/48CSCA Standardgeometric-sequences · Mock 02 · Q29

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

Target: ~75s · ID EXAM-G2-29

Q 30/48CSCA Standardgeometric-sequences · Mock 02 · Q30

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

Target: ~75s · ID EXAM-G2-30

Q 31/48CSCA Standardgeometric-sequences · Mock 02 · Q31

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Geometric $a_1 = -48, a_4 = 384$ : $q =$

Target: ~75s · ID EXAM-G2-31

Q 32/48CSCA Standardlines · Mock 02 · Q32

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

Target: ~75s · ID EXAM-G2-32

Q 33/48CSCA Standardlines · Mock 02 · Q33

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Slope $2$ through $(1,1)$ : equation is

Target: ~75s · ID EXAM-G2-33

Q 34/48CSCA Standardlines · Mock 02 · Q34

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

Target: ~75s · ID EXAM-G2-34

Q 35/48CSCA Standardlines · Mock 02 · Q35

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Inclination $30^\circ$ : slope is

Target: ~75s · ID EXAM-G2-35

Q 36/48CSCA Standardlines · Mock 02 · Q36

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Slope through $A(0,2)$ , $B(1,-3)$ :

Target: ~75s · ID EXAM-G2-36

Q 37/48CSCA Standardanalytic-geometry · Mock 02 · Q37

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Which point is in the third quadrant?

Target: ~75s · ID EXAM-G2-37

Q 38/48CSCA Standardanalytic-geometry · Mock 02 · Q38

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Distance $P(1,-5)$ to $Q(4,-6)$ is

Target: ~75s · ID EXAM-G2-38

Q 39/48CSCA Standardanalytic-geometry · Mock 02 · Q39

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Distance $P(-1,1)$ to $Q(-4,-2)$ is

Target: ~75s · ID EXAM-G2-39

Q 40/48CSCA Standardcircles · Mock 02 · Q40

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

Target: ~75s · ID EXAM-G2-40

Q 41/48CSCA Standardcircles · Mock 02 · Q41

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Circle $x^2+y^2-4x-10y+4 = 0$ : center and radius are

Target: ~75s · ID EXAM-G2-41

Q 42/48CSCA Standardparabolas · Mock 02 · Q42

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Focus F of $y^2 = 16x$ ; P on parabola with x = 2: $|PF| =$

Target: ~75s · ID EXAM-G2-42

Q 43/48CSCA Standardparabolas · Mock 02 · Q43

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About parabola $y^2 = 12x$ , which is correct?

Target: ~75s · ID EXAM-G2-43

Q 44/48CSCA Standardellipses · Mock 02 · Q44

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

Target: ~75s · ID EXAM-G2-44

Q 45/48CSCA Standardhyperbolas · Mock 02 · Q45

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

Target: ~75s · ID EXAM-G2-45

Q 46/48CSCA Standardprobability · Mock 02 · Q46

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

Target: ~75s · ID EXAM-G2-46

Q 47/48CSCA Standardvectors · Mock 02 · Q47

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$a = (6,1)$ , $b = (18,3)$ : a and b are

Target: ~75s · ID EXAM-G2-47

Q 48/48CSCA Standardcomplex-numbers · Mock 02 · Q48

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

Target: ~75s · ID EXAM-G2-48

Mock 02 paper

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

A={x∣2<x<5}A = \{x|2<x<5\}A={x∣2<x<5}, B={x∣x>4}B = \{x|x>4\}B={x∣x>4}: A∩B=A \cap B =A∩B=

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

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

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

Which function is the same as y=∣x∣y = |x|y=∣x∣ ?

The domain of y=x−4y = \sqrt{x-4}y=x−4​ is

The domain of y=1x−5y = \frac{1}{x-5}y=x−51​ is

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

Which is an odd function?

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

Minimum of y=cos⁡2x+6y = \cos 2x + 6y=cos2x+6 is

sin⁡135∘=\sin 135^\circ =sin135∘=

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

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

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

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

sin⁡120∘=\sin 120^\circ =sin120∘=

Which reduction equation is incorrect?

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

Inverse of y=10x+6y = 10x + 6y=10x+6 is

13,a,1713, a, 1713,a,17 arithmetic: a=a =a=

Arithmetic a1=8a_1 = 8a1​=8, d=5d = 5d=5: then a101=a_{101} =a101​=

Arithmetic with a7=5a_7 = 5a7​=5: S13=S_{13} =S13​=

How many are arithmetic: 4,5,6,74,5,6,74,5,6,7 · 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 ?

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

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

Geometric a1=−48,a4=384a_1 = -48, a_4 = 384a1​=−48,a4​=384: q=q =q=

Intersection of y=2x+3y = 2x+3y=2x+3 and 3x−y−1=03x-y-1 = 03x−y−1=0:

Slope 222 through (1,1)(1,1)(1,1): equation is

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

Inclination 30∘30^\circ30∘: slope is

Slope through A(0,2)A(0,2)A(0,2) , B(1,−3)B(1,-3)B(1,−3):

Which point is in the third quadrant?

Distance P(1,−5)P(1,-5)P(1,−5) to Q(4,−6)Q(4,-6)Q(4,−6) is

Distance P(−1,1)P(-1,1)P(−1,1) to Q(−4,−2)Q(-4,-2)Q(−4,−2) is

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

Circle x2+y2−4x−10y+4=0x^2+y^2-4x-10y+4 = 0x2+y2−4x−10y+4=0: center and radius are

Focus F of y2=16xy^2 = 16xy2=16x; P on parabola with x = 2: ∣PF∣=|PF| =∣PF∣=

About parabola y2=12xy^2 = 12xy2=12x, which is correct?

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

Foci of x29−y216=1\frac{x^2}{9} - \frac{y^2}{16} = 19x2​−16y2​=1 are

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

a=(6,1)a = (6,1)a=(6,1), b=(18,3)b = (18,3)b=(18,3): 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=

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

$A = \{x|2<x<5\}$ , $B = \{x|x>4\}$ : $A \cap B =$

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

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

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

Which function is the same as $y = |x|$ ?

The domain of $y = \sqrt{x-4}$ is

The domain of $y = \frac{1}{x-5}$ is

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

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

Given $a > b$ , which must hold?

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

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

$\sin 135^\circ =$

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

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

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

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

$\sin 120^\circ =$

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

Inverse of $y = 10x + 6$ is

$13, a, 17$ arithmetic: $a =$

Arithmetic $a_1 = 8$ , $d = 5$ : then $a_{101} =$

Arithmetic with $a_7 = 5$ : $S_{13} =$

How many are arithmetic: $4,5,6,7$ · $2,4,7,11$ · $3,3,3,3$ · $2,4,8,16$ ?

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

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

Geometric $a_1 = -48, a_4 = 384$ : $q =$

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

Slope $2$ through $(1,1)$ : equation is

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

Inclination $30^\circ$ : slope is

Slope through $A(0,2)$ , $B(1,-3)$ :

Distance $P(1,-5)$ to $Q(4,-6)$ is

Distance $P(-1,1)$ to $Q(-4,-2)$ is

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

Circle $x^2+y^2-4x-10y+4 = 0$ : center and radius are

Focus F of $y^2 = 16x$ ; P on parabola with x = 2: $|PF| =$

About parabola $y^2 = 12x$ , which is correct?

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

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

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

$a = (6,1)$ , $b = (18,3)$ : a and b are

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