CSCA Preparation Platform Free Practice, Mocks & Syllabus

Q 1/48CSCA Standardsets · Mock 13 · Q1

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

Target: ~75s · ID EXAM-G13-1

Q 2/48CSCA Standardsets · Mock 13 · Q2

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$A = \{9,10,11,12,13\}$ : which is correct?

Target: ~75s · ID EXAM-G13-2

Q 3/48CSCA Standardinequalities · Mock 13 · Q3

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

Target: ~75s · ID EXAM-G13-3

Q 4/48CSCA Standardinequalities · Mock 13 · Q4

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$\frac{2x-8}{x-7} \le 0$ : solution set is

Target: ~75s · ID EXAM-G13-4

Q 5/48CSCA Standardinequalities · Mock 13 · Q5

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$x^2+6x+5 > 0$ : solution set is

Target: ~75s · ID EXAM-G13-5

Q 6/48CSCA Standarddomain-range · Mock 13 · Q6

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

Target: ~75s · ID EXAM-G13-6

Q 7/48CSCA Standarddomain-range · Mock 13 · Q7

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The domain of $y = \sqrt{x-7}$ is

Target: ~75s · ID EXAM-G13-7

Q 8/48CSCA Standarddomain-range · Mock 13 · Q8

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

Target: ~75s · ID EXAM-G13-8

Q 9/48CSCA Standardmonotonicity · Mock 13 · Q9

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

Target: ~75s · ID EXAM-G13-9

Q 10/48CSCA Standardeven-odd-functions · Mock 13 · Q10

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About $f(x) = x^4 + 4$ , which is correct?

Target: ~75s · ID EXAM-G13-10

Q 11/48CSCA Standardpower-functions · Mock 13 · Q11

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The inverse function of $y = x^3+5$ $(x \in \mathbb{R})$ is

Target: ~75s · ID EXAM-G13-11

Q 12/48CSCA Standardexponential-functions · Mock 13 · Q12

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

Target: ~75s · ID EXAM-G13-12

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

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Given $a > b$ , which must hold?

Target: ~75s · ID EXAM-G13-13

Q 14/48CSCA Standardlogarithmic-functions · Mock 13 · Q14

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About $y = \log_a x$ , which is correct?

Target: ~75s · ID EXAM-G13-14

Q 15/48CSCA Standardtrigonometric-functions · Mock 13 · Q15

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$\sin 135^\circ =$

Target: ~75s · ID EXAM-G13-15

Q 16/48CSCA Standardtrigonometric-functions · Mock 13 · Q16

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Which reduction equation is incorrect?

Target: ~75s · ID EXAM-G13-16

Q 17/48CSCA Standardtrigonometric-functions · Mock 13 · Q17

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$\sin 120^\circ =$

Target: ~75s · ID EXAM-G13-17

Q 18/48CSCA Standardtrigonometric-functions · Mock 13 · Q18

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

Target: ~75s · ID EXAM-G13-18

Q 19/48CSCA Standardtrigonometric-functions · Mock 13 · Q19

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

Target: ~75s · ID EXAM-G13-19

Q 20/48CSCA Standardtrigonometric-functions · Mock 13 · Q20

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Minimum of $y = \cos 9x + 8$ is

Target: ~75s · ID EXAM-G13-20

Q 21/48CSCA Standardtrigonometric-functions · Mock 13 · Q21

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

Target: ~75s · ID EXAM-G13-21

Q 22/48CSCA Standardtrigonometric-functions · Mock 13 · Q22

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

Target: ~75s · ID EXAM-G13-22

Q 23/48CSCA Standardtrigonometric-functions · Mock 13 · Q23

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$\sin\alpha = \frac{3}{5}$ : $\cos 2\alpha =$

Target: ~75s · ID EXAM-G13-23

Q 24/48CSCA Standardinverse-functions · Mock 13 · Q24

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Inverse of $y = 4x - 6$ is

Target: ~75s · ID EXAM-G13-24

Q 25/48CSCA Standardarithmetic-sequences · Mock 13 · Q25

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

Target: ~75s · ID EXAM-G13-25

Q 26/48CSCA Standardarithmetic-sequences · Mock 13 · Q26

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Arithmetic $a_1 = 6$ , $d = 3$ : then $a_{50} =$

Target: ~75s · ID EXAM-G13-26

Q 27/48CSCA Standardarithmetic-sequences · Mock 13 · Q27

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Arithmetic $a_1 = 3$ , $d = 5$ : then $a_{101} =$

Target: ~75s · ID EXAM-G13-27

Q 28/48CSCA Standardarithmetic-sequences · Mock 13 · Q28

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Arithmetic $a_1 = 3$ , $d = 3$ : then $a_{100} =$

Target: ~75s · ID EXAM-G13-28

Q 29/48CSCA Standardgeometric-sequences · Mock 13 · Q29

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

Target: ~75s · ID EXAM-G13-29

Q 30/48CSCA Standardgeometric-sequences · Mock 13 · Q30

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Geometric $a_1 = 1$ , $q = 2$ : $S_6 =$

Target: ~75s · ID EXAM-G13-30

Q 31/48CSCA Standardgeometric-sequences · Mock 13 · Q31

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$\frac{1}{4}, -\frac{1}{16}, \frac{1}{64}, \ldots$ : $a_n =$

Target: ~75s · ID EXAM-G13-31

Q 32/48CSCA Standardlines · Mock 13 · Q32

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Slope through $A(-5,5)$ , $B(-6,3)$ :

Target: ~75s · ID EXAM-G13-32

Q 33/48CSCA Standardlines · Mock 13 · Q33

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Slope through $A(1,5)$ , $B(-2,7)$ :

Target: ~75s · ID EXAM-G13-33

Q 34/48CSCA Standardlines · Mock 13 · Q34

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Slope through $A(-4,-3)$ , $B(-5,-5)$ :

Target: ~75s · ID EXAM-G13-34

Q 35/48CSCA Standardlines · Mock 13 · Q35

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Slope through $A(0,-4)$ , $B(4,-1)$ :

Target: ~75s · ID EXAM-G13-35

Q 36/48CSCA Standardlines · Mock 13 · Q36

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Slope through $A(-1,0)$ , $B(-4,2)$ :

Target: ~75s · ID EXAM-G13-36

Q 37/48CSCA Standardanalytic-geometry · Mock 13 · Q37

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Which point is in the third quadrant?

Target: ~75s · ID EXAM-G13-37

Q 38/48CSCA Standardanalytic-geometry · Mock 13 · Q38

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$|AB| = 5$ , $A(-2,2)$ , $B(x,6)$ : $x =$

Target: ~75s · ID EXAM-G13-38

Q 39/48CSCA Standardanalytic-geometry · Mock 13 · Q39

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$P(2,-1)$ ; Q symmetric about the y-axis: Q =

Target: ~75s · ID EXAM-G13-39

Q 40/48CSCA Standardcircles · Mock 13 · Q40

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Circle center $(-1,3)$ , radius 2: equation is

Target: ~75s · ID EXAM-G13-40

Q 41/48CSCA Standardcircles · Mock 13 · Q41

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

Target: ~75s · ID EXAM-G13-41

Q 42/48CSCA Standardparabolas · Mock 13 · Q42

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About parabola $y^2 = 32x$ , which is correct?

Target: ~75s · ID EXAM-G13-42

Q 43/48CSCA Standardparabolas · Mock 13 · Q43

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

Target: ~75s · ID EXAM-G13-43

Q 44/48CSCA Standardellipses · Mock 13 · Q44

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Ellipse $\frac{x^2}{60}+\frac{y^2}{64} = 1$ : $|PF_1|+|PF_2| =$

Target: ~75s · ID EXAM-G13-44

Q 45/48CSCA Standardhyperbolas · Mock 13 · Q45

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

Target: ~75s · ID EXAM-G13-45

Q 46/48CSCA Standardprobability · Mock 13 · Q46

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Bag: 3 red, 2 blue. One draw. $P(\text{red}) =$

Target: ~75s · ID EXAM-G13-46

Q 47/48CSCA Standardvectors · Mock 13 · Q47

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$a = (6,2)$ , $b = (12,4)$ : a and b are

Target: ~75s · ID EXAM-G13-47

Q 48/48CSCA Standardcomplex-numbers · Mock 13 · Q48

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$(z-5i)(2-i) = 5$ : $z =$

Target: ~75s · ID EXAM-G13-48

Mock 13 paper

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

A={9,10,11,12,13}A = \{9,10,11,12,13\}A={9,10,11,12,13}: which is correct?

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

2x−8x−7≤0\frac{2x-8}{x-7} \le 0x−72x−8​≤0: solution set is

x2+6x+5>0x^2+6x+5 > 0x2+6x+5>0: solution set is

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

The domain of y=x−7y = \sqrt{x-7}y=x−7​ is

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

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

About f(x)=x4+4f(x) = x^4 + 4f(x)=x4+4 , which is correct?

The inverse function of y=x3+5y = x^3+5y=x3+5 (x∈R)(x \in \mathbb{R})(x∈R) is

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

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

About y=log⁡axy = \log_a xy=loga​x , which is correct?

sin⁡135∘=\sin 135^\circ =sin135∘=

Which reduction equation is incorrect?

sin⁡120∘=\sin 120^\circ =sin120∘=

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

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

Minimum of y=cos⁡9x+8y = \cos 9x + 8y=cos9x+8 is

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

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

sin⁡α=35\sin\alpha = \frac{3}{5}sinα=53​: cos⁡2α=\cos 2\alpha =cos2α=

Inverse of y=4x−6y = 4x - 6y=4x−6 is

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

Arithmetic a1=6a_1 = 6a1​=6, d=3d = 3d=3: then a50=a_{50} =a50​=

Arithmetic a1=3a_1 = 3a1​=3, d=5d = 5d=5: then a101=a_{101} =a101​=

Arithmetic a1=3a_1 = 3a1​=3, d=3d = 3d=3: then a100=a_{100} =a100​=

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

Geometric a1=1a_1 = 1a1​=1, q=2q = 2q=2: S6=S_6 =S6​=

14,−116,164,…\frac{1}{4}, -\frac{1}{16}, \frac{1}{64}, \ldots41​,−161​,641​,…: an=a_n =an​=

Slope through A(−5,5)A(-5,5)A(−5,5) , B(−6,3)B(-6,3)B(−6,3):

Slope through A(1,5)A(1,5)A(1,5) , B(−2,7)B(-2,7)B(−2,7):

Slope through A(−4,−3)A(-4,-3)A(−4,−3) , B(−5,−5)B(-5,-5)B(−5,−5):

Slope through A(0,−4)A(0,-4)A(0,−4) , B(4,−1)B(4,-1)B(4,−1):

Slope through A(−1,0)A(-1,0)A(−1,0) , B(−4,2)B(-4,2)B(−4,2):

Which point is in the third quadrant?

∣AB∣=5|AB| = 5∣AB∣=5, A(−2,2)A(-2,2)A(−2,2), B(x,6)B(x,6)B(x,6): x=x =x=

P(2,−1)P(2,-1)P(2,−1); Q symmetric about the y-axis: Q =

Circle center (−1,3)(-1,3)(−1,3), radius 2: equation is

Circle center (4,4)(4,4)(4,4), radius 2: equation is

About parabola y2=32xy^2 = 32xy2=32x, which is correct?

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

Ellipse x260+y264=1\frac{x^2}{60}+\frac{y^2}{64} = 160x2​+64y2​=1: ∣PF1∣+∣PF2∣=|PF_1|+|PF_2| =∣PF1​∣+∣PF2​∣=

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

Bag: 3 red, 2 blue. One draw. P(red)=P(\text{red}) =P(red)=

a=(6,2)a = (6,2)a=(6,2), b=(12,4)b = (12,4)b=(12,4): a and b are

(z−5i)(2−i)=5(z-5i)(2-i) = 5(z−5i)(2−i)=5: z=z =z=

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

$A = \{9,10,11,12,13\}$ : which is correct?

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

$\frac{2x-8}{x-7} \le 0$ : solution set is

$x^2+6x+5 > 0$ : solution set is

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

The domain of $y = \sqrt{x-7}$ is

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

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

About $f(x) = x^4 + 4$ , which is correct?

The inverse function of $y = x^3+5$ $(x \in \mathbb{R})$ is

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

Given $a > b$ , which must hold?

About $y = \log_a x$ , which is correct?

$\sin 135^\circ =$

$\sin 120^\circ =$

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

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

Minimum of $y = \cos 9x + 8$ is

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

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

$\sin\alpha = \frac{3}{5}$ : $\cos 2\alpha =$

Inverse of $y = 4x - 6$ is

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

Arithmetic $a_1 = 6$ , $d = 3$ : then $a_{50} =$

Arithmetic $a_1 = 3$ , $d = 5$ : then $a_{101} =$

Arithmetic $a_1 = 3$ , $d = 3$ : then $a_{100} =$

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

Geometric $a_1 = 1$ , $q = 2$ : $S_6 =$

$\frac{1}{4}, -\frac{1}{16}, \frac{1}{64}, \ldots$ : $a_n =$

Slope through $A(-5,5)$ , $B(-6,3)$ :

Slope through $A(1,5)$ , $B(-2,7)$ :

Slope through $A(-4,-3)$ , $B(-5,-5)$ :

Slope through $A(0,-4)$ , $B(4,-1)$ :

Slope through $A(-1,0)$ , $B(-4,2)$ :

$|AB| = 5$ , $A(-2,2)$ , $B(x,6)$ : $x =$

$P(2,-1)$ ; Q symmetric about the y-axis: Q =

Circle center $(-1,3)$ , radius 2: equation is

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

About parabola $y^2 = 32x$ , which is correct?

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

Ellipse $\frac{x^2}{60}+\frac{y^2}{64} = 1$ : $|PF_1|+|PF_2| =$

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

Bag: 3 red, 2 blue. One draw. $P(\text{red}) =$

$a = (6,2)$ , $b = (12,4)$ : a and b are

$(z-5i)(2-i) = 5$ : $z =$