CSCA Preparation Platform Free Practice, Mocks & Syllabus

Q 1/48CSCA Standardsets · Mock 11 · Q1

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$A = \{8,9,10,11,12\}$ : which is correct?

Target: ~75s · ID EXAM-G11-1

Q 2/48CSCA Standardsets · Mock 11 · Q2

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$A = \{x|-5<x<-2\}$ , $B = \{x|x>-3\}$ : $A \cap B =$

Target: ~75s · ID EXAM-G11-2

Q 3/48CSCA Standardinequalities · Mock 11 · Q3

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

Target: ~75s · ID EXAM-G11-3

Q 4/48CSCA Standardinequalities · Mock 11 · Q4

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

Target: ~75s · ID EXAM-G11-4

Q 5/48CSCA Standardinequalities · Mock 11 · Q5

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

Target: ~75s · ID EXAM-G11-5

Q 6/48CSCA Standarddomain-range · Mock 11 · Q6

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

Target: ~75s · ID EXAM-G11-6

Q 7/48CSCA Standarddomain-range · Mock 11 · Q7

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

Target: ~75s · ID EXAM-G11-7

Q 8/48CSCA Standarddomain-range · Mock 11 · Q8

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The domain of $y = \frac{1}{x+4}$ is

Target: ~75s · ID EXAM-G11-8

Q 9/48CSCA Standardmonotonicity · Mock 11 · Q9

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

Target: ~75s · ID EXAM-G11-9

Q 10/48CSCA Standardeven-odd-functions · Mock 11 · Q10

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

Target: ~75s · ID EXAM-G11-10

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

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The inverse function of $y = x^3+2$ $(x \in \mathbb{R})$ is

Target: ~75s · ID EXAM-G11-11

Q 12/48CSCA Standardexponential-functions · Mock 11 · Q12

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

Target: ~75s · ID EXAM-G11-12

Q 13/48CSCA Standardexponential-functions · Mock 11 · Q13

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Given $a > b$ , which must hold?

Target: ~75s · ID EXAM-G11-13

Q 14/48CSCA Standardlogarithmic-functions · Mock 11 · Q14

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

Target: ~75s · ID EXAM-G11-14

Q 15/48CSCA Standardtrigonometric-functions · Mock 11 · Q15

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

Target: ~75s · ID EXAM-G11-15

Q 16/48CSCA Standardtrigonometric-functions · Mock 11 · Q16

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Which reduction equation is incorrect?

Target: ~75s · ID EXAM-G11-16

Q 17/48CSCA Standardtrigonometric-functions · Mock 11 · Q17

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

Target: ~75s · ID EXAM-G11-17

Q 18/48CSCA Standardtrigonometric-functions · Mock 11 · Q18

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

Target: ~75s · ID EXAM-G11-18

Q 19/48CSCA Standardtrigonometric-functions · Mock 11 · Q19

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$\cos\alpha = -\frac{1}{2}$ , QII: $\sin(\frac{\alpha}{2}) =$

Target: ~75s · ID EXAM-G11-19

Q 20/48CSCA Standardtrigonometric-functions · Mock 11 · Q20

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

Target: ~75s · ID EXAM-G11-20

Q 21/48CSCA Standardtrigonometric-functions · Mock 11 · Q21

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$\sin 120^\circ =$

Target: ~75s · ID EXAM-G11-21

Q 22/48CSCA Standardtrigonometric-functions · Mock 11 · Q22

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

Target: ~75s · ID EXAM-G11-22

Q 23/48CSCA Standardtrigonometric-functions · Mock 11 · Q23

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Minimum of $y = \cos 6x + 5$ is

Target: ~75s · ID EXAM-G11-23

Q 24/48CSCA Standardinverse-functions · Mock 11 · Q24

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Inverse of $y = 5x - 2$ is

Target: ~75s · ID EXAM-G11-24

Q 25/48CSCA Standardarithmetic-sequences · Mock 11 · Q25

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Arithmetic $a_1 = 7, a_2 = 4$ : $a_5 =$

Target: ~75s · ID EXAM-G11-25

Q 26/48CSCA Standardarithmetic-sequences · Mock 11 · Q26

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Arithmetic $a_1 = 6$ , $d = 2$ : then $a_{101} =$

Target: ~75s · ID EXAM-G11-26

Q 27/48CSCA Standardarithmetic-sequences · Mock 11 · Q27

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How many are arithmetic: $1,0,-1,-2$ · $2,4,7,11$ · $3,3,3,3$ · $2,4,8,16$ ?

Target: ~75s · ID EXAM-G11-27

Q 28/48CSCA Standardarithmetic-sequences · Mock 11 · Q28

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$2, a, 6$ arithmetic: $a =$

Target: ~75s · ID EXAM-G11-28

Q 29/48CSCA Standardgeometric-sequences · Mock 11 · Q29

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

Target: ~75s · ID EXAM-G11-29

Q 30/48CSCA Standardgeometric-sequences · Mock 11 · Q30

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Geometric $a_1 = 48, a_4 = 6$ : $q =$

Target: ~75s · ID EXAM-G11-30

Q 31/48CSCA Standardgeometric-sequences · Mock 11 · Q31

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$\frac{1}{3}, -\frac{1}{9}, \frac{1}{27}, \ldots$ : $a_n =$

Target: ~75s · ID EXAM-G11-31

Q 32/48CSCA Standardlines · Mock 11 · Q32

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Slope $-3$ through $(1,-3)$ : equation is

Target: ~75s · ID EXAM-G11-32

Q 33/48CSCA Standardlines · Mock 11 · Q33

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Inclination $30^\circ$ : slope is

Target: ~75s · ID EXAM-G11-33

Q 34/48CSCA Standardlines · Mock 11 · Q34

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Intersection of $y = -3x-5$ and $-2x-y+0 = 0$ :

Target: ~75s · ID EXAM-G11-34

Q 35/48CSCA Standardlines · Mock 11 · Q35

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Which line is perpendicular to $x+1 = 0$ ?

Target: ~75s · ID EXAM-G11-35

Q 36/48CSCA Standardlines · Mock 11 · Q36

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Slope through $A(3,-2)$ , $B(5,0)$ :

Target: ~75s · ID EXAM-G11-36

Q 37/48CSCA Standardanalytic-geometry · Mock 11 · Q37

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Which point is in the third quadrant?

Target: ~75s · ID EXAM-G11-37

Q 38/48CSCA Standardanalytic-geometry · Mock 11 · Q38

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

Target: ~75s · ID EXAM-G11-38

Q 39/48CSCA Standardanalytic-geometry · Mock 11 · Q39

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

Target: ~75s · ID EXAM-G11-39

Q 40/48CSCA Standardcircles · Mock 11 · Q40

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Circle center $(-5,-4)$ , radius 6: equation is

Target: ~75s · ID EXAM-G11-40

Q 41/48CSCA Standardcircles · Mock 11 · Q41

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Circle $x^2+y^2-8x+2y+8 = 0$ : center and radius are

Target: ~75s · ID EXAM-G11-41

Q 42/48CSCA Standardparabolas · Mock 11 · Q42

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Focus F of $y^2 = 16x$ ; P on parabola with x = 6: $|PF| =$

Target: ~75s · ID EXAM-G11-42

Q 43/48CSCA Standardparabolas · Mock 11 · Q43

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

Target: ~75s · ID EXAM-G11-43

Q 44/48CSCA Standardellipses · Mock 11 · Q44

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Ellipse $\frac{x^2}{49}+\frac{y^2}{45} = 1$ : $|PF_1|+|PF_2| =$

Target: ~75s · ID EXAM-G11-44

Q 45/48CSCA Standardhyperbolas · Mock 11 · Q45

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

Target: ~75s · ID EXAM-G11-45

Q 46/48CSCA Standardprobability · Mock 11 · Q46

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Bag: 5 red, 3 blue. One draw. $P(\text{red}) =$

Target: ~75s · ID EXAM-G11-46

Q 47/48CSCA Standardvectors · Mock 11 · Q47

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$a = (2,4)$ , $b = (-4,-8)$ : a and b are

Target: ~75s · ID EXAM-G11-47

Q 48/48CSCA Standardcomplex-numbers · Mock 11 · Q48

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$(z-5i)(3-i) = 10$ : $z =$

Target: ~75s · ID EXAM-G11-48

Mock 11 paper

A={8,9,10,11,12}A = \{8,9,10,11,12\}A={8,9,10,11,12}: which is correct?

A={x∣−5<x<−2}A = \{x|-5<x<-2\}A={x∣−5<x<−2}, B={x∣x>−3}B = \{x|x>-3\}B={x∣x>−3}: A∩B=A \cap B =A∩B=

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

x2+8x+15≥0x^2+8x+15 \ge 0x2+8x+15≥0: solution set is

x2+6x+5>0x^2+6x+5 > 0x2+6x+5>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+4y = \frac{1}{x+4}y=x+41​ 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+2y = x^3+2y=x3+2 (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⁡α=513\sin\alpha = \frac{5}{13}sinα=135​, second quadrant: cos⁡α=\cos\alpha =cosα=

Which reduction equation is incorrect?

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

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

cos⁡α=−12\cos\alpha = -\frac{1}{2}cosα=−21​, QII: sin⁡(α2)=\sin(\frac{\alpha}{2}) =sin(2α​)=

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

sin⁡120∘=\sin 120^\circ =sin120∘=

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

Minimum of y=cos⁡6x+5y = \cos 6x + 5y=cos6x+5 is

Inverse of y=5x−2y = 5x - 2y=5x−2 is

Arithmetic a1=7,a2=4a_1 = 7, a_2 = 4a1​=7,a2​=4: a5=a_5 =a5​=

Arithmetic a1=6a_1 = 6a1​=6, d=2d = 2d=2: then a101=a_{101} =a101​=

How many are arithmetic: 1,0,−1,−21,0,-1,-21,0,−1,−2 · 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 ?

2,a,62, a, 62,a,6 arithmetic: a=a =a=

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

Geometric a1=48,a4=6a_1 = 48, a_4 = 6a1​=48,a4​=6: q=q =q=

13,−19,127,…\frac{1}{3}, -\frac{1}{9}, \frac{1}{27}, \ldots31​,−91​,271​,…: an=a_n =an​=

Slope −3-3−3 through (1,−3)(1,-3)(1,−3): equation is

Inclination 30∘30^\circ30∘: slope is

Intersection of y=−3x−5y = -3x-5y=−3x−5 and −2x−y+0=0-2x-y+0 = 0−2x−y+0=0:

Which line is perpendicular to x+1=0x+1 = 0x+1=0 ?

Slope through A(3,−2)A(3,-2)A(3,−2) , B(5,0)B(5,0)B(5,0):

Which point is in the third quadrant?

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

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

Circle center (−5,−4)(-5,-4)(−5,−4), radius 6: equation is

Circle x2+y2−8x+2y+8=0x^2+y^2-8x+2y+8 = 0x2+y2−8x+2y+8=0: center and radius are

Focus F of y2=16xy^2 = 16xy2=16x; P on parabola with x = 6: ∣PF∣=|PF| =∣PF∣=

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

Ellipse x249+y245=1\frac{x^2}{49}+\frac{y^2}{45} = 149x2​+45y2​=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: 5 red, 3 blue. One draw. P(red)=P(\text{red}) =P(red)=

a=(2,4)a = (2,4)a=(2,4), b=(−4,−8)b = (-4,-8)b=(−4,−8): a and b are

(z−5i)(3−i)=10(z-5i)(3-i) = 10(z−5i)(3−i)=10: z=z =z=

$A = \{8,9,10,11,12\}$ : which is correct?

$A = \{x|-5<x<-2\}$ , $B = \{x|x>-3\}$ : $A \cap B =$

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

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

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

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

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

The domain of $y = \frac{1}{x+4}$ is

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

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

The inverse function of $y = x^3+2$ $(x \in \mathbb{R})$ 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?

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

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

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

$\cos\alpha = -\frac{1}{2}$ , QII: $\sin(\frac{\alpha}{2}) =$

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

$\sin 120^\circ =$

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

Minimum of $y = \cos 6x + 5$ is

Inverse of $y = 5x - 2$ is

Arithmetic $a_1 = 7, a_2 = 4$ : $a_5 =$

Arithmetic $a_1 = 6$ , $d = 2$ : then $a_{101} =$

How many are arithmetic: $1,0,-1,-2$ · $2,4,7,11$ · $3,3,3,3$ · $2,4,8,16$ ?

$2, a, 6$ arithmetic: $a =$

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

Geometric $a_1 = 48, a_4 = 6$ : $q =$

$\frac{1}{3}, -\frac{1}{9}, \frac{1}{27}, \ldots$ : $a_n =$

Slope $-3$ through $(1,-3)$ : equation is

Inclination $30^\circ$ : slope is

Intersection of $y = -3x-5$ and $-2x-y+0 = 0$ :

Which line is perpendicular to $x+1 = 0$ ?

Slope through $A(3,-2)$ , $B(5,0)$ :

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

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

Circle center $(-5,-4)$ , radius 6: equation is

Circle $x^2+y^2-8x+2y+8 = 0$ : center and radius are

Focus F of $y^2 = 16x$ ; P on parabola with x = 6: $|PF| =$

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

Ellipse $\frac{x^2}{49}+\frac{y^2}{45} = 1$ : $|PF_1|+|PF_2| =$

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

Bag: 5 red, 3 blue. One draw. $P(\text{red}) =$

$a = (2,4)$ , $b = (-4,-8)$ : a and b are

$(z-5i)(3-i) = 10$ : $z =$