CSCA Preparation Platform Free Practice, Mocks & Syllabus

Q 1/48CSCA Standardsets · Mock 17 · Q1

Elapsed: 0:00

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

Target: ~75s · ID EXAM-G17-1

Q 2/48CSCA Standardsets · Mock 17 · Q2

Elapsed: 0:00

$A = \{x|2<x<7\}$ , $B = \{x|x>6\}$ : $A \cap B =$

Target: ~75s · ID EXAM-G17-2

Q 3/48CSCA Standardinequalities · Mock 17 · Q3

Elapsed: 0:00

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

Target: ~75s · ID EXAM-G17-3

Q 4/48CSCA Standardinequalities · Mock 17 · Q4

Elapsed: 0:00

$\frac{2x-4}{x-6} \le 0$ : solution set is

Target: ~75s · ID EXAM-G17-4

Q 5/48CSCA Standardinequalities · Mock 17 · Q5

Elapsed: 0:00

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

Target: ~75s · ID EXAM-G17-5

Q 6/48CSCA Standarddomain-range · Mock 17 · Q6

Elapsed: 0:00

The domain of $f(x) = \frac{1}{x} + \sqrt{7-x}$ is

Target: ~75s · ID EXAM-G17-6

Q 7/48CSCA Standarddomain-range · Mock 17 · Q7

Elapsed: 0:00

The domain of $y = \sqrt{x-6}$ is

Target: ~75s · ID EXAM-G17-7

Q 8/48CSCA Standarddomain-range · Mock 17 · Q8

Elapsed: 0:00

The domain of $y = \frac{1}{x+3}$ is

Target: ~75s · ID EXAM-G17-8

Q 9/48CSCA Standardmonotonicity · Mock 17 · Q9

Elapsed: 0:00

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

Target: ~75s · ID EXAM-G17-9

Q 10/48CSCA Standardeven-odd-functions · Mock 17 · Q10

Elapsed: 0:00

About $f(x) = x^4 + 7$ , which is correct?

Target: ~75s · ID EXAM-G17-10

Q 11/48CSCA Standardpower-functions · Mock 17 · Q11

Elapsed: 0:00

The inverse function of $y = x^3+7$ $(x \in \mathbb{R})$ is

Target: ~75s · ID EXAM-G17-11

Q 12/48CSCA Standardexponential-functions · Mock 17 · Q12

Elapsed: 0:00

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

Target: ~75s · ID EXAM-G17-12

Q 13/48CSCA Standardexponential-functions · Mock 17 · Q13

Elapsed: 0:00

Given $a > b$ , which must hold?

Target: ~75s · ID EXAM-G17-13

Q 14/48CSCA Standardlogarithmic-functions · Mock 17 · Q14

Elapsed: 0:00

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

Target: ~75s · ID EXAM-G17-14

Q 15/48CSCA Standardtrigonometric-functions · Mock 17 · Q15

Elapsed: 0:00

Minimum of $y = \cos 6x + 8$ is

Target: ~75s · ID EXAM-G17-15

Q 16/48CSCA Standardtrigonometric-functions · Mock 17 · Q16

Elapsed: 0:00

Which reduction equation is incorrect?

Target: ~75s · ID EXAM-G17-16

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

Elapsed: 0:00

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

Target: ~75s · ID EXAM-G17-17

Q 18/48CSCA Standardtrigonometric-functions · Mock 17 · Q18

Elapsed: 0:00

$\cos\alpha = \frac{6}{10}$ , acute: $\tan\alpha =$

Target: ~75s · ID EXAM-G17-18

Q 19/48CSCA Standardtrigonometric-functions · Mock 17 · Q19

Elapsed: 0:00

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

Target: ~75s · ID EXAM-G17-19

Q 20/48CSCA Standardtrigonometric-functions · Mock 17 · Q20

Elapsed: 0:00

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

Target: ~75s · ID EXAM-G17-20

Q 21/48CSCA Standardtrigonometric-functions · Mock 17 · Q21

Elapsed: 0:00

$\sin 150^\circ =$

Target: ~75s · ID EXAM-G17-21

Q 22/48CSCA Standardtrigonometric-functions · Mock 17 · Q22

Elapsed: 0:00

$\frac{\cos\alpha-\sin\alpha}{\cos\alpha+\sin\alpha} = \frac{1}{2}$ : $\tan\alpha =$

Target: ~75s · ID EXAM-G17-22

Q 23/48CSCA Standardtrigonometric-functions · Mock 17 · Q23

Elapsed: 0:00

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

Target: ~75s · ID EXAM-G17-23

Q 24/48CSCA Standardinverse-functions · Mock 17 · Q24

Elapsed: 0:00

Inverse of $y = 2x - 1$ is

Target: ~75s · ID EXAM-G17-24

Q 25/48CSCA Standardarithmetic-sequences · Mock 17 · Q25

Elapsed: 0:00

$5, a, 17$ arithmetic: $a =$

Target: ~75s · ID EXAM-G17-25

Q 26/48CSCA Standardarithmetic-sequences · Mock 17 · Q26

Elapsed: 0:00

Arithmetic $a_1 = 9$ , $d = -1$ : then $a_{100} =$

Target: ~75s · ID EXAM-G17-26

Q 27/48CSCA Standardarithmetic-sequences · Mock 17 · Q27

Elapsed: 0:00

Arithmetic with $a_7 = 9$ : $S_{13} =$

Target: ~75s · ID EXAM-G17-27

Q 28/48CSCA Standardarithmetic-sequences · Mock 17 · Q28

Elapsed: 0:00

How many are arithmetic: $1,-5,-11,-17$ · $2,4,7,11$ · $3,3,3,3$ · $2,4,8,16$ ?

Target: ~75s · ID EXAM-G17-28

Q 29/48CSCA Standardgeometric-sequences · Mock 17 · Q29

Elapsed: 0:00

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

Target: ~75s · ID EXAM-G17-29

Q 30/48CSCA Standardgeometric-sequences · Mock 17 · Q30

Elapsed: 0:00

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

Target: ~75s · ID EXAM-G17-30

Q 31/48CSCA Standardgeometric-sequences · Mock 17 · Q31

Elapsed: 0:00

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

Target: ~75s · ID EXAM-G17-31

Q 32/48CSCA Standardlines · Mock 17 · Q32

Elapsed: 0:00

Intersection of $y = 2x-2$ and $x-y+4 = 0$ :

Target: ~75s · ID EXAM-G17-32

Q 33/48CSCA Standardlines · Mock 17 · Q33

Elapsed: 0:00

Slope $-5$ through $(0,0)$ : equation is

Target: ~75s · ID EXAM-G17-33

Q 34/48CSCA Standardlines · Mock 17 · Q34

Elapsed: 0:00

Which line is perpendicular to $2x-2 = 0$ ?

Target: ~75s · ID EXAM-G17-34

Q 35/48CSCA Standardlines · Mock 17 · Q35

Elapsed: 0:00

Inclination $30^\circ$ : slope is

Target: ~75s · ID EXAM-G17-35

Q 36/48CSCA Standardlines · Mock 17 · Q36

Elapsed: 0:00

Slope through $A(3,5)$ , $B(8,8)$ :

Target: ~75s · ID EXAM-G17-36

Q 37/48CSCA Standardanalytic-geometry · Mock 17 · Q37

Elapsed: 0:00

Which point is in the third quadrant?

Target: ~75s · ID EXAM-G17-37

Q 38/48CSCA Standardanalytic-geometry · Mock 17 · Q38

Elapsed: 0:00

$|AB| = 5$ , $A(3,1)$ , $B(x,5)$ : $x =$

Target: ~75s · ID EXAM-G17-38

Q 39/48CSCA Standardanalytic-geometry · Mock 17 · Q39

Elapsed: 0:00

$P(-4,-4)$ ; Q symmetric about the x-axis: Q =

Target: ~75s · ID EXAM-G17-39

Q 40/48CSCA Standardcircles · Mock 17 · Q40

Elapsed: 0:00

Circle center $(5,3)$ , radius 5: equation is

Target: ~75s · ID EXAM-G17-40

Q 41/48CSCA Standardcircles · Mock 17 · Q41

Elapsed: 0:00

Circle $x^2+y^2+4x+2y-11 = 0$ : center and radius are

Target: ~75s · ID EXAM-G17-41

Q 42/48CSCA Standardparabolas · Mock 17 · Q42

Elapsed: 0:00

Focus F of $y^2 = 16x$ ; P on parabola with x = 3: $|PF| =$

Target: ~75s · ID EXAM-G17-42

Q 43/48CSCA Standardparabolas · Mock 17 · Q43

Elapsed: 0:00

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

Target: ~75s · ID EXAM-G17-43

Q 44/48CSCA Standardellipses · Mock 17 · Q44

Elapsed: 0:00

Ellipse $\frac{x^2}{81}+\frac{y^2}{77} = 1$ : $|PF_1|+|PF_2| =$

Target: ~75s · ID EXAM-G17-44

Q 45/48CSCA Standardhyperbolas · Mock 17 · Q45

Elapsed: 0:00

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

Target: ~75s · ID EXAM-G17-45

Q 46/48CSCA Standardprobability · Mock 17 · Q46

Elapsed: 0:00

Bag: 6 red, 6 blue. One draw. $P(\text{red}) =$

Target: ~75s · ID EXAM-G17-46

Q 47/48CSCA Standardvectors · Mock 17 · Q47

Elapsed: 0:00

$a = (2,3)$ , $b = (-4,-6)$ : a and b are

Target: ~75s · ID EXAM-G17-47

Q 48/48CSCA Standardcomplex-numbers · Mock 17 · Q48

Elapsed: 0:00

$(z-5i)(5-i) = 26$ : $z =$

Target: ~75s · ID EXAM-G17-48

Mock 17 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<7}A = \{x|2<x<7\}A={x∣2<x<7}, B={x∣x>6}B = \{x|x>6\}B={x∣x>6}: A∩B=A \cap B =A∩B=

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

2x−4x−6≤0\frac{2x-4}{x-6} \le 0x−62x−4​≤0: solution set is

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

The domain of f(x)=1x+7−xf(x) = \frac{1}{x} + \sqrt{7-x}f(x)=x1​+7−x​ is

The domain of y=x−6y = \sqrt{x-6}y=x−6​ is

The domain of y=1x+3y = \frac{1}{x+3}y=x+31​ is

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

About f(x)=x4+7f(x) = x^4 + 7f(x)=x4+7 , which is correct?

The inverse function of y=x3+7y = x^3+7y=x3+7 (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?

Minimum of y=cos⁡6x+8y = \cos 6x + 8y=cos6x+8 is

Which reduction equation is incorrect?

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

cos⁡α=610\cos\alpha = \frac{6}{10}cosα=106​, acute: tan⁡α=\tan\alpha =tanα=

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

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

sin⁡150∘=\sin 150^\circ =sin150∘=

cos⁡α−sin⁡αcos⁡α+sin⁡α=12\frac{\cos\alpha-\sin\alpha}{\cos\alpha+\sin\alpha} = \frac{1}{2}cosα+sinαcosα−sinα​=21​: tan⁡α=\tan\alpha =tanα=

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

Inverse of y=2x−1y = 2x - 1y=2x−1 is

5,a,175, a, 175,a,17 arithmetic: a=a =a=

Arithmetic a1=9a_1 = 9a1​=9, d=−1d = -1d=−1: then a100=a_{100} =a100​=

Arithmetic with a7=9a_7 = 9a7​=9: S13=S_{13} =S13​=

How many are arithmetic: 1,−5,−11,−171,-5,-11,-171,−5,−11,−17 · 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 a1=1a_1 = 1a1​=1, q=2q = 2q=2: S6=S_6 =S6​=

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

Intersection of y=2x−2y = 2x-2y=2x−2 and x−y+4=0x-y+4 = 0x−y+4=0:

Slope −5-5−5 through (0,0)(0,0)(0,0): equation is

Which line is perpendicular to 2x−2=02x-2 = 02x−2=0 ?

Inclination 30∘30^\circ30∘: slope is

Slope through A(3,5)A(3,5)A(3,5) , B(8,8)B(8,8)B(8,8):

Which point is in the third quadrant?

∣AB∣=5|AB| = 5∣AB∣=5, A(3,1)A(3,1)A(3,1), B(x,5)B(x,5)B(x,5): x=x =x=

P(−4,−4)P(-4,-4)P(−4,−4); Q symmetric about the x-axis: Q =

Circle center (5,3)(5,3)(5,3), radius 5: equation is

Circle x2+y2+4x+2y−11=0x^2+y^2+4x+2y-11 = 0x2+y2+4x+2y−11=0: center and radius are

Focus F of y2=16xy^2 = 16xy2=16x; P on parabola with x = 3: ∣PF∣=|PF| =∣PF∣=

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

Ellipse x281+y277=1\frac{x^2}{81}+\frac{y^2}{77} = 181x2​+77y2​=1: ∣PF1∣+∣PF2∣=|PF_1|+|PF_2| =∣PF1​∣+∣PF2​∣=

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

Bag: 6 red, 6 blue. One draw. P(red)=P(\text{red}) =P(red)=

a=(2,3)a = (2,3)a=(2,3), b=(−4,−6)b = (-4,-6)b=(−4,−6): a and b are

(z−5i)(5−i)=26(z-5i)(5-i) = 26(z−5i)(5−i)=26: z=z =z=

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

$A = \{x|2<x<7\}$ , $B = \{x|x>6\}$ : $A \cap B =$

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

$\frac{2x-4}{x-6} \le 0$ : solution set is

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

The domain of $f(x) = \frac{1}{x} + \sqrt{7-x}$ is

The domain of $y = \sqrt{x-6}$ is

The domain of $y = \frac{1}{x+3}$ is

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

About $f(x) = x^4 + 7$ , which is correct?

The inverse function of $y = x^3+7$ $(x \in \mathbb{R})$ 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?

Minimum of $y = \cos 6x + 8$ is

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

$\cos\alpha = \frac{6}{10}$ , acute: $\tan\alpha =$

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

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

$\sin 150^\circ =$

$\frac{\cos\alpha-\sin\alpha}{\cos\alpha+\sin\alpha} = \frac{1}{2}$ : $\tan\alpha =$

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

Inverse of $y = 2x - 1$ is

$5, a, 17$ arithmetic: $a =$

Arithmetic $a_1 = 9$ , $d = -1$ : then $a_{100} =$

Arithmetic with $a_7 = 9$ : $S_{13} =$

How many are arithmetic: $1,-5,-11,-17$ · $2,4,7,11$ · $3,3,3,3$ · $2,4,8,16$ ?

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

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

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

Intersection of $y = 2x-2$ and $x-y+4 = 0$ :

Slope $-5$ through $(0,0)$ : equation is

Which line is perpendicular to $2x-2 = 0$ ?

Inclination $30^\circ$ : slope is

Slope through $A(3,5)$ , $B(8,8)$ :

$|AB| = 5$ , $A(3,1)$ , $B(x,5)$ : $x =$

$P(-4,-4)$ ; Q symmetric about the x-axis: Q =

Circle center $(5,3)$ , radius 5: equation is

Circle $x^2+y^2+4x+2y-11 = 0$ : center and radius are

Focus F of $y^2 = 16x$ ; P on parabola with x = 3: $|PF| =$

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

Ellipse $\frac{x^2}{81}+\frac{y^2}{77} = 1$ : $|PF_1|+|PF_2| =$

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

Bag: 6 red, 6 blue. One draw. $P(\text{red}) =$

$a = (2,3)$ , $b = (-4,-6)$ : a and b are

$(z-5i)(5-i) = 26$ : $z =$