CSCA Preparation Platform Free Practice, Mocks & Syllabus

Q 1/48CSCA Standardsets · Mock 08 · Q1

Elapsed: 0:00

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

Target: ~75s · ID EXAM-G8-1

Q 2/48CSCA Standardsets · Mock 08 · Q2

Elapsed: 0:00

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

Target: ~75s · ID EXAM-G8-2

Q 3/48CSCA Standardinequalities · Mock 08 · Q3

Elapsed: 0:00

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

Target: ~75s · ID EXAM-G8-3

Q 4/48CSCA Standardinequalities · Mock 08 · Q4

Elapsed: 0:00

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

Target: ~75s · ID EXAM-G8-4

Q 5/48CSCA Standardinequalities · Mock 08 · Q5

Elapsed: 0:00

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

Target: ~75s · ID EXAM-G8-5

Q 6/48CSCA Standarddomain-range · Mock 08 · Q6

Elapsed: 0:00

The domain of $f(x) = \frac{1}{x} + \sqrt{8-x}$ is

Target: ~75s · ID EXAM-G8-6

Q 7/48CSCA Standarddomain-range · Mock 08 · Q7

Elapsed: 0:00

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

Target: ~75s · ID EXAM-G8-7

Q 8/48CSCA Standarddomain-range · Mock 08 · Q8

Elapsed: 0:00

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

Target: ~75s · ID EXAM-G8-8

Q 9/48CSCA Standardmonotonicity · Mock 08 · Q9

Elapsed: 0:00

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

Target: ~75s · ID EXAM-G8-9

Q 10/48CSCA Standardeven-odd-functions · Mock 08 · Q10

Elapsed: 0:00

Which is an odd function?

Target: ~75s · ID EXAM-G8-10

Q 11/48CSCA Standardpower-functions · Mock 08 · Q11

Elapsed: 0:00

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

Target: ~75s · ID EXAM-G8-11

Q 12/48CSCA Standardexponential-functions · Mock 08 · Q12

Elapsed: 0:00

Given $a > b$ , which must hold?

Target: ~75s · ID EXAM-G8-12

Q 13/48CSCA Standardexponential-functions · Mock 08 · Q13

Elapsed: 0:00

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

Target: ~75s · ID EXAM-G8-13

Q 14/48CSCA Standardlogarithmic-functions · Mock 08 · Q14

Elapsed: 0:00

Which logarithm statement is incorrect?

Target: ~75s · ID EXAM-G8-14

Q 15/48CSCA Standardtrigonometric-functions · Mock 08 · Q15

Elapsed: 0:00

$\sin 120^\circ =$

Target: ~75s · ID EXAM-G8-15

Q 16/48CSCA Standardtrigonometric-functions · Mock 08 · Q16

Elapsed: 0:00

$\sin 150^\circ =$

Target: ~75s · ID EXAM-G8-16

Q 17/48CSCA Standardtrigonometric-functions · Mock 08 · Q17

Elapsed: 0:00

$\sin 135^\circ =$

Target: ~75s · ID EXAM-G8-17

Q 18/48CSCA Standardtrigonometric-functions · Mock 08 · Q18

Elapsed: 0:00

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

Target: ~75s · ID EXAM-G8-18

Q 19/48CSCA Standardtrigonometric-functions · Mock 08 · Q19

Elapsed: 0:00

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

Target: ~75s · ID EXAM-G8-19

Q 20/48CSCA Standardtrigonometric-functions · Mock 08 · Q20

Elapsed: 0:00

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

Target: ~75s · ID EXAM-G8-20

Q 21/48CSCA Standardtrigonometric-functions · Mock 08 · Q21

Elapsed: 0:00

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

Target: ~75s · ID EXAM-G8-21

Q 22/48CSCA Standardtrigonometric-functions · Mock 08 · Q22

Elapsed: 0:00

$\sin\alpha = \frac{3}{5}$ , second quadrant: $\cos\alpha =$

Target: ~75s · ID EXAM-G8-22

Q 23/48CSCA Standardtrigonometric-functions · Mock 08 · Q23

Elapsed: 0:00

$\cos\alpha = \frac{3}{5}$ , acute: $\tan\alpha =$

Target: ~75s · ID EXAM-G8-23

Q 24/48CSCA Standardinverse-functions · Mock 08 · Q24

Elapsed: 0:00

Inverse of $y = 10x + 7$ is

Target: ~75s · ID EXAM-G8-24

Q 25/48CSCA Standardarithmetic-sequences · Mock 08 · Q25

Elapsed: 0:00

Arithmetic $a_1 = 4$ , $d = -2$ : then $a_{101} =$

Target: ~75s · ID EXAM-G8-25

Q 26/48CSCA Standardarithmetic-sequences · Mock 08 · Q26

Elapsed: 0:00

Arithmetic $a_1 = 7$ , $d = -1$ : then $a_{50} =$

Target: ~75s · ID EXAM-G8-26

Q 27/48CSCA Standardarithmetic-sequences · Mock 08 · Q27

Elapsed: 0:00

Arithmetic $a_1 = 8$ , $d = 5$ : then $a_{100} =$

Target: ~75s · ID EXAM-G8-27

Q 28/48CSCA Standardarithmetic-sequences · Mock 08 · Q28

Elapsed: 0:00

Arithmetic $a_1 = 6$ , $d = -1$ : then $a_{101} =$

Target: ~75s · ID EXAM-G8-28

Q 29/48CSCA Standardgeometric-sequences · Mock 08 · Q29

Elapsed: 0:00

Geometric $1,2,4$ : general term is

Target: ~75s · ID EXAM-G8-29

Q 30/48CSCA Standardgeometric-sequences · Mock 08 · Q30

Elapsed: 0:00

$\frac{1}{2}, -\frac{1}{4}, \frac{1}{8}, \ldots$ : $a_n =$

Target: ~75s · ID EXAM-G8-30

Q 31/48CSCA Standardgeometric-sequences · Mock 08 · Q31

Elapsed: 0:00

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

Target: ~75s · ID EXAM-G8-31

Q 32/48CSCA Standardlines · Mock 08 · Q32

Elapsed: 0:00

Slope through $A(0,-3)$ , $B(4,-8)$ :

Target: ~75s · ID EXAM-G8-32

Q 33/48CSCA Standardlines · Mock 08 · Q33

Elapsed: 0:00

Slope through $A(1,0)$ , $B(3,-5)$ :

Target: ~75s · ID EXAM-G8-33

Q 34/48CSCA Standardlines · Mock 08 · Q34

Elapsed: 0:00

Slope through $A(-3,-4)$ , $B(-4,-7)$ :

Target: ~75s · ID EXAM-G8-34

Q 35/48CSCA Standardlines · Mock 08 · Q35

Elapsed: 0:00

Slope through $A(-2,3)$ , $B(-6,-2)$ :

Target: ~75s · ID EXAM-G8-35

Q 36/48CSCA Standardlines · Mock 08 · Q36

Elapsed: 0:00

Slope through $A(4,-4)$ , $B(6,-1)$ :

Target: ~75s · ID EXAM-G8-36

Q 37/48CSCA Standardanalytic-geometry · Mock 08 · Q37

Elapsed: 0:00

Which point is in the third quadrant?

Target: ~75s · ID EXAM-G8-37

Q 38/48CSCA Standardanalytic-geometry · Mock 08 · Q38

Elapsed: 0:00

$P(3,-1)$ ; Q symmetric about the y-axis: Q =

Target: ~75s · ID EXAM-G8-38

Q 39/48CSCA Standardanalytic-geometry · Mock 08 · Q39

Elapsed: 0:00

Distance $P(-3,-5)$ to $Q(-8,-3)$ is

Target: ~75s · ID EXAM-G8-39

Q 40/48CSCA Standardcircles · Mock 08 · Q40

Elapsed: 0:00

Circle center $(5,-2)$ , radius 6: equation is

Target: ~75s · ID EXAM-G8-40

Q 41/48CSCA Standardcircles · Mock 08 · Q41

Elapsed: 0:00

Circle $x^2+y^2-10x+8y+5 = 0$ : center and radius are

Target: ~75s · ID EXAM-G8-41

Q 42/48CSCA Standardparabolas · Mock 08 · Q42

Elapsed: 0:00

Focus F of $y^2 = 4x$ ; P on parabola with x = 3: $|PF| =$

Target: ~75s · ID EXAM-G8-42

Q 43/48CSCA Standardparabolas · Mock 08 · Q43

Elapsed: 0:00

About parabola $y^2 = 16x$ , which is correct?

Target: ~75s · ID EXAM-G8-43

Q 44/48CSCA Standardellipses · Mock 08 · Q44

Elapsed: 0:00

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

Target: ~75s · ID EXAM-G8-44

Q 45/48CSCA Standardhyperbolas · Mock 08 · Q45

Elapsed: 0:00

Foci of $\frac{x^2}{64} - \frac{y^2}{36} = 1$ are

Target: ~75s · ID EXAM-G8-45

Q 46/48CSCA Standardprobability · Mock 08 · Q46

Elapsed: 0:00

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

Target: ~75s · ID EXAM-G8-46

Q 47/48CSCA Standardvectors · Mock 08 · Q47

Elapsed: 0:00

$a = (6,5)$ , $b = (12,10)$ : a and b are

Target: ~75s · ID EXAM-G8-47

Q 48/48CSCA Standardcomplex-numbers · Mock 08 · Q48

Elapsed: 0:00

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

Target: ~75s · ID EXAM-G8-48

Mock 08 paper

A={7,8,9,10,11}A = \{7,8,9,10,11\}A={7,8,9,10,11}: 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=

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

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

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

The domain of f(x)=1x+8−xf(x) = \frac{1}{x} + \sqrt{8-x}f(x)=x1​+8−x​ is

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

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

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

Which is an odd function?

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

sin⁡120∘=\sin 120^\circ =sin120∘=

sin⁡150∘=\sin 150^\circ =sin150∘=

sin⁡135∘=\sin 135^\circ =sin135∘=

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

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

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

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

sin⁡α=35\sin\alpha = \frac{3}{5}sinα=53​, second quadrant: cos⁡α=\cos\alpha =cosα=

cos⁡α=35\cos\alpha = \frac{3}{5}cosα=53​, acute: tan⁡α=\tan\alpha =tanα=

Inverse of y=10x+7y = 10x + 7y=10x+7 is

Arithmetic a1=4a_1 = 4a1​=4, d=−2d = -2d=−2: then a101=a_{101} =a101​=

Arithmetic a1=7a_1 = 7a1​=7, d=−1d = -1d=−1: then a50=a_{50} =a50​=

Arithmetic a1=8a_1 = 8a1​=8, d=5d = 5d=5: then a100=a_{100} =a100​=

Arithmetic a1=6a_1 = 6a1​=6, d=−1d = -1d=−1: then a101=a_{101} =a101​=

Geometric 1,2,41,2,41,2,4: general term is

12,−14,18,…\frac{1}{2}, -\frac{1}{4}, \frac{1}{8}, \ldots21​,−41​,81​,…: an=a_n =an​=

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

Slope through A(0,−3)A(0,-3)A(0,−3) , B(4,−8)B(4,-8)B(4,−8):

Slope through A(1,0)A(1,0)A(1,0) , B(3,−5)B(3,-5)B(3,−5):

Slope through A(−3,−4)A(-3,-4)A(−3,−4) , B(−4,−7)B(-4,-7)B(−4,−7):

Slope through A(−2,3)A(-2,3)A(−2,3) , B(−6,−2)B(-6,-2)B(−6,−2):

Slope through A(4,−4)A(4,-4)A(4,−4) , B(6,−1)B(6,-1)B(6,−1):

Which point is in the third quadrant?

P(3,−1)P(3,-1)P(3,−1); Q symmetric about the y-axis: Q =

Distance P(−3,−5)P(-3,-5)P(−3,−5) to Q(−8,−3)Q(-8,-3)Q(−8,−3) is

Circle center (5,−2)(5,-2)(5,−2), radius 6: equation is

Circle x2+y2−10x+8y+5=0x^2+y^2-10x+8y+5 = 0x2+y2−10x+8y+5=0: center and radius are

Focus F of y2=4xy^2 = 4xy2=4x; P on parabola with x = 3: ∣PF∣=|PF| =∣PF∣=

About parabola y2=16xy^2 = 16xy2=16x, which is correct?

About ellipse x216+y225=1\frac{x^2}{16}+\frac{y^2}{25} = 116x2​+25y2​=1, correct is

Foci of x264−y236=1\frac{x^2}{64} - \frac{y^2}{36} = 164x2​−36y2​=1 are

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

a=(6,5)a = (6,5)a=(6,5), b=(12,10)b = (12,10)b=(12,10): 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?

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

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

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

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

The domain of $f(x) = \frac{1}{x} + \sqrt{8-x}$ is

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

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

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

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

Given $a > b$ , which must hold?

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

$\sin 120^\circ =$

$\sin 150^\circ =$

$\sin 135^\circ =$

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

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

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

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

$\sin\alpha = \frac{3}{5}$ , second quadrant: $\cos\alpha =$

$\cos\alpha = \frac{3}{5}$ , acute: $\tan\alpha =$

Inverse of $y = 10x + 7$ is

Arithmetic $a_1 = 4$ , $d = -2$ : then $a_{101} =$

Arithmetic $a_1 = 7$ , $d = -1$ : then $a_{50} =$

Arithmetic $a_1 = 8$ , $d = 5$ : then $a_{100} =$

Arithmetic $a_1 = 6$ , $d = -1$ : then $a_{101} =$

Geometric $1,2,4$ : general term is

$\frac{1}{2}, -\frac{1}{4}, \frac{1}{8}, \ldots$ : $a_n =$

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

Slope through $A(0,-3)$ , $B(4,-8)$ :

Slope through $A(1,0)$ , $B(3,-5)$ :

Slope through $A(-3,-4)$ , $B(-4,-7)$ :

Slope through $A(-2,3)$ , $B(-6,-2)$ :

Slope through $A(4,-4)$ , $B(6,-1)$ :

$P(3,-1)$ ; Q symmetric about the y-axis: Q =

Distance $P(-3,-5)$ to $Q(-8,-3)$ is

Circle center $(5,-2)$ , radius 6: equation is

Circle $x^2+y^2-10x+8y+5 = 0$ : center and radius are

Focus F of $y^2 = 4x$ ; P on parabola with x = 3: $|PF| =$

About parabola $y^2 = 16x$ , which is correct?

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

Foci of $\frac{x^2}{64} - \frac{y^2}{36} = 1$ are

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

$a = (6,5)$ , $b = (12,10)$ : a and b are

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