CSCA Preparation Platform Free Practice, Mocks & Syllabus

Q 1/48CSCA Standardsets · Mock 10 · Q1

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

Target: ~75s · ID EXAM-G10-1

Q 2/48CSCA Standardsets · Mock 10 · Q2

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

Target: ~75s · ID EXAM-G10-2

Q 3/48CSCA Standardinequalities · Mock 10 · Q3

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$x^2-1x-12 > 0$ : solution set is

Target: ~75s · ID EXAM-G10-3

Q 4/48CSCA Standardinequalities · Mock 10 · Q4

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

Target: ~75s · ID EXAM-G10-4

Q 5/48CSCA Standardinequalities · Mock 10 · Q5

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

Target: ~75s · ID EXAM-G10-5

Q 6/48CSCA Standarddomain-range · Mock 10 · Q6

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

Target: ~75s · ID EXAM-G10-6

Q 7/48CSCA Standarddomain-range · Mock 10 · Q7

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The domain of $y = \frac{1}{x-9}$ is

Target: ~75s · ID EXAM-G10-7

Q 8/48CSCA Standarddomain-range · Mock 10 · Q8

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

Target: ~75s · ID EXAM-G10-8

Q 9/48CSCA Standardmonotonicity · Mock 10 · Q9

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

Target: ~75s · ID EXAM-G10-9

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

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Which is an odd function?

Target: ~75s · ID EXAM-G10-10

Q 11/48CSCA Standardpower-functions · Mock 10 · Q11

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

Target: ~75s · ID EXAM-G10-11

Q 12/48CSCA Standardexponential-functions · Mock 10 · Q12

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Given $a > b$ , which must hold?

Target: ~75s · ID EXAM-G10-12

Q 13/48CSCA Standardexponential-functions · Mock 10 · Q13

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

Target: ~75s · ID EXAM-G10-13

Q 14/48CSCA Standardlogarithmic-functions · Mock 10 · Q14

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Which logarithm statement is incorrect?

Target: ~75s · ID EXAM-G10-14

Q 15/48CSCA Standardtrigonometric-functions · Mock 10 · Q15

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

Target: ~75s · ID EXAM-G10-15

Q 16/48CSCA Standardtrigonometric-functions · Mock 10 · Q16

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$\sin 150^\circ =$

Target: ~75s · ID EXAM-G10-16

Q 17/48CSCA Standardtrigonometric-functions · Mock 10 · Q17

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

Target: ~75s · ID EXAM-G10-17

Q 18/48CSCA Standardtrigonometric-functions · Mock 10 · Q18

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

Target: ~75s · ID EXAM-G10-18

Q 19/48CSCA Standardtrigonometric-functions · Mock 10 · Q19

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Minimum of $y = \cos 6x + 4$ is

Target: ~75s · ID EXAM-G10-19

Q 20/48CSCA Standardtrigonometric-functions · Mock 10 · Q20

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

Target: ~75s · ID EXAM-G10-20

Q 21/48CSCA Standardtrigonometric-functions · Mock 10 · Q21

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

Target: ~75s · ID EXAM-G10-21

Q 22/48CSCA Standardtrigonometric-functions · Mock 10 · Q22

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

Target: ~75s · ID EXAM-G10-22

Q 23/48CSCA Standardtrigonometric-functions · Mock 10 · Q23

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

Target: ~75s · ID EXAM-G10-23

Q 24/48CSCA Standardinverse-functions · Mock 10 · Q24

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Inverse of $y = 10x + 2$ is

Target: ~75s · ID EXAM-G10-24

Q 25/48CSCA Standardarithmetic-sequences · Mock 10 · Q25

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How many are arithmetic: $4,9,14,19$ · $2,4,7,11$ · $3,3,3,3$ · $2,4,8,16$ ?

Target: ~75s · ID EXAM-G10-25

Q 26/48CSCA Standardarithmetic-sequences · Mock 10 · Q26

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Arithmetic $a_1 = 5$ , $d = -1$ : then $a_{101} =$

Target: ~75s · ID EXAM-G10-26

Q 27/48CSCA Standardarithmetic-sequences · Mock 10 · Q27

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Arithmetic $a_1 = -6, a_2 = -10$ : $a_5 =$

Target: ~75s · ID EXAM-G10-27

Q 28/48CSCA Standardarithmetic-sequences · Mock 10 · Q28

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Arithmetic with $a_7 = 7$ : $S_{13} =$

Target: ~75s · ID EXAM-G10-28

Q 29/48CSCA Standardgeometric-sequences · Mock 10 · Q29

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Geometric $1,3,9$ : general term is

Target: ~75s · ID EXAM-G10-29

Q 30/48CSCA Standardgeometric-sequences · Mock 10 · Q30

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

Target: ~75s · ID EXAM-G10-30

Q 31/48CSCA Standardgeometric-sequences · Mock 10 · Q31

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

Target: ~75s · ID EXAM-G10-31

Q 32/48CSCA Standardlines · Mock 10 · Q32

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Which line is perpendicular to $-2x+3 = 0$ ?

Target: ~75s · ID EXAM-G10-32

Q 33/48CSCA Standardlines · Mock 10 · Q33

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

Target: ~75s · ID EXAM-G10-33

Q 34/48CSCA Standardlines · Mock 10 · Q34

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Inclination $30^\circ$ : slope is

Target: ~75s · ID EXAM-G10-34

Q 35/48CSCA Standardlines · Mock 10 · Q35

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

Target: ~75s · ID EXAM-G10-35

Q 36/48CSCA Standardlines · Mock 10 · Q36

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Slope through $A(2,-5)$ , $B(4,-10)$ :

Target: ~75s · ID EXAM-G10-36

Q 37/48CSCA Standardanalytic-geometry · Mock 10 · Q37

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Which point is in the third quadrant?

Target: ~75s · ID EXAM-G10-37

Q 38/48CSCA Standardanalytic-geometry · Mock 10 · Q38

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Distance $P(-3,5)$ to $Q(1,2)$ is

Target: ~75s · ID EXAM-G10-38

Q 39/48CSCA Standardanalytic-geometry · Mock 10 · Q39

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Distance $P(-1,5)$ to $Q(-6,0)$ is

Target: ~75s · ID EXAM-G10-39

Q 40/48CSCA Standardcircles · Mock 10 · Q40

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

Target: ~75s · ID EXAM-G10-40

Q 41/48CSCA Standardcircles · Mock 10 · Q41

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

Target: ~75s · ID EXAM-G10-41

Q 42/48CSCA Standardparabolas · Mock 10 · Q42

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About parabola $y^2 = 28x$ , which is correct?

Target: ~75s · ID EXAM-G10-42

Q 43/48CSCA Standardparabolas · Mock 10 · Q43

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Directrix of $y^2 = 8x$ is

Target: ~75s · ID EXAM-G10-43

Q 44/48CSCA Standardellipses · Mock 10 · Q44

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

Target: ~75s · ID EXAM-G10-44

Q 45/48CSCA Standardhyperbolas · Mock 10 · Q45

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

Target: ~75s · ID EXAM-G10-45

Q 46/48CSCA Standardprobability · Mock 10 · Q46

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

Target: ~75s · ID EXAM-G10-46

Q 47/48CSCA Standardvectors · Mock 10 · Q47

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

Target: ~75s · ID EXAM-G10-47

Q 48/48CSCA Standardcomplex-numbers · Mock 10 · Q48

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$z^3 = 1$ , $z \ne 1$ : $1+z+\cdots+z^{999} =$

Target: ~75s · ID EXAM-G10-48

Mock 10 paper

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

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

x2−1x−12>0x^2-1x-12 > 0x2−1x−12>0: solution set is

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

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

The domain of y=x−1y = \sqrt{x-1}y=x−1​ is

The domain of y=1x−9y = \frac{1}{x-9}y=x−91​ is

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

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

Which is an odd function?

The inverse function of y=x3+5y = x^3+5y=x3+5 (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?

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

sin⁡150∘=\sin 150^\circ =sin150∘=

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

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

Minimum of y=cos⁡6x+4y = \cos 6x + 4y=cos6x+4 is

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

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

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

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

Inverse of y=10x+2y = 10x + 2y=10x+2 is

How many are arithmetic: 4,9,14,194,9,14,194,9,14,19 · 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 ?

Arithmetic a1=5a_1 = 5a1​=5, d=−1d = -1d=−1: then a101=a_{101} =a101​=

Arithmetic a1=−6,a2=−10a_1 = -6, a_2 = -10a1​=−6,a2​=−10: a5=a_5 =a5​=

Arithmetic with a7=7a_7 = 7a7​=7: S13=S_{13} =S13​=

Geometric 1,3,91,3,91,3,9: general term is

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

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

Which line is perpendicular to −2x+3=0-2x+3 = 0−2x+3=0 ?

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

Inclination 30∘30^\circ30∘: slope is

Slope −2-2−2 through (1,2)(1,2)(1,2): equation is

Slope through A(2,−5)A(2,-5)A(2,−5) , B(4,−10)B(4,-10)B(4,−10):

Which point is in the third quadrant?

Distance P(−3,5)P(-3,5)P(−3,5) to Q(1,2)Q(1,2)Q(1,2) is

Distance P(−1,5)P(-1,5)P(−1,5) to Q(−6,0)Q(-6,0)Q(−6,0) is

Circle center (2,2)(2,2)(2,2), radius 5: equation is

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

About parabola y2=28xy^2 = 28xy2=28x, which is correct?

Directrix of y2=8xy^2 = 8xy2=8x is

About ellipse x29+y225=1\frac{x^2}{9}+\frac{y^2}{25} = 19x2​+25y2​=1, correct is

Foci of x236−y264=1\frac{x^2}{36} - \frac{y^2}{64} = 136x2​−64y2​=1 are

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

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

z3=1z^3 = 1z3=1, z≠1z \ne 1z=1: 1+z+⋯+z999=1+z+\cdots+z^{999} =1+z+⋯+z999=

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

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

$x^2-1x-12 > 0$ : solution set is

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

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

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

The domain of $y = \frac{1}{x-9}$ is

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

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

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

Given $a > b$ , which must hold?

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

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

$\sin 150^\circ =$

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

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

Minimum of $y = \cos 6x + 4$ is

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

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

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

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

Inverse of $y = 10x + 2$ is

How many are arithmetic: $4,9,14,19$ · $2,4,7,11$ · $3,3,3,3$ · $2,4,8,16$ ?

Arithmetic $a_1 = 5$ , $d = -1$ : then $a_{101} =$

Arithmetic $a_1 = -6, a_2 = -10$ : $a_5 =$

Arithmetic with $a_7 = 7$ : $S_{13} =$

Geometric $1,3,9$ : general term is

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

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

Which line is perpendicular to $-2x+3 = 0$ ?

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

Inclination $30^\circ$ : slope is

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

Slope through $A(2,-5)$ , $B(4,-10)$ :

Distance $P(-3,5)$ to $Q(1,2)$ is

Distance $P(-1,5)$ to $Q(-6,0)$ is

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

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

About parabola $y^2 = 28x$ , which is correct?

Directrix of $y^2 = 8x$ is

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

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

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

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

$z^3 = 1$ , $z \ne 1$ : $1+z+\cdots+z^{999} =$