CSCA Preparation Platform Free Practice, Mocks & Syllabus

Q 1/48CSCA Standardsets · Mock 04 · Q1

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

Target: ~75s · ID EXAM-G4-1

Q 2/48CSCA Standardsets · Mock 04 · Q2

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$A = \{x|0<x<4\}$ , $B = \{x|x>3\}$ : $A \cap B =$

Target: ~75s · ID EXAM-G4-2

Q 3/48CSCA Standardinequalities · Mock 04 · Q3

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$x^2-4x-5 > 0$ : solution set is

Target: ~75s · ID EXAM-G4-3

Q 4/48CSCA Standardinequalities · Mock 04 · Q4

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

Target: ~75s · ID EXAM-G4-4

Q 5/48CSCA Standardinequalities · Mock 04 · Q5

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

Target: ~75s · ID EXAM-G4-5

Q 6/48CSCA Standarddomain-range · Mock 04 · Q6

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

Target: ~75s · ID EXAM-G4-6

Q 7/48CSCA Standarddomain-range · Mock 04 · Q7

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The domain of $y = \sqrt{x-8}$ is

Target: ~75s · ID EXAM-G4-7

Q 8/48CSCA Standarddomain-range · Mock 04 · Q8

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

Target: ~75s · ID EXAM-G4-8

Q 9/48CSCA Standardmonotonicity · Mock 04 · Q9

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

Target: ~75s · ID EXAM-G4-9

Q 10/48CSCA Standardeven-odd-functions · Mock 04 · Q10

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Which is an odd function?

Target: ~75s · ID EXAM-G4-10

Q 11/48CSCA Standardpower-functions · Mock 04 · Q11

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

Target: ~75s · ID EXAM-G4-11

Q 12/48CSCA Standardexponential-functions · Mock 04 · Q12

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Given $a > b$ , which must hold?

Target: ~75s · ID EXAM-G4-12

Q 13/48CSCA Standardexponential-functions · Mock 04 · Q13

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

Target: ~75s · ID EXAM-G4-13

Q 14/48CSCA Standardlogarithmic-functions · Mock 04 · Q14

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Which logarithm statement is incorrect?

Target: ~75s · ID EXAM-G4-14

Q 15/48CSCA Standardtrigonometric-functions · Mock 04 · Q15

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

Target: ~75s · ID EXAM-G4-15

Q 16/48CSCA Standardtrigonometric-functions · Mock 04 · Q16

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$\sin 150^\circ =$

Target: ~75s · ID EXAM-G4-16

Q 17/48CSCA Standardtrigonometric-functions · Mock 04 · Q17

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Minimum of $y = \cos 8x + 5$ is

Target: ~75s · ID EXAM-G4-17

Q 18/48CSCA Standardtrigonometric-functions · Mock 04 · Q18

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

Target: ~75s · ID EXAM-G4-18

Q 19/48CSCA Standardtrigonometric-functions · Mock 04 · Q19

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

Target: ~75s · ID EXAM-G4-19

Q 20/48CSCA Standardtrigonometric-functions · Mock 04 · Q20

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Which reduction equation is incorrect?

Target: ~75s · ID EXAM-G4-20

Q 21/48CSCA Standardtrigonometric-functions · Mock 04 · Q21

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

Target: ~75s · ID EXAM-G4-21

Q 22/48CSCA Standardtrigonometric-functions · Mock 04 · Q22

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Minimum of $y = \cos 3x + 3$ is

Target: ~75s · ID EXAM-G4-22

Q 23/48CSCA Standardtrigonometric-functions · Mock 04 · Q23

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

Target: ~75s · ID EXAM-G4-23

Q 24/48CSCA Standardinverse-functions · Mock 04 · Q24

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Inverse of $y = 10x + 9$ is

Target: ~75s · ID EXAM-G4-24

Q 25/48CSCA Standardarithmetic-sequences · Mock 04 · Q25

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Arithmetic with $a_7 = 5$ : $S_{13} =$

Target: ~75s · ID EXAM-G4-25

Q 26/48CSCA Standardarithmetic-sequences · Mock 04 · Q26

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Arithmetic $a_1 = 2$ , $d = -3$ : then $a_{101} =$

Target: ~75s · ID EXAM-G4-26

Q 27/48CSCA Standardarithmetic-sequences · Mock 04 · Q27

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$18, a, 20$ arithmetic: $a =$

Target: ~75s · ID EXAM-G4-27

Q 28/48CSCA Standardarithmetic-sequences · Mock 04 · Q28

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Arithmetic $a_1 = -2, a_2 = 2$ : $a_5 =$

Target: ~75s · ID EXAM-G4-28

Q 29/48CSCA Standardgeometric-sequences · Mock 04 · Q29

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Geometric $1,5,25$ : general term is

Target: ~75s · ID EXAM-G4-29

Q 30/48CSCA Standardgeometric-sequences · Mock 04 · Q30

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

Target: ~75s · ID EXAM-G4-30

Q 31/48CSCA Standardgeometric-sequences · Mock 04 · Q31

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

Target: ~75s · ID EXAM-G4-31

Q 32/48CSCA Standardlines · Mock 04 · Q32

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Inclination $30^\circ$ : slope is

Target: ~75s · ID EXAM-G4-32

Q 33/48CSCA Standardlines · Mock 04 · Q33

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Which line is perpendicular to $-4x+4 = 0$ ?

Target: ~75s · ID EXAM-G4-33

Q 34/48CSCA Standardlines · Mock 04 · Q34

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Slope $-5$ through $(4,5)$ : equation is

Target: ~75s · ID EXAM-G4-34

Q 35/48CSCA Standardlines · Mock 04 · Q35

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Intersection of $y = 2x+4$ and $3x-y-1 = 0$ :

Target: ~75s · ID EXAM-G4-35

Q 36/48CSCA Standardlines · Mock 04 · Q36

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

Target: ~75s · ID EXAM-G4-36

Q 37/48CSCA Standardanalytic-geometry · Mock 04 · Q37

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Which point is in the third quadrant?

Target: ~75s · ID EXAM-G4-37

Q 38/48CSCA Standardanalytic-geometry · Mock 04 · Q38

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$P(4,1)$ ; Q symmetric about the x-axis: Q =

Target: ~75s · ID EXAM-G4-38

Q 39/48CSCA Standardanalytic-geometry · Mock 04 · Q39

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Distance $P(-4,-3)$ to $Q(-6,2)$ is

Target: ~75s · ID EXAM-G4-39

Q 40/48CSCA Standardcircles · Mock 04 · Q40

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

Target: ~75s · ID EXAM-G4-40

Q 41/48CSCA Standardcircles · Mock 04 · Q41

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Circle center $(3,4)$ , radius 6: equation is

Target: ~75s · ID EXAM-G4-41

Q 42/48CSCA Standardparabolas · Mock 04 · Q42

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

Target: ~75s · ID EXAM-G4-42

Q 43/48CSCA Standardparabolas · Mock 04 · Q43

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

Target: ~75s · ID EXAM-G4-43

Q 44/48CSCA Standardellipses · Mock 04 · Q44

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

Target: ~75s · ID EXAM-G4-44

Q 45/48CSCA Standardhyperbolas · Mock 04 · Q45

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

Target: ~75s · ID EXAM-G4-45

Q 46/48CSCA Standardprobability · Mock 04 · Q46

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

Target: ~75s · ID EXAM-G4-46

Q 47/48CSCA Standardvectors · Mock 04 · Q47

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

Target: ~75s · ID EXAM-G4-47

Q 48/48CSCA Standardcomplex-numbers · Mock 04 · Q48

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

Target: ~75s · ID EXAM-G4-48

Mock 04 paper

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

A={x∣0<x<4}A = \{x|0<x<4\}A={x∣0<x<4}, B={x∣x>3}B = \{x|x>3\}B={x∣x>3}: A∩B=A \cap B =A∩B=

x2−4x−5>0x^2-4x-5 > 0x2−4x−5>0: solution set is

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

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

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

The domain of y=x−8y = \sqrt{x-8}y=x−8​ is

The domain of y=x−9y = \sqrt{x-9}y=x−9​ is

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

Which is an odd function?

The inverse function of y=x3+2y = x^3+2y=x3+2 (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: sin⁡(α2)=\sin(\frac{\alpha}{2}) =sin(2α​)=

sin⁡150∘=\sin 150^\circ =sin150∘=

Minimum of y=cos⁡8x+5y = \cos 8x + 5y=cos8x+5 is

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

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

Which reduction equation is incorrect?

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

Minimum of y=cos⁡3x+3y = \cos 3x + 3y=cos3x+3 is

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

Inverse of y=10x+9y = 10x + 9y=10x+9 is

Arithmetic with a7=5a_7 = 5a7​=5: S13=S_{13} =S13​=

Arithmetic a1=2a_1 = 2a1​=2, d=−3d = -3d=−3: then a101=a_{101} =a101​=

18,a,2018, a, 2018,a,20 arithmetic: a=a =a=

Arithmetic a1=−2,a2=2a_1 = -2, a_2 = 2a1​=−2,a2​=2: a5=a_5 =a5​=

Geometric 1,5,251,5,251,5,25: general term is

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

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

Inclination 30∘30^\circ30∘: slope is

Which line is perpendicular to −4x+4=0-4x+4 = 0−4x+4=0 ?

Slope −5-5−5 through (4,5)(4,5)(4,5): equation is

Intersection of y=2x+4y = 2x+4y=2x+4 and 3x−y−1=03x-y-1 = 03x−y−1=0:

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

Which point is in the third quadrant?

P(4,1)P(4,1)P(4,1); Q symmetric about the x-axis: Q =

Distance P(−4,−3)P(-4,-3)P(−4,−3) to Q(−6,2)Q(-6,2)Q(−6,2) is

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

Circle center (3,4)(3,4)(3,4), radius 6: equation is

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

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

About ellipse x225+y216=1\frac{x^2}{25}+\frac{y^2}{16} = 125x2​+16y2​=1, correct is

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

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

a=(6,6)a = (6,6)a=(6,6), b=(12,12)b = (12,12)b=(12,12): 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=

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

$A = \{x|0<x<4\}$ , $B = \{x|x>3\}$ : $A \cap B =$

$x^2-4x-5 > 0$ : solution set is

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

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

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

The domain of $y = \sqrt{x-8}$ is

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

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

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

$\sin 150^\circ =$

Minimum of $y = \cos 8x + 5$ is

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

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

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

Minimum of $y = \cos 3x + 3$ is

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

Inverse of $y = 10x + 9$ is

Arithmetic with $a_7 = 5$ : $S_{13} =$

Arithmetic $a_1 = 2$ , $d = -3$ : then $a_{101} =$

$18, a, 20$ arithmetic: $a =$

Arithmetic $a_1 = -2, a_2 = 2$ : $a_5 =$

Geometric $1,5,25$ : general term is

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

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

Inclination $30^\circ$ : slope is

Which line is perpendicular to $-4x+4 = 0$ ?

Slope $-5$ through $(4,5)$ : equation is

Intersection of $y = 2x+4$ and $3x-y-1 = 0$ :

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

$P(4,1)$ ; Q symmetric about the x-axis: Q =

Distance $P(-4,-3)$ to $Q(-6,2)$ is

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

Circle center $(3,4)$ , radius 6: equation is

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

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

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

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

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

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

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