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SAT ACT Common Core State Standard Math Practice Test Question AMBQID PDF
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SAT Math Practice Test Sample Questions AMQID 101 to 110
SAT Math Practice Test: AMBQID 101
In the given figure, the quadrilateral is a rectangle and both red regions have equal area. Find cosθ.
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SAT Math Practice Test: AMBQID 102
If the product of first 20 prime numbers is divided by 4, then find remainder.
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SAT Math Practice Test: AMBQID 103
If a = 11111…1(55 digits), b = 1 + 10 + 102 + 103 + 104, c = 1 + 105 + 1010 + 1015 + … + 1050, then, which one is correct?
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SAT Math Practice Test: AMBQID 104
In triangle ABC, the median through A is perpendicular to AB, then
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SAT Math Practice Test: AMBQID 105
In the given figure, find the number of parallelograms.
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SAT Math Practice Test: AMBQID 106
Find the slope of line with a positive rational slope, which passes through (6, 0) and at a distance of 5 from (1, 3).
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SAT Math Practice Test: AMBQID 107
If x >= y and y > 1 , then which one cannot be the value of logx(x/y) + logy(y/x).
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SAT Math Practice Test: AMBQID 108
If the equation 2x2 – (N3 + 8N – 1)x + (N2 – 4N) = 0 has roots of opposite sign. Then the value of N cannot be equal to
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SAT Math Practice Test: AMBQID 109
If x = 33n, n is a positive integral. Find the probability that x has 3 in unit place.
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SAT Math Practice Test: AMBQID 110
Find the derivative of loge|x|.
Math Problems to Solve AMBQID 110 Solution :
SAT Math Sample Questions AMQID 111 to 120
SAT Math Sample Questions: AMBQID 111
If area of circle = 30 and area of the triangle = 15, then find the value of sinα + sinβ + sin????.
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SAT Math Sample Questions: AMBQID 112
P(N) = product of digits of N and S(N) = Sum of Digits of N. If N is a two-digits number such that N = P(N) + S(N). Find the number of values of N.
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SAT Math Sample Questions: AMBQID 113
If x = b + c – 2a, y = c + a – 2b, z = a + b – 2c, then find the value of x2 + y2 – z2 + 2xy.
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SAT Math Sample Questions: AMBQID 114
Find the value of cotθ/2 in the figure below.
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SAT Math Sample Questions: AMBQID 115
If n! has four zeroes at the end and (n+1)! has six zeroes at the end. Find the value of n.
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SAT Math Sample Questions: AMBQID 116
In the given figure, find the value of (a + b).
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SAT Math Sample Questions: AMBQID 117
If N = log25^log52^log27^log75^log58, then find the value of N.
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SAT Math Sample Questions: AMBQID 118
If f(x) = x/(x + 1), then find the value of f(1/13) + f(2/12) + f(3/11) + f(4/10) + …f(12/1) + f(13/1) = p/q, where HCF(p, q) = 1, then find the value of (p – q).
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SAT Math Sample Questions: AMBQID 119
Two squares are chosen at random on a chessboard. Find the probability that they have a common side.
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SAT Math Sample Questions: AMBQID 120
Find the limit (x tends to infinity).
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SAT Math Topics Questions AMQID 121 to 130
SAT Math Topics Question: AMBQID 121
O1 and O2 are centres of circles. PQ = 8 and QS = 18. Find AQ.
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SAT Math Topics Question: AMBQID 122
42n + 42n+1 has 42 divisors. Find n
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SAT Math Topics Question: AMBQID 123
If x4 + 1/x4 = 527, then find the value of (x – 1)(x – 2)(x – 3)(x – 4).
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SAT Math Topics Question: AMBQID 124
In the given figure, find the value of (a.tanα.sinθ)/(bcosβ).
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SAT Math Topics Question: AMBQID 125
In the given figure, find the area of square.
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SAT Math Topics Question: AMBQID 126
Find the slope of GC.
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SAT Math Topics Question: AMBQID 127
Find the value of the logarithmic expression as below.
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SAT Math Topics Question: AMBQID 128
Find the sign of a, b, c and D.
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SAT Math Topics Question: AMBQID 129
If (a3 – 1)x2 + (a + b – 1)x + (a + b + c) = 0 has three roots, then find the value of (a – b – c).
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SAT Math Topics Question: AMBQID 130
Find the value of (m9 – 9m3n3 – n9).
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SAT Math Sections Questions AMBQID 131 to 140
SAT Math Sections Question: AMBQID 131
In an isosceles triangle, if perimeter > 3(Length of Base). Find the smallest integral value of largest internal angle.
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SAT Math Sections Question: AMBQID 132
If sum of five different positive integers = 106. Find maximum positive integer among five integers.
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SAT Math Sections Question: AMBQID 133
Find the angle x.
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SAT Math Sections Question: AMBQID 134
If π/2 < α < β < π, which of the following is FALSE?
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SAT Math Sections Question: AMBQID 135
Find the value of (x + y).
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SAT Math Sections Question: AMBQID 136
Find the value of (cot α – cot ????)/cot β.
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SAT Math Sections Question: AMBQID 137
Find the limit (x tends to infinity).
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SAT Math Sections Question: AMBQID 138
If α and β are roots of 2x2 – 35x + 2 = 0. Find value of (2α – 35)3(2β – 35)3.
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SAT Math Sections Question: AMBQID 139
Find perimeter of obtuse angled triangle whose sides are consecutive integers.
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SAT Math Sections Question: AMBQID 140
If x + y = 1050, then find maximum HCF of x and y.
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ACT Math Practice Test Questions AMBQID 141 to 150
ACT Math Practice Test Question: AMBQID 141
Find x in the given figure below.
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ACT Math Practice Test Question: AMBQID 142
Find the unit digit of the given expression.
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ACT Math Practice Test Question: AMBQID 143
Find the value of the given expression.
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ACT Math Practice Test Question: AMBQID 144
Find BC in the figure below.
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ACT Math Practice Test Question: AMBQID 145
O is center of semi-circle (radius = 12) and O’ is center of circle (radius = 4). Then, find AB.
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ACT Math Practice Test Question: AMBQID 146
If (2020!)! is divisible by ((n!)!)!, then find the largest natural number n.
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ACT Math Practice Test Question: AMBQID 147
If x and y are distinct number such that 2020 + x = y2 and 2020 + y = x2, then find the product xy.
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ACT Math Practice Test Question: AMBQID 148
If 3/2 < x < 5/2, then find the value of given expression.
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ACT Math Practice Test Question: AMBQID 149
If N is the smallest natural number such that N = x3 = y5, x and y are distinct integers. Find the sum of digits of N.
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ACT Math Practice Test Question: AMBQID 150
A square with area 30 is divided by a diagonal and then into triangles. Find the areas of some of these triangles are given.
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ACT Math Sample Questions AMBQID 151 to 160
ACT Math Sample Question: AMBQID 151
P is in the interior of triangle ABC. Lines through P parallel to the sides of triangle ABC, then the resulting smaller triangles have areas t1 = 4, t2 = 9, t3 = 49. Find the area of triangle ABC.
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ACT Math Sample Question: AMBQID 152
A triangle ABC have sides a, b, c such that a2 + b2 = 101c2, then find cotC/(cotA + cotB).
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ACT Math Sample Question: AMBQID 153
If a rectangle is divided into three smaller rectangle. Find the perimeter of shaded rectangle.
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ACT Math Sample Question: AMBQID 154
In a triangle ABC with sides a, b, c such that tanA : tanB : tanC = 1 : 2 : 3, then find the value of a : b : c.
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ACT Math Sample Question: AMBQID 155
Find the value of tan(Alpha) x tan(Beeta).
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ACT Math Sample Question: AMBQID 156
Evaluate:
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ACT Math Sample Question: AMBQID 157
ABCD is a rhombus and 2(Alpha) – Beeta = 60 degree, then find theta.
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ACT Math Sample Question: AMBQID 158
If 1/3 + 13/15 + 33/35 + 61/63 + … + 397/399 = x y/z, then find x + y + z.
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ACT Math Sample Question: AMBQID 159
ABCD is a rectangle and OA = OC, then find the angle APD.
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ACT Math Sample Question: AMBQID 160
In the given figure below, ABCD is a rhombus. Find the angle theta.
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ACT Math Topics Questions AMBQID 161 to 170
ACT Math Topic Question: AMBQID 161
In p(x) = x3 + ax2 + bx + c, mean of its roots, product of its roots and the sum of its coefficient are equal. If y-intercept of the graph of y = p(x) is 2, then find the value of b.
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ACT Math Topic Question: AMBQID 162
If AB = CD, then find the value of cot(Alpha) – tan(Beeta).
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ACT Math Topic Question: AMBQID 163
In the given figure below, find the value of tan(Alpha + Beeta).
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ACT Math Topic Question: AMBQID 164
Find the sum of the series.
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ACT Math Topic Question: AMBQID 165
Find the value of tan(Theta).
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ACT Math Topic Question: AMBQID 166
ABCD is a square, then find tan(theta).
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ACT Math Topic Question: AMBQID 167
Evaluate.
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ACT Math Topic Question: AMBQID 168
In the given figure below, find the perimeter of the sector AOB.
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ACT Math Topic Question: AMBQID 169
In the given figure below, find the value of mn.
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ACT Math Topic Question: AMBQID 170
In the given figure below, find the value of CD.
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ACT Math Sections Questions AMBQID 171 to 180
ACT Math Section Question: AMBQID 171
In the figure below, find x.
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ACT Math Section Question: AMBQID 172
In the figure below, find the value of h.
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ACT Math Section Question: AMBQID 173
In the figure below, find r.
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ACT Math Section Question: AMBQID 174
Find OP.
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ACT Math Section Question: AMBQID 175
Find AD.
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ACT Math Section Question: AMBQID 176
Let a, b, c, d, e are distinct integers such that (6 – a)(6 – b)(6 – c)(6 – d)(6 – e) = 45, find the value of (a + b + c + d + e).
Math Problems to Solve AMBQID 176 Solution :
ACT Math Section Question: AMBQID 177
If 12(x!) + 5(x + 1)! = (x + 2)!, find the value of x.
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ACT Math Section Question: AMBQID 178
Find shaded area in the figure below.
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ACT Math Section Question: AMBQID 179
In the given figure below, find the value of L1/L2.
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ACT Math Section Question: AMBQID 180
ABCD is a square of area 9 sq. unit. Q is a point of trisection of BD, then find cot(Alpha/2).
Math Problems to Solve AMBQID 180 Solution :
Common Core Math State Standards Math Practice Test Questions AMBQID 181 to 190
Common Core Math State Standards Math Practice Test: AMBQID 181
If p(x) = x27 + 3x19 + 5x3 – 2x2 – 8 is divided by d(x) = x2 + x + 1, then the remainder r(x). Find r(1).
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Common Core Math State Standards Math Practice Test: AMBQID 182
In the figure below, find AC.
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Common Core Math State Standards Math Practice Test: AMBQID 183
In the figure below, find (b – c).
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Common Core Math State Standards Math Practice Test: AMBQID 184
If cotB = (sin A – sin C) / (cos C – cos A), then A, B, C are in
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Common Core Math State Standards Math Practice Test: AMBQID 185
If ax2 – bx + 5 = 0 does not have two distinct real roots, then minimum value of (5a + b) is
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Common Core Math State Standards Math Practice Test: AMBQID 186
Find ax5 + by5.
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Common Core Math State Standards Math Practice Test: AMBQID 187
Find set of points (x, y) for which sin(X + Y) = sin X + sin Y.
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Common Core Math State Standards Math Practice Test: AMBQID 188
If A(0, -10) and B(2, 0) and C on the parabola y = x2. Find minimum value of area of triangle ABC.
Math Problems to Solve AMBQID 188 Solution :
Common Core Math State Standards Math Practice Test: AMBQID 189
Find number of non-negative integers solutions to the system of the given equations.
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Common Core Math State Standards Math Practice Test: AMBQID 190
Find the type of the triangle ABC.
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CCSS Math Standard Questions AMBQID 191 to 200
CCSS Math Standard Question: AMBQID 191
Evaluate the expression.
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CCSS Math Standard Question: AMBQID 192
If coordinate of vertices of a square ABCD is A(a, 1), B(b, 5), C(c, 11) and D(d, 7), then find the area of square ABCD.
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CCSS Math Standard Question: AMBQID 193
If the sum of digits of product (8) x (8888…up to n digits) is 1000, then find n.
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CCSS Math Standard Question: AMBQID 194
Find |a – b|.
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CCSS Math Standard Question: AMBQID 195
Find the sum.
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CCSS Math Standard Question: AMBQID 196
Find the shaded area.
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CCSS Math Standard Question: AMBQID 197
Find the last digit of smallest positive integer whose the sum of digit is 2021.
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CCSS Math Standard Question: AMBQID 198
Evaluate .
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CCSS Math Standard Question: AMBQID 199
Find smallest three digit number ABC such that ABC = A + B + C + AB + BC + CA + ABC.
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CCSS Math Standard Question: AMBQID 200
If AB = 4, then find the saded area.
Math Problems to Solve AMBQID 200 Solution :
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