NSMQ

NSMQ 2024 Mathematics Fundamentals Round

Review past NSMQ 2024 Mathematics fundamentals round questions with detailed answers and comprehensive explanations

Set 1

Given that two circles with the given equations touch each other externally, find the radius R.

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Set 2

Find the coordinates of the stationary points of the given curve.

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Set 3

Solve the compound linear inequality.

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Set 4

Find the largest value and the least value of…

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Set 5

Express Y in terms of X, assuming θ is acute given…

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Set 6

Find the equation of a curve with gradient dy/dx and passing through A(1, 5).

Simplify…

Find the coordinates of the points of intersection of the quadratic curve and the line.

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Set 9

Find the area in terms of π of the circle with the given equation.

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Set 10

Find the length of the side of a rhombus if the diagonals have lengths…

Solve for real x.

Find the equation of the circle touching the x-axis and passing through the points…

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Set 13

A linear transformation T: (X, Y) → (2X+3Y, 2X−3Y). Find the coordinates of P…

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Set 14

Find the constants A and B…

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Set 15

Find the inverse of the function f(x).

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Set 16

A binary operation m * n = m√2 + n√5. Evaluate…

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Set 17

Find the values of the constants A, B, and C given…

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Set 18

Find an equation in x and y from the given parametric equations.

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Set 19

Find a natural number N such that…

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Set 20

Solve the quadratic inequality.

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Set 21

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