NMTC: 2013

Wednesday, November 13, 2013

Something very fishy about mjmathsscholarship exam.....

1. This is the official web site of Manual Joseph but no where it is mentioned about this exam.

http://www.mjmaths.com/index.html

2. Cash award are extra ordinary nature, no exam before in history has given or announced such rewards. Is this the complete market gimmick?

3. Organizers of the exam claiming to have more than 20 lacs students sitting for this exam on a single date, date are yet to be decided. What is more worrisome is that dream world India which is marketing this exam has not mentioned about this exam on its web site even http://www.dreamworldindia.in/.

4. Dream world India which claims to conduct this exam has not conducted any such exam in the past as per details given on the web site.

5. Most of such exams are conducted in 2 stages for better transparency and accountability; however this exam is conducted in the single stage only.

6. Marketing collaterals, enrollment forms and web site don’t look professional enough to conduct exams at such a mammoth level.

However these finding are my own, please use your own judgment regarding participating it.

Wednesday, August 28, 2013

NMTC practice Questions for class VII and VIII

1. Let $ABC$ and $DEF$ be two triangles, such that $AB=DE=20$ , $BC=EF=13$ , and $\angle A = \angle D$ . If $AC-DF=10$ , determine the area of $\triangle ABC$ .

2.In triangle $ABC$ , $AB = 13$ , $BC = 14$ , and $CA = 15$ . Distinct points $D$ , $E$ , and $F$ lie on segments $\overline{BC}$ , $\overline{CA}$ , and $\overline{DE}$ , respectively, such that $\overline{AD} \perp \overline{BC}$ , $\overline{DE} \perp \overline{AC}$ , and $\overline{AF} \perp \overline{BF}$ . The length of

segment $\overline{DF}$ can be written as $\frac{m}{n}$ , where $m$ and $n$ are relatively prime positive integers. What is $m + n$ ?

$\textbf{(A)}\ 18\qquad\textbf{(B)}\ 21\qquad\textbf{(C)}\ 24\qquad\textbf{(D)}\ 27\qquad\textbf{(E)}\ 30$

3.A wire is cut into two pieces, one of length $a$ and the other of length $b$ . The piece of length $a$ is bent to form an equilateral triangle, and the piece of length $b$ is bent to form a regular hexagon. The triangle and the hexagon have equal area. What is $\frac{a}{b}$ ?
$\textbf{(A)}\ 1\qquad\textbf{(B)}\ \frac{\sqrt{6}}{2}\qquad\textbf{(C)}\ \sqrt{3} \qquad\textbf{(D)}\ 2\qquad\textbf{(E)}\ \f...$

4.Define $a\clubsuit b=a^2b-ab^2$ . Which of the following describes the set of points $(x, y)$ for which $x\clubsuit y=y\clubsuit x$ ?
$\textbf{(A)}\ \text{a finite set of points}\\ \qquad\textbf{(B)}\ \text{one line}\\ \qquad\textbf{(C)}\ \text{two parallel li...$

5. In triangle $ABC$ , medians $AD$ and $CE$ intersect at $P$ , $PE=1.5$ , $PD=2$ , and $DE=2.5$ . What is the area of $AEDC$ ?
$\qquad\textbf{(A)}13\qquad\textbf{(B)}13.5\qquad\textbf{(C)}14\qquad\textbf{(D)}14.5\qquad\textbf{(E)}$

6. The number $2013$ has the property that its units digit is the sum of its other digits, that is $2+0+1=3$ . How many integers less than $2013$ but greater than $1000$ share this property?
$\textbf{(A)}\ 33\qquad\textbf{(B)}\ 34\qquad\textbf{(C)}\ 45\qquad\textbf{(D)}\ 46\qquad\textbf{(E)}\ 58$

7. When counting from $3$ to $201$ , $53$ is the $51^\mathrm{st}$ number counted. When counting backwards from $201$ to $3$ , $53$ is the $n^\mathrm{th}$ number counted. What is $n$ ?
$\textbf{(A)}\ 146\qquad\textbf{(B)}\ 147\qquad\textbf{(C)}\ 148\qquad\textbf{(D)}\ 149\qquad\textbf{(E)}\ 150$

8. Six points are equally spaced around a circle of radius 1. Three of these points are the vertices of a triangle that is neither equilateral nor isosceles. What is the area of this triangle?

$\textbf{(A)}\ \frac{\sqrt{3}}{3}\qquad\textbf{(B)}\ \frac{\sqrt{3}}{2}\qquad\textbf{(C)}\ \textbf{1}\qquad\textbf{(D)}\ \sqrt...$

9. Three positive integers are each greater than $1$ , have a product of $27000$ , and are pairwise relatively prime. What is their sum?

$\textbf{(A)}\ 100\qquad\textbf{(B)}\ 137\qquad\textbf{(C)}\ 156\qquad\textbf{(D)}}\ 160\qquad\textbf{(E)}\ 165$

10.Real numbers $x$ and $y$ satisfy the equation $x^2 + y^2 = 10x - 6y - 34$ . What is $x+y$ ?
$\textbf{(A)}\ 1 \qquad\textbf{(B)}\ 2 \qquad\textbf{(C)}\ 3 \qquad\textbf{(D)}\ 6 \qquad\textbf{(E)}\ 8$

NMTC

Pages

Wednesday, November 13, 2013

Something very fishy about mjmathsscholarship exam.....

Thursday, October 10, 2013

National Mathematics Talent Competitions Results 2013

Screening Test Results 2013

Saturday, August 31, 2013

NMTC 2013 answer key

Wednesday, August 28, 2013

NMTC practice Questions for class VII and VIII