# MAT - Paper 2011 - Q1C

> Source: https://ollybritton.com/notes/maths/problems/mat/2011/q1c/ · Updated: 2021-08-09 · Tags: notes, mat

## Flashcards
##### What is $13^2$??
$$
169
$$

##### What is $14^2$??
$$
196
$$

##### What is $15^2$??
$$
225
$$

##### What is $16^2$??
$$
256
$$

##### What is $17^2$??
$$
289
$$

##### What is $18^2$??
$$
324
$$

##### What is $19^2$??
$$
361
$$

##### What is $20^2$??
$$
400
$$
##### How can you simplify $$\frac{-15 \pm \sqrt{321}}{-6}$$??
$$
\frac{15 \pm \sqrt{321}}{6}
$$

##### If you're trying to find integer solutions to $f(n) < 0$ where $f(n)$ is a quadratic, what do you know about the relationship between the roots $\alpha$ and $\beta$ and the possible solutions??
$$
\alpha < x < \beta
$$

##### How can you tell if a quadratic is factorable frm the coefficients $ax^2 + bx + c$??
If the discriminant is a perfect square, then you can factorise it.

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