IBDP Maths AI SL Predicted Paper 1 - IB Maths AI Predicted Papers

Question 1

Part a

[1]

Write $7.14 \times 10^{-4}$ as a decimal, correct to 3 significant figures.

Part b

[2]

Simplify $(5^{3} \cdot 5^{-6}) \div 5^{-2}$ . Give your answer as a single power of 5.

Part c

[2]

Solve $10^{2x} = 7.5$ for $x$ . Give your answer to 3 significant figures.

Part d

[1]

A quantity is quoted as $a = 2.45\text{ m}$ to 2 decimal places. State the lower and upper bounds for $a$ .

[6]

A quadratic model is $f(x) = a x^{2} + b x + c$ with vertex at $(2, -5)$ and passing through $(0, 3)$ .

Part a

[2]

Write $f(x)$ in the form $a(x - 2)^{2} - 5$ .

Part b

[3]

Find $a$ , $b$ and $c$ .

Part c

[1]

Using your GDC, estimate the $x$ -intercepts to 3 significant figures.

[6]

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