MYP 5 maths eAssessment practice

Practice in the shape of the MYP 5 on-screen exam: three tasks covering all four criteria. Start with the free taster below.

Worth knowing first. The eAssessment is optional: your school decides whether you take it, in MYP 5. Your MYP grade otherwise comes from the tasks your teachers mark through the year. These are our own practice papers, not IB papers. The format we use is from public IB information we couldn't fully check, so ask your MYP coordinator for the current details, or see the IB's on-screen exam page.

The free taster

Four questions, one per kind of task. Criterion C (communicating) counts in every task, so set your working out clearly.

Task 1 · Criterion A

Knowing and understanding

A laptop costs $$ 1250$ when new. Its value falls by $18 %$ each year.

Find its value after 3 years, to the nearest cent. [2]
After how many whole years is its value first below $$ 500$ ? [2]

(a) Each year the value is multiplied by $1 - 0.18 = 0.82$ : $1250 \times {0.82}^{3} = 1250 \times 0.551368 = $ 689.21$ .
(b) $1250 \times {0.82}^{4} = 565.15$ and $1250 \times {0.82}^{5} = 463.43$ , so the value first drops below $$ 500$ after 5 years.

2 steps

The equation $x^{2} + k x + 9 = 0$ has exactly one (repeated) real root.

Find the possible values of $k$ . [3]

A repeated root needs discriminant $0$ :
$k^{2} - 4 (1) (9) = 0$ , $k^{2} = 36$ , $k = \pm 6$ .

2 steps

Task 2 · Criterion B

Investigating patterns

Change $\frac{1}{11}, \frac{2}{11}, \frac{3}{11}, \dots$ into recurring decimals. Investigate how the two-digit repeating block changes as $n$ changes.

Work out the two-digit repeating block for $n = 2, 3, 4, 5$ . Record your results in a table. [2]
Describe the pattern in words. [1]
Write a general rule for the two-digit repeating block in terms of $n$ . [2]
Test your rule: work out the value for $n = 8$ the long way, then with your rule. Do they agree? [2]

Work out the first cases carefully and put them in a table.
The repeating blocks are 09, 18, 27, 36, ... : the 9 times table.
Rule: $9 n$ .
$\frac{n}{11} = \frac{9 n}{99}$ , so $\frac{9 n}{99} = 0. \dot{a} \dot{b}$ and its block is the two-digit number 9n.
Answers: (a) $n = 2$ : 18; $n = 3$ : 27; $n = 4$ : 36; $n = 5$ : 45; (b) The repeating blocks are 09, 18, 27, 36, ... : the 9 times table.; (c) $9 n$ ; (d) Both give 72

5 steps

Task 3 · Criterion D

Applying maths in real-life contexts

A square floor tile has an area of 200 cm². A designer wants to know whether its side length can be written exactly as a decimal.

Before you start: write down the information you need, and anything given that you do not need. What are you asked to find? [1]
Describe your strategy in one or two sentences before you calculate. [1]
Write the side length as a square root, then give it to 2 decimal places. [2]
Is the exact side length rational or irrational? Give a reason. [1]
The designer rounds the side to 1 decimal place to cut the tile. What area does the cut tile really have, to 2 decimal places? [2]
How accurate is your answer? Is it reasonable in real life? Give a reason. [2]
Suggest one way to make the model more realistic, or one piece of extra information that would help. [1]

Side = $\sqrt{200}$ = 14.14 cm (2 dp).
200 is not a square number, so its square root is irrational.
Rounded side 14.1 cm, so area 198.81 cm²: rounding changes the area slightly.
Answers: (a) The key quantities and units in the question, and the quantity to find.; (b) For example: set up an equation or formula from the information, then substitute and solve.; (c) $\sqrt{200}$ cm ≈ 14.14 cm; (d) Irrational: 200 is not a square number, so $\sqrt{200}$ cannot be written as a fraction.; (e) 198.81 cm²; (f) Check the size and the units, and say how rounding or measuring could change it.; (g) For example a factor the question ignores (time, cost changes, waste, variation in real data).

4 steps

The mocks

Free accountTwo mini mocks, standard and extended, about 70 minutes each. Typed answers are marked as you finish, and you see your results by criterion.
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MYP practice written and checked by us. It is not IB material, and IB Math Revision is not affiliated with or endorsed by the IB.