IB myp 4-5 MATHEMATICS – Practice Questions- All Topics
Topic :Number–Surds, roots and radicals
Topic :Number- Weightage : 21 %
All Questions for Topic : Absolute Values,Representing and Solving Inequalities,Including compound and double inequalities,Irrational numbers,Surds, roots and radicals, including simplifying,Standard form (scientific notation),Laws of exponents, including integer and negative exponents,Number systems notation,Direct and Inverse Proportion,Number Sequence(Prediction ,Description)
Question (6 Marks)
Question (a) : 3 marks
The table below shows an example of a completed addition grid.
In the addition grid below, write down the missing values, in a simplified exact form.
▶️Answer/Explanation
Ans:
The grid represents the addition of numbers in a square format. Each cell in the grid contains the sum of the numbers indicated by the row and column headings.
Explanation:
$\bullet$ The first-top cell contains $-\sqrt{5}$ because it represents the difference of $2\sqrt{5}$ (row heading) and $\sqrt{45}$ (column heading).
$\bullet$ The cell in the second row and third column contains $3\sqrt{5}$ because it represents the sum of $\sqrt{20}$ (row heading) and $\sqrt{5}$ (column heading).
$\bullet$ The cell in the third row and second column contains $4\sqrt{5}$ because it represents the sum of $\sqrt{45}$ (row heading) and $\sqrt{5}$ (column heading).
By filling in the missing values according to the addition of the corresponding row and column headings, we complete the addition grid. The grid allows us to visualize the sums of the numbers in a structured manner.
Question (b) : 3 marks
The table below shows an example of a completed multiplication grid.
In the multiplication grid below, write down the missing values, in a simplified index form.
▶️Answer/Explanation
Ans:
