DP Mathematical Studies Questionbank

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Directly related questions

• 18M.1.sl.TZ2.3b.ii: Find the value of x.
• 18M.1.sl.TZ2.3b.i: Write down the length of the Amazon River in cm.
• 18M.1.sl.TZ2.3a: Find the length, in cm, of this line. Give your answer in the form a × 10k , where 1 ≤ a < 10...
• 18M.2.sl.TZ1.6f: The designer claims that the new trash can has a capacity that is at least 40% greater than the...
• 18M.2.sl.TZ1.6e: Using your graphic display calculator, find the value of r which maximizes the value of V.
• 18M.2.sl.TZ1.6d: Show that the volume, V cm3 , of the new trash can is given by \(V = 110\pi {r^3}\).
• 18M.2.sl.TZ1.6c: Find the height of the cylinder, h , of the new trash can, in terms of r.
• 18M.2.sl.TZ1.6b: Find the total volume of the trash can.
• 18M.2.sl.TZ1.1f: Calculate the total length of metal required for one support.
• 18M.2.sl.TZ1.1e: Show that Farmer Brown is incorrect.
• 18M.2.sl.TZ1.1d: Calculate the length of AE.
• 18M.2.sl.TZ1.1c: Calculate the length of MN.
• 18M.2.sl.TZ1.1b: Calculate the total volume of the barn.
• 18M.2.sl.TZ1.1a: Calculate the area of triangle EAD.
• 10M.1.sl.TZ1.5c: Write down your answer to (b) in the form \(a \times {10^n}\), where \(1 \leqslant a < 10\)...
• 11N.1.sl.TZ0.1b.iii: Write your answer to part (a) in the form \(a \times {10^k}\), where 1 ≤ a < 10,...
• 10N.1.sl.TZ0.1a: One of these numbers is written in the form \(a \times {10^k}\) where \(1 \leqslant a < 10\)...
• 10N.1.sl.TZ0.1d: Give your answer to part (c) in the form \(a \times {10^k}\) where \(1 \leqslant a < 10\) and...
• 12N.1.sl.TZ0.3b: Write your answer to part (a) in the form a × 10k where 1 ≤ a < 10 and \(k \in \mathbb{Z}\).
• 12M.1.sl.TZ1.3c: Give your answer to part (b) in the form a×10k, where 1 ≤ a < 10 and \(k \in \mathbb{Z}\).
• 12M.1.sl.TZ2.1b: Write down your value of r in the form a × 10k, where 1 ≤ a < 10 and \(k \in \mathbb{Z}\).
• 09N.1.sl.TZ0.3a: Write down the area of the rectangle in the form a × 10k, where 1 ≤ a < 10, k ∈ \(\mathbb{Z}\).
• 11M.1.sl.TZ1.5c: Write down your answer to (b) in the form \(a \times {10^k}\) , where...
• 11M.1.sl.TZ2.4b: Give your answer to part (a) in the form \(a \times {10^k}\) where \(1 \leqslant a \leqslant 10\)...
• 09M.1.sl.TZ2.1a: Find the perimeter of the rectangle, giving your answer in the form \(a \times {10^k}\), where...
• 13M.1.sl.TZ1.1c: Write your answer to part (b)(ii) in the form a × 10k, where 1 ≤ a < 10, \(k \in \mathbb{Z}\).
• 13M.1.sl.TZ2.1c: Write your answer to part (b)(ii) in the form \(a \times 10^k\), where...
• 07N.1.sl.TZ0.1b: Express your answer to part (a) in the form \(a \times 10^k\), where \(1 \leqslant a < 10\)...
• 08N.1.sl.TZ0.1d: Write down the answer to part (a) in the form \(a \times {10^k}\) , where...
• 08M.1.sl.TZ1.1d: Write your answer to part (c) in the form \(a \times {10^k}\) where...
• 07M.1.sl.TZ0.1b: Calculate \(\sqrt {{{3.87}^5} - {{8.73}^{ - 0.5}}} \), giving your answer (i) correct to the...
• 14M.1.sl.TZ2.1a: Write down this radius, in kilometres, in the form \(a \times {10^k}\), where...
• 14M.1.sl.TZ2.1c: Today is Anna’s 17th birthday. Calculate the total distance that Anna has travelled around the...
• 13N.2.sl.TZ0.2d: Write \({\text{13}}\,{\text{400}}\,{\text{000}}\) in the form \(a \times {10^k}\) where...
• 14M.1.sl.TZ1.1b: Write down your answer to part (a) (i)     correct to two decimal places; (ii)     correct to...
• 15M.1.sl.TZ1.5a: Calculate the volume of the Earth in \({\text{k}}{{\text{m}}^3}\). Give your answer in the form...
• 15M.1.sl.TZ2.1c: Write down your answer to part (b) in the form \(a \times {10^k}\), where...
• 14N.1.sl.TZ0.6b: Write down your answer to part (a) in the form...
• 17N.1.sl.TZ0.3b: Find the distance from the Earth to Polaris in millions of km. Give your answer in the form...
• 17N.1.sl.TZ0.3a: Calculate the time, in minutes, it takes for light from the Sun to reach the Earth.