DP Mathematics SL Questionbank

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Directly related questions

• 17N.1.sl.TZ0.4b: The shape in the following diagram is formed by adding a semicircle with diameter [AC] to the...
• 17N.1.sl.TZ0.4a: Show that \({\text{AC}} = 7{\text{ cm}}\).
• 15M.2.sl.TZ2.10b: When \(\theta  = \alpha \), the area of the square \(ABCD\) is equal to the area of the sector...
• 18M.1.sl.TZ2.4: The following diagram shows a circle with centre O and radius r cm. The points A and B lie on...
• 18M.2.sl.TZ1.3b: The area of the shaded region is 12 cm2. Find the value of θ.
• 18M.2.sl.TZ1.3a: Find the area of the shaded region, in terms of θ.
• 17M.2.sl.TZ2.1c: Find the area of sector OABC.
• 17M.2.sl.TZ2.1b: Find the perimeter of sector OABC.
• 17M.2.sl.TZ2.1a: Find the length of arc ABC.
• 17M.2.sl.TZ1.5: The following diagram shows the chord [AB] in a circle of radius 8 cm, where...
• 16M.1.sl.TZ2.5b: Find the exact area of the sector BDC.
• 16M.1.sl.TZ2.5a: Find \({\rm{A\hat BC}}\).
• 16N.2.sl.TZ0.3b: Find the value of \(r\).
• 16N.2.sl.TZ0.3a: Write down the exact value of \(\theta \) in radians.
• 15M.1.sl.TZ1.2b: Find the perimeter of the shaded region.
• 15M.1.sl.TZ1.2a: Find the length of \({\text{arc ACB}}\).
• 12M.2.sl.TZ1.9b: Write down the length of BD.
• 12N.2.sl.TZ0.8a: Find the length of the chord [AB].
• 12N.2.sl.TZ0.8b: Find the area of triangle AOB.
• 12N.2.sl.TZ0.8c: Angle BOC is 2.4 radians. Find the length of arc ADC.
• 12N.2.sl.TZ0.8d: Angle BOC is 2.4 radians. Find the area of the shaded region.
• 12N.2.sl.TZ0.8e: Angle BOC is 2.4 radians. The shaded region is to be painted red. Red paint is sold in cans...
• 12M.2.sl.TZ2.10a: Use the cosine rule to show that \({\rm{PQ}} = 2r\sin \theta \) .
• 12M.2.sl.TZ2.10c(i) and (ii): Consider the function \(f(\theta ) = 2.6\sin \theta  - 2\theta \) , for...
• 12M.2.sl.TZ2.10d: Use the graph of f to find the values of \(\theta \) for which \(l < 1.3{\rm{PQ}}\) .
• 12M.2.sl.TZ2.10b: Let l be the length of the arc PRQ . Given that \(1.3{\rm{PQ}} - l = 0\) , find the value of...
• 08M.2.sl.TZ1.3a: Find the value of r.
• 08M.2.sl.TZ1.3b: Find the perimeter of sector OABC.
• 08M.2.sl.TZ1.3c: Find the area of sector OABC.
• 12M.2.sl.TZ1.9a(i) and (ii): (i)     Show that \({p^2}(41 - 40\cos 0.7) = 36\) . (ii)    Find p .
• 12M.2.sl.TZ1.9c: Find \({\rm{A}}\widehat {\rm{D}}{\rm{B}}\) .
• 12M.2.sl.TZ1.9d(i) and (ii): (i)     Show that \({\rm{C}}\widehat {\rm{B}}{\rm{D}} = 1.29\) radians, correct to 2 decimal...
• 10N.1.sl.TZ0.3a: Find the length of the arc ACB .
• 10N.1.sl.TZ0.3b: Find the area of the shaded region.
• 09N.2.sl.TZ0.8c: Find the area of sector OABC.
• 09M.2.sl.TZ1.2b: Find the area of the shaded region.
• 10M.2.sl.TZ2.8a: Find the size of angle AOC .
• 10M.2.sl.TZ2.8d: Find EF .
• 10M.2.sl.TZ2.8b: Hence find the area of the shaded region.
• 10M.2.sl.TZ2.8c: The area of sector OCDE is \(45{\text{ c}}{{\text{m}}^2}\). Find the size of angle COE .
• SPNone.2.sl.TZ0.7a: Find an expression for the area of the shaded region.
• 11N.2.sl.TZ0.3a: Find the value of \(\theta \) .
• 11N.2.sl.TZ0.3b: Find the area of the shaded region.
• 13M.2.sl.TZ2.7b: The area of the shaded region is \(25\) cm2 . Find the value of \(r\) .
• 14M.2.sl.TZ2.1a(i): Find the length of the arc \({\text{ABC}}\).
• 14M.2.sl.TZ2.1a(ii): Find the perimeter of the shaded sector.
• 14M.2.sl.TZ2.1b: Find the area of the shaded sector.
• 13N.2.sl.TZ0.8c: Hence or otherwise, find the length of arc \({\text{ABC}}\).
• 14N.2.sl.TZ0.3a: Find the length of arc \(ACB\).
• 15N.2.sl.TZ0.1a: Find the length of arc \(ABC\).
• 15N.2.sl.TZ0.1b: Find the area of the shaded region.