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.