DP Mathematical Studies Questionbank
Simple two-dimensional shapes and their properties, including perimeters and areas of circles, triangles, quadrilaterals and compound shapes.
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- 10M.1.sl.TZ1.7a.i: Write down the length of BM in cm.
- 10N.1.sl.TZ0.14c: The owner of the garden puts a fence around the shaded region. Find the length of this fence.
- 10N.1.sl.TZ0.12a: Write down the size of angle AOB.
- 10N.2.sl.TZ0.2f: The distance between A and D is \(\sqrt {45} \). (i) Find the distance between D and R . (ii)...
- 12N.1.sl.TZ0.4a: Find the radius of the circle.
- 10M.2.sl.TZ2.4a.i: Calculate the total area to be paved. Give your answer in cm2.
- 12M.2.sl.TZ1.3a: Find the area of the base of the cylinder.
- 12M.1.sl.TZ2.7b: Write down the size of angle CAB.
- 12M.1.sl.TZ2.7a: Write down the size of angle CBA.
- 12M.2.sl.TZ2.4a: (i) Write down the length of OM . (ii) Find the length of VM .
- 12M.2.sl.TZ2.4b: Find the area of triangle VBC .
- 12M.2.sl.TZ2.5a: Show that y =12 − 3x .
- 11N.2.sl.TZ0.5a: Initially, a seat C is vertically below the centre of the wheel, O. It then rotates in an...
- 11M.1.sl.TZ1.5a: Write down the radius of the satellite’s orbit.
- 11M.1.sl.TZ1.5b: Calculate the distance travelled by the satellite in one orbit of the Earth. Give your answer...
- 11M.1.sl.TZ1.10b: Find the area of the shaded triangle.
- 09M.2.sl.TZ1.3f: The distance between D and E is \(\sqrt{20}\). Find the area of triangle ADE.
- 09M.2.sl.TZ2.3c: The farmer wants to build a fence around ABD. Calculate the total length of the fence.
- 11M.1.sl.TZ2.4a: Calculate the distance travelled by the Earth in one day.
- 09M.1.sl.TZ2.1b: Find the area of the rectangle, giving your answer correct to the nearest thousand square...
- 11M.1.sl.TZ2.15c: Write down the value of the perimeter of the triangle.
- 13M.2.sl.TZ1.5a: Write down the size of angle AQB.
- 13M.2.sl.TZ1.5f: Calculate the total area of the glass needed to construct (i) the two rectangular faces of the...
- 11M.2.sl.TZ2.4a: Write down the size of angle ABC.
- 13M.1.sl.TZ2.9a: Write down the total area of the flag.
- 13M.2.sl.TZ2.3c: Write down the area of the rectangle STVR.
- 07M.1.sl.TZ0.15a: The length of one side of a rectangle is 2 cm longer than its width. If the smaller side is x...
- 07M.1.sl.TZ0.15c: The length of one side of a rectangle is 2 cm longer than its width. The perimeter of a square...
- 07M.1.sl.TZ0.15b: The length of one side of a rectangle is 2 cm longer than its width. The perimeter of a square...
- 07M.2.sl.TZ0.2ii.a: (i) Find the value of angle \({\text{B}}\hat {\rm T}{\text{L}}\). (ii) Use triangle BTL to...
- SPM.2.sl.TZ0.6a: Calculate(i) the area of the base of the wastepaper bin;(ii) the height, \(h\) , of...
- 08N.2.sl.TZ0.2b: (i) Write down the size of angle BCA. (ii) Calculate the length of AB.
- 08M.1.sl.TZ1.7a: Sketch the triangle writing in the side length and angles.
- 08M.1.sl.TZ1.14a: Calculate the distance that Michael travels.
- 08M.1.sl.TZ2.3a: (i) Sketch a diagram to illustrate this information. Label the points \({\text{A, B, C}}\). Show...
- 08M.1.sl.TZ2.3b: Point \({\text{D}}\) is on the straight line \({\text{AC}}\) extended and is such that angle...
- 08M.2.sl.TZ2.5c: \({\text{OBCD}}\) is a trapezium. The \(y\)-coordinate of point \({\text{D}}\) is \(4\). Show...
- 09N.1.sl.TZ0.7c: Determine whether the converse of statement p is always true. Give an example to justify your...
- 10M.2.sl.TZ2.4a.ii: Write down the area of each brick.
- 10M.2.sl.TZ2.4b.ii: Hence write down the perimeter of the triangular lawn.
- 14M.1.sl.TZ2.1b: The Earth travels around the Sun in one orbit. It takes one year for the Earth to complete one...
- 14M.1.sl.TZ2.6a: Write down an expression for the area, \(A\), in \({{\text{m}}^2}\), of the carpet.
- 13N.1.sl.TZ0.5c: \({\text{D}}\) is the point on \({\text{AB}}\) such that \(\tan ({\rm{D\hat CB}}) = 0.6\). Find...
- 15M.1.sl.TZ2.8a: Write down the length of \({\rm{MB}}\).
- 15M.1.sl.TZ2.8b: Find the size of angle \({\rm{C\hat MB}}\).
- 15M.1.sl.TZ2.15a: Site S has a width of \(20\) m. Write down the area of S.
- 14N.1.sl.TZ0.2b: The distance between points \({\text{A}}\) and \({\text{C}}\) is \(\sqrt {500} \). Calculate the...
- 14N.1.sl.TZ0.8b: State which polygons from Tuti’s list are elements of (i) \(A \cap B\); (ii) ...
- 14N.1.sl.TZ0.9b: The area of the swimming pool is \({\text{112}}{{\text{m}}^2}\). Write down a second equation...
- 14N.1.sl.TZ0.8a: Complete the Venn diagram by placing the letter corresponding to each polygon in the appropriate...
- 14N.1.sl.TZ0.9a: Write down an equation for \(x\) and \(y\).
- 14N.2.sl.TZ0.3a: Show that the slant height, \(l\), is \(5\) m, correct to the nearest metre.
- 14N.2.sl.TZ0.3b: (i) Find the circumference of the base of the cone. (ii) Find the radius, \(r\), of the...
- 14N.2.sl.TZ0.4a: (i) Find the size of angle \({\rm{ACB}}\). (ii) Show that the size of angle...
- 14N.2.sl.TZ0.4b: The surveyor measures the size of angle \({\text{CDE}}\) to be twice that of angle...
- 14N.2.sl.TZ0.3c: A company designs cone-shaped tents to resemble the traditional tepees. These cone-shaped tents...
- 14N.2.sl.TZ0.6e: Calculate the value of \(a\).
- 14N.2.sl.TZ0.6d: The area of triangle AOB is three times the area of triangle OBC. Find an expression, in terms...
