Questions

From Worst to Best

31 P4.AN.JM.17092871

Level 3
The figure shows a piece of square paper ABCD folded at two of its corners B and D. Given that ∠CFD = 81° and ∠BEC = 78°, find ∠BCD.

3 m

Attempt

32 P4.AN.JM.17092847

Level 3
The figure shows a piece of rectangular paper ABCD folded at two of its corners C and D. ∠DFE is 6° larger than ∠CFG but it is half the size of ∠CFD. Find ∠CFD.

3 m

Attempt

Rectangle Angles on a straight line Overlapping angles Folded figure Model Comparison Units method

33 P4.AN.JM.17092845

Level 3
The figure shows a piece of rectangular paper ABCD folded at one of its corners A. ∠AEB is 4 times as large as ∠AEF. Find ∠AEB.

3 m

Attempt

Rectangle Angles on a straight line Overlapping angles Folded figure Model Times-as-many Units method

34 P5.AN.JM.17083192

Level 2
In the figure, VOW is a straight line and both ∠UOX and ∠ZOY are right angles. Given that ∠VOZ = 21° and ∠UOW = 67°, find ∠YOX.

3 m

Video Attempt

Right angle Angles on a straight line Overlapping angles

35 P6.AN.NK.17052212

Level 3
A rectangular piece of paper is folded along the diagonal as shown in Figure B. It is folded again as shown in Figure C before the last fold in Figure D. If the angle is 62° in Figure D, what is ∠a?

3 m

Attempt

Rectangle Overlapping angles Folded figure

36 P6.AN.NK.17052208

Level 3
Two corners of a square are folded as shown in the figure. Find ∠ABC.

3 m

Attempt

Square Angles sum of triangle Overlapping angles Folded figure

37 P6.AN.NK.17052203

Level 3
The figure shows a rectangle ABCD being folded along AT. Given that ∠TAC = 18° find

∠y
∠z

3 m

Attempt

Rectangle Angles sum of triangle Overlapping angles Folded figure

38 P6.AN.NK.17051749

Level 3
The figure is not drawn to scale. EFCH is a square. ABCD and CXYZ are similar rectangles which overlap to form ∠s. Given that ∠FCX = 37° and that ∠HCD = ∠BCH, find ∠s.