Right angles, turns, and the ones that add to a straight line or a full turn.
print a sheet of all 11 → · the same sheet with answers, for a grown-up
Using the same diagram (ABEF a square, BCDE a rectangle, with A, B, C on one straight line and F, E, D on another), ∠ACF = 35° and ∠DCE = 18°. Find ∠FCE.
A B C
+--------------------+---------+
\ \35 /|
\ \ / | 18
\ X |
+------\---------------------\-+
F (to F) E D
at C the whole angle from CA down to CD is 90 degreesThe 8-point compass shows the houses of 8 children around point O: Perry north, Ziming north-east, Bill east, Hadi south-east, Ali south, Sam south-west, Dave west, Shawn north-west. Roy is at point O facing Perry’s house. How many degrees must he turn in a clockwise direction so that he can face Shawn’s house?
Perry
Shawn | Ziming
\ | /
Dave -------O------- Bill
/ | \
Sam | Hadi
AliUsing a protractor, measure ∠ABC. BA runs horizontally to the left from B; BC rises steeply up and slightly to the right.
C
/
/
/
/
A ---------------------/ B
(angle here)
measure from BA, round to BCRectangle PQRS is folded to form the figure below. ∠y is three times ∠x. Find ∠x.
P Q +-------------------------------------+ | y / : | / : x | / : | \ / : +-----------------------------\-/-----+ S R the dashed line is where the corner R USED to be; the fold crease runs from Q
A rectangular piece of paper PQRS was folded as shown below, so that the edge RQ came down onto the line RU. Find ∠TRU.
P T Q +---+---------------------------------+ | \ \ | \ \ U + \ \ | \ \ | \ \ 52 deg + - - - - - \- - - - - - + S R the dashed line S—R is where the bottom edge still is; TR is the crease
Ben was standing at Point X. He turned 225° anti-clockwise and then made another 1/4-turn in the clockwise direction. He ended up facing the Bus Bay. Which location was Ben facing at first?
Library N
| ^
General Office | Bus Bay |
\ | /
Computer Lab ------- X ------- Field
/ | \
Dental Clinic | Basketball Court
|
HallA protractor is placed with its centre at Y and its baseline along the bottom. Two lines are drawn from Y: one up to the left towards X, reading 18° above the baseline, and one up to the right towards Z, reading 38° above the baseline. Find the value of ∠XYZ.
Z
X /
\ /
\ /
-----\--/--------- (the protractor baseline)
\/
Y
X is 18 deg above the baseline on the LEFT
Z is 38 deg above the baseline on the RIGHTKayden is standing at point K facing the park. He makes a 135° clockwise turn followed by a 315° anticlockwise turn. Where will he be facing now?
Shopping Centre North
| ^
Library | Park |
\ | /
Cinema ---------K--------- Market
/ | \
Food Centre | Playground
|
SchoolIn the figure, ABCD is a rectangle and DEFG is a square, overlapping at D. ∠CDG = 64° and ∠EDH = 33°, where DH is a straight line from D. Find ∠ADH.
C D E
\ 64 / \ 33 /
\ / \ /
\ / G \ / H
\ / \
A
at D, the rays run in the order C, G, A, H, E
rectangle corner ADC = 90 deg · square corner GDE = 90 degThe clock shown below was 45 minutes behind the actual time. To set the clock to the correct time, how many 1/4-turn(s) must the minute hand be moved clockwise?
12
11 1
10 2
|
9 +----> 3 minute hand on 12
hour hand on 3
8 4
7 5
6Helen was at a restaurant in a zoo. At the restaurant, Helen was facing south-west at first. She then made a 3/4-turn clockwise. Which animal would she be facing then?
Lion N
| ^
Elephant | Tiger |
\ | /
\ | /
Zebra ---- RESTAURANT ---- Leopard
/ | \
/ | \
Giraffe | Monkey
|
PenguinNothing matches that. Clear a filter.