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Pick what you want, print the page. The answer key comes with it, on its own sheet, and it tells you the mistake behind every wrong choice — not just which letter is right.
10 on the sheet, 16 match these filtersReshuffleStart overseed 10
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Name: ______________________Date: ____________10 questions · 36 points
1.In a triangle, one angle is 90 degrees and another is 35 degrees. What is the third angle?[3]
2.What is the angle between the hands of a clock at exactly 3 o'clock?[3]
A clock face with the hour hand pointing at 3 and the minute hand pointing at 12, with the angle between them marked.
3.A solid block is built from unit cubes and measures 4 by 3 by 2. How many unit cubes does it contain?[3]
A rectangular block built from unit cubes, 4 cubes long, 3 cubes deep and 2 cubes tall, drawn so that both layers are visible.
4.Three angles of a quadrilateral are 80, 95 and 110 degrees. What is the fourth angle?[3]
5.Which capital letter, printed plainly, has both a horizontal and a vertical line of symmetry?[3]
6.A square of side 10 has a smaller square of side 4 cut out of one corner. What is the area of the shape that remains?[4]
A large square of side 10 with a smaller square of side 4 removed from its top-right corner, leaving an L-shaped region shaded.
7.An isosceles triangle has an angle of 100 degrees. How big is each of the other two angles?[4]
8.Two circles touch on the outside. One has a radius of 3 cm and the other a radius of 5 cm. How many centimetres apart are their centres?[4]
9.What is the smaller angle between the hands of a clock at exactly 4 o'clock?[4]
10.A circle of radius 5 is drawn inside a square of side 10, touching all four sides. What fraction of the square is outside the circle, to the nearest tenth?[5]
A square with a circle drawn inside it, the circle touching the midpoint of each of the four sides. The region inside the square but outside the circle is shaded.
Math Kangaroo Star · https://kangaroo-atlas.vercel.app · seed 10 · CC BY-NC-SA 4.0 · Independent project, not affiliated with Math Kangaroo in USA, NFP.
Each wrong choice carries the thinking that produces it. When a student picks C, this is what they were doing.
1.C — 55 degreesKA-0022Angles on lines, in triangles, in polygons
2.C — 90 degreesKA-0032Clock geometry: hands, angles, times
3.E — 24KA-0038Building and counting with unit cubes
4.B — 75KA-0088Angles on lines, in triangles, in polygons
5.C — HKA-0142Line and rotational symmetry
6.C — 84KA-0027Area by subtraction (shaded regions)
7.B — 40KA-0080Properties of triangles and quadrilaterals
8.C — 8KA-0147Circles: radius, diameter, and touching circles
9.D — 120KA-0148Clock geometry: hands, angles, times
10.B — 0.2KA-0052Area by subtraction (shaded regions)