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High School (9–10)
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31 problems
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Type:
Any
Conceptual
Numerical
1.
A ladder 10 m long reaches 8 m up a wall…
New
High School (9–10), General · Triangles
SAT
StemPy Lab
Hard
2.
A triangle has sides 20 cm, 21 cm and 29 cm…
New
High School (9–10), General · Triangles
StemPy Lab
Medium
3.
A rectangular field is 40 m long and 30 m wide…
New
High School (9–10), General · Triangles
StemPy Lab
Medium
4.
A ladder 25 m long leans against a vertical wall…
New
High School (9–10), General · Triangles
StemPy Lab
Easy
5.
In triangle ABC, the point D lies on AB and E lies on AC, with DE ∥ BC…
New
High School (9–10), General · Triangles
SAT
StemPy Lab
Hard
6.
Triangles ABC and PQR are similar. The altitudes from A and from P are 6 cm and 9 cm…
New
High School (9–10), General · Triangles
SAT
StemPy Lab
Medium
7.
Triangles ABC and PQR are similar. AB = 3 cm and the matching side PQ = 5 cm…
New
High School (9–10), General · Triangles
StemPy Lab
Easy
8.
Triangle ABC has sides 8 cm, 12 cm and 16 cm…
New
High School (9–10), General · Triangles
StemPy Lab
Medium
9.
In trapezium ABCD, AB ∥ DC, and the diagonals AC and BD meet at O…
New
High School (9–10), General · Triangles
SAT
StemPy Lab
Medium
10.
A vertical pole 6 m tall casts a shadow 4 m long on level ground…
New
High School (9–10), General · Triangles
StemPy Lab
Easy
11.
ABCD is a trapezium with AB parallel to DC…
New
High School (9–10), General · Triangles
StemPy Lab
Hard
12.
D and E are the midpoints of AB and AC in a triangle with AB = 14 cm, AC = 18 cm and BC = 16 cm…
New
High School (9–10), General · Triangles
SAT
StemPy Lab
Medium
13.
D is on AB and E is on AC. AD = 3.6 cm, DB = 2.4 cm, AE = 3 cm and EC = 2 cm. Is DE parallel to BC?
New
High School (9–10), General · Triangles
StemPy Lab
Easy
14.
In triangle ABC, DE ∥ BC, with D on AB and E on AC…
New
High School (9–10), General · Triangles
Olympiad, SAT
StemPy Lab
Hard
15.
Take B = (0, 0), C = (12, 0) and A = (3, 9)…
New
High School (9–10), General · Triangles
StemPy Lab
Medium
16.
In triangle ABC, DE is parallel to BC. AD = x cm, DB = (x - 2) cm, AE = (x + 2) cm and EC = (x - 1)…
New
High School (9–10), General · Triangles
SAT
StemPy Lab
Medium
17.
In triangle ABC, DE is parallel to BC, with D on AB and E on AC…
New
High School (9–10), General · Triangles
StemPy Lab
Easy
18.
Triangle X has sides 5 cm, 12 cm and 13 cm…
New
High School (9–10), General · Triangles
StemPy Lab
Medium
19.
Rectangle X is 4 cm by 10 cm. Rectangle Y is 6 cm by 15 cm…
New
High School (9–10), General · Triangles
SAT
StemPy Lab
Medium
20.
Triangle ABC has sides 6 cm, 8 cm and 10 cm…
New
High School (9–10), General · Triangles
StemPy Lab
Easy
21.
Two sides of a triangle are 7 cm and 12 cm long…
New
High School (9–10), General · Triangles
StemPy Lab
Medium
22.
In triangle ABC, ∠ A = 75° and ∠ B = 50°…
New
High School (9–10), General · Triangles
StemPy Lab
Easy
23.
In triangle ABC, BE is the perpendicular from B to AC, and CF is the perpendicular from C to AB…
New
High School (9–10), General · Triangles
SAT
StemPy Lab
Hard
24.
In triangle PQR, PQ = PR. The angle Q is (5x - 8)° and the angle R is (3x + 14)°…
New
High School (9–10), General · Triangles
StemPy Lab
Medium
25.
In triangle ABC, AB = AC, and AD is the perpendicular from A to BC…
New
High School (9–10), General · Triangles
SAT
StemPy Lab
Medium
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