Enjoy - Extra GCSE Exam Practice, Exams of Mathematics

Enjoy - Extra GCSE Exam Practice

Typology: Exams

2025/2026

Uploaded on 04/11/2026

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GCSE TRIGONOMETRY – 50 SHORT QUESTIONS WITH SOLUTIONS (SET 2)
1
sin θ = 0.4, find θ.
Solution: 23.58°
2
cos θ = 0.9, find θ.
Solution: 25.84°
3
tan θ = 0.3, find θ.
Solution: 16.70°
4
Opp = 7, Hyp = 25, find θ.
Solution: 16.26°
5
Adj = 12, Hyp = 13, find θ.
Solution: 22.62°
6
Opp = 5, Adj = 11, find θ.
Solution: 24.62°
7
sin θ = 0.95, find θ.
Solution: 71.81°
8
cos θ = 0.25, find θ.
Solution: 75.52°
9
tan θ = 4, find θ.
Solution: 75.96°
10
Opp = 3, Hyp = 10, find θ.
Solution: 17.46°
11
Adj = 8, Hyp = 17, find θ.
Solution: 61.93°
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GCSE TRIGONOMETRY – 50 SHORT QUESTIONS WITH SOLUTIONS (SET 2)

sin θ = 0.4, find θ. Solution: 23.58° 2 cos θ = 0.9, find θ. Solution: 25.84° 3 tan θ = 0.3, find θ. Solution: 16.70° 4 Opp = 7, Hyp = 25, find θ. Solution: 16.26° 5 Adj = 12, Hyp = 13, find θ. Solution: 22.62° 6 Opp = 5, Adj = 11, find θ. Solution: 24.62° 7 sin θ = 0.95, find θ. Solution: 71.81° 8 cos θ = 0.25, find θ. Solution: 75.52° 9 tan θ = 4, find θ. Solution: 75.96° 10 Opp = 3, Hyp = 10, find θ. Solution: 17.46° 11 Adj = 8, Hyp = 17, find θ. Solution: 61.93°

Opp = 9, Adj = 40, find θ. Solution: 12.68° 13 sin θ = 0.1, find θ. Solution: 5.74° 14 cos θ = 0.45, find θ. Solution: 63.26° 15 tan θ = 0.8, find θ. Solution: 38.66° 16 Opp = 4, Hyp = 9, find θ. Solution: 26.38° 17 Adj = 6, Hyp = 10, find θ. Solution: 53.13° 18 Opp = 15, Adj = 20, find θ. Solution: 36.87° 19 sin θ = 0.55, find θ. Solution: 33.37° 20 cos θ = 0.15, find θ. Solution: 81.37° 21 tan θ = 1.2, find θ. Solution: 50.19° 22 Opp = 2, Hyp = 5, find θ. Solution: 23.58° 23 Adj = 9, Hyp = 10, find θ. Solution: 25.84°

Opp = 14, Adj = 50, find θ. Solution: 15.64° 37 sin θ = 0.28, find θ. Solution: 16.26° 38 cos θ = 0.62, find θ. Solution: 51.53° 39 tan θ = 1.8, find θ. Solution: 60.95° 40 Opp = 11, Hyp = 20, find θ. Solution: 33.37° 41 Adj = 7, Hyp = 9, find θ. Solution: 39.05° 42 Opp = 13, Adj = 45, find θ. Solution: 15.99° 43 sin θ = 0.48, find θ. Solution: 28.68° 44 cos θ = 0.33, find θ. Solution: 70.69° 45 tan θ = 0.25, find θ. Solution: 14.04° 46 Opp = 5, Hyp = 12, find θ. Solution: 24.62° 47 Adj = 2, Hyp = 5, find θ. Solution: 66.42°

Opp = 9, Adj = 14, find θ. Solution: 32.74° 49 sin θ = 0.68, find θ. Solution: 42.79° 50 cos θ = 0.58, find θ. Solution: 54.65°

Opp = 7, Adj = 30, find θ. Solution: 13.13° 13 sin θ = 0.22, find θ. Solution: 12.70° 14 cos θ = 0.38, find θ. Solution: 67.67° 15 tan θ = 0.65, find θ. Solution: 33.02° 16 Opp = 9, Hyp = 20, find θ. Solution: 26.74° 17 Adj = 5, Hyp = 6, find θ. Solution: 33.56° 18 Opp = 11, Adj = 19, find θ. Solution: 30.07° 19 sin θ = 0.48, find θ. Solution: 28.68° 20 cos θ = 0.29, find θ. Solution: 73.15° 21 tan θ = 1.1, find θ. Solution: 47.73° 22 Opp = 6, Hyp = 17, find θ. Solution: 20.74° 23 Adj = 7, Hyp = 8, find θ. Solution: 28.96°

Opp = 13, Adj = 15, find θ. Solution: 40.60° 25 sin θ = 0.66, find θ. Solution: 41.34° 26 cos θ = 0.57, find θ. Solution: 55.20° 27 tan θ = 0.33, find θ. Solution: 18.26° 28 Opp = 8, Hyp = 18, find θ. Solution: 26.38° 29 Adj = 3, Hyp = 5, find θ. Solution: 53.13° 30 Opp = 12, Adj = 35, find θ. Solution: 18.92° 31 sin θ = 0.73, find θ. Solution: 47.02° 32 cos θ = 0.66, find θ. Solution: 48.19° 33 tan θ = 1.7, find θ. Solution: 59.74° 34 Opp = 10, Hyp = 29, find θ. Solution: 20.19° 35 Adj = 4, Hyp = 9, find θ. Solution: 63.43°

Opp = 11, Adj = 32, find θ. Solution: 18.97° 49 sin θ = 0.62, find θ. Solution: 38.34° 50 cos θ = 0.53, find θ. Solution: 57.97°