ST EDWARD’S
OXFORD 16+
ENTRANCE
EXAMINATION 2018-
2013 QUESTIONS
REVISED AND
REVIEWED 2025-
2026 NEW
GENERATION
,You may use the following formulae:
Volume of prism = area of cross section length
Volume of sphere = 4
r 3
Surface area of sphere = 4r 2
Volume of cone = 13 r 2 h
Curved surface area of cone = rl
In any triangle ABC
C
a b c
Sine Rule = =
sin A sin B sin C b a
A B
c
Cosine Rule a 2 = b 2 + c 2 – 2bc cos A
1
Area of triangle = 2
absin C
The Quadratic Equation
2–4ac
The solutions of ax2 + bx + c = 0 where a 0, are given by x = –b±√b
2a
,1.
C
12.6 m
41°
A B
The diagram shows a right-angled triangle ABC.
AC = 12.6 m.
Angle CAB = 41°
Angle ABC = 90°
Find the length of the side AB. Give your answer correct to 3 significant figures.
… .................... m
(Total 3 marks)
, 2. A spaceship travelled for 6 × 102 hours at a speed of 8 × 104 km/h.
(a) Calculate the distance travelled by the spaceship.
Give your answer in standard form.
. .......................... km
(3)
One month an aircraft travelled 2 × 105 km.
The next month the aircraft travelled 3 × 104 km.
(b) Calculate the total distance travelled by the aircraft in the two months.
Give your answer as an ordinary number.
. .......................... km
(2)
(Total 5 marks)
OXFORD 16+
ENTRANCE
EXAMINATION 2018-
2013 QUESTIONS
REVISED AND
REVIEWED 2025-
2026 NEW
GENERATION
,You may use the following formulae:
Volume of prism = area of cross section length
Volume of sphere = 4
r 3
Surface area of sphere = 4r 2
Volume of cone = 13 r 2 h
Curved surface area of cone = rl
In any triangle ABC
C
a b c
Sine Rule = =
sin A sin B sin C b a
A B
c
Cosine Rule a 2 = b 2 + c 2 – 2bc cos A
1
Area of triangle = 2
absin C
The Quadratic Equation
2–4ac
The solutions of ax2 + bx + c = 0 where a 0, are given by x = –b±√b
2a
,1.
C
12.6 m
41°
A B
The diagram shows a right-angled triangle ABC.
AC = 12.6 m.
Angle CAB = 41°
Angle ABC = 90°
Find the length of the side AB. Give your answer correct to 3 significant figures.
… .................... m
(Total 3 marks)
, 2. A spaceship travelled for 6 × 102 hours at a speed of 8 × 104 km/h.
(a) Calculate the distance travelled by the spaceship.
Give your answer in standard form.
. .......................... km
(3)
One month an aircraft travelled 2 × 105 km.
The next month the aircraft travelled 3 × 104 km.
(b) Calculate the total distance travelled by the aircraft in the two months.
Give your answer as an ordinary number.
. .......................... km
(2)
(Total 5 marks)