Previous Year Advance Maths Questions for IB (ACIO) - 2017

Dear students, you know how important Advance Math is a for IB and SSC related exams. Learn every theorem of geometry, different trigonometric ratios and formulas of different polygons & 3D mensuration before you sit for the main exam. We cant learn everything in a day, so practice different question, For that, we are providing 15 questions on advanced maths. Solve all these quizzes every day so that you can improve your accuracy and speed.

Q1. The surface of a sphere is 616 cm², what will be its volume?

(a) 2100 cm³
(b) 2500 cm³
(c) 1225 ⅗ cm³
(d) 1437 ⅓ cm³

Q2. The internal radius of a hemispherical bowl is 6 cm long. What will be its normal surface area? (Take π = 3.14)

(a) 400 cm²
(b) 226.08 cm²
(c) 289.75 cm²
(d) 225 cm²

Q3. The length of the parallel sides of a trapezium is 15 cm and 20 cm is long. If its area is 175 cm², what is its height?

(a) 15 cm
(b) 20 cm
(c) 25 cm
(d) 10 cm

Q4. The external circumference of a running track is 528 m. The track is 14 m wide uniformly. The cost of making the track at the rate of Rs. 10 per sq. meter is ?

(a) Rs 76,760
(b) Rs 66,760
(c) Rs 67,760
(d) Rs 77,660

Q8. In ∆ABC, ∠B = 60° and ∠C = 40°, AD is the bisector of ∠A and AE ⊥ BC. Then the measure of ∠EAD is?

(a) 12°
(b) 11°
(c) 9°
(d) 10°

Q9. In ∆ABC . AB = BC = K, AC √2 K, then ∆ABC is ?

(a) Isosceles triangle
(b) Right triangle
(c) Right Isosceles triangle
(d) Equilateral triangle

Q11. The distance between the centres of two circles with radius 3 cm and 8 cm is 13 cm. If the point of contacts of the common tangent be P and Q then the length of PQ is?

(a) 11.5 cm
(b) 12 cm
(c) 11.9 cm
(d) 11.58 cm

Q12. Two circles with radii 5 cm and 3 cm contact each other externally. In what ratio the common tangent will intersect the line segment joining the centres externally?

(a) 3 : 5
(b) 2.5 : 1.2
(c) 1.5 : 2.5
(d) 5 : 3