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Quizzes

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Exam:
121 quizzes
The tangents at the two ends A and B of a diameter of a circle with centre O are parallel. A third tangent touches the circle at C and cuts them at D and E. What is the angle ∠ DOE? New
High School (9–10), General · Circles
SAT
StemPy LabStemPy Lab
Hard
A coaching centre has a morning batch of 20 learners, whose mean mark is 60, and an evening batch of 30, whose mean mark is 70. What is the mean mark of all 50 learners?
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Averages: Mean, Median and Mode
SAT
StemPy LabStemPy Lab
Hard
Two circles have radii 10 cm and 4 cm, and their centres are 10 cm apart. A straight line touches both circles and does not cross the line joining the centres. How long is the segment of this line between the two points of contact? New
High School (9–10), General · Circles
SAT
StemPy LabStemPy Lab
Hard
Five numbers have a mean of 13. Four of them are 10, 14, 9 and 15. What is the fifth number?
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Averages: Mean, Median and Mode
SAT
StemPy LabStemPy Lab
Medium
A parallelogram has all four of its sides touching one circle. What kind of parallelogram must it be? New
High School (9–10), General · Circles
SAT
StemPy LabStemPy Lab
Medium
The bar chart shows how many brothers and sisters each of 25 students has. What is the median number?
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Averages: Mean, Median and Mode
SAT
StemPy LabStemPy Lab
Hard
A round wire ring fits snugly inside a triangular frame with a right angle, touching all three bars. The two short bars are 12 cm and 35 cm and the long bar is 37 cm. What is the radius of the ring? New
High School (9–10), General · Circles
SAT
StemPy LabStemPy Lab
Medium
In a month, the 4 windy days had a mean highest temperature of 18 °C and the 16 calm days 22 °C. What is the mean of all 20 days?
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Averages: Mean, Median and Mode
SAT
StemPy LabStemPy Lab
Hard
A coin of radius 6 cm lies exactly in the middle of a plate of radius 10 cm. A straight cut across the plate just touches the coin. How long is the cut? New
High School (9–10), General · Circles
SAT
StemPy LabStemPy Lab
Medium
In a club, 15 boys have a mean mass of 40 kg and 10 girls have a mean mass of 35 kg. What is the mean mass of all 25 members?
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Averages: Mean, Median and Mode
SAT
StemPy LabStemPy Lab
Hard
Two straight fences just touch a round pond and meet at a corner K, making an angle of 58° with each other. The two lines from the middle of the pond to the touching spots form what angle? New
High School (9–10), General · Circles
SAT
StemPy LabStemPy Lab
Medium
Nine values have a mean of 20. A tenth value, 30, is added. What is the new mean?
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Averages: Mean, Median and Mode
SAT
StemPy LabStemPy Lab
Hard
A string is pulled tight from a peg K to touch a round tin at one point. The string between the peg and the tin is 12 cm long, and the peg is 15 cm from the middle of the tin's top. What is the radius of the tin? New
High School (9–10), General · Circles
SAT
StemPy LabStemPy Lab
Medium
A trapezium has equal legs and all four corners on a circle. Each angle at the ends of its longer parallel side is 53°. How big is each angle at the ends of the shorter parallel side? New
High School (9–10), General · Circles
SAT
StemPy LabStemPy Lab
Medium
Rohan extends the side BC of a cyclic quadrilateral ABCD to a point X. The new angle ∠ DCX is 58° smaller than ∠ BCD. How big is ∠ BAD? New
High School (9–10), General · Circles
SAT
StemPy LabStemPy Lab
Medium
Which set of angles, in order round the figure, cannot belong to a cyclic quadrilateral? New
High School (9–10), General · Circles
SAT
StemPy LabStemPy Lab
Medium
A quadrilateral has angles 87°, 121°, 93° and 59°, in that order round the figure. Is it cyclic? New
High School (9–10), General · Circles
SAT
StemPy LabStemPy Lab
Medium
In a cyclic quadrilateral ABCD, ∠ B is three times ∠ D. How big is ∠ D? New
High School (9–10), General · Circles
SAT
StemPy LabStemPy Lab
Medium
Of two opposite angles of a cyclic quadrilateral, the larger is 66° more than the smaller. How big is the larger one? New
High School (9–10), General · Circles
SAT
StemPy LabStemPy Lab
Medium
Two buoys A and B float on the edge of a circular pond with centre O. Two friends stand at C and D on the longer part of the edge. The first sees the buoys at an angle of (3y - 4)° and the second at (2y + 11)°. What is ∠ AOB? New
High School (9–10), General · Circles
SAT
StemPy LabStemPy Lab
Hard
A rod AB lies across the widest part of a round table, through the middle. Strings join a pin P on the rim to both ends of the rod. The string PA makes an angle of 24° with the rod. What angle does the string PB make with the rod? New
High School (9–10), General · Circles
SAT
StemPy LabStemPy Lab
Medium
The two ends of a wire arc AB on a circular ring are seen from the centre of the ring at an angle of 96°. A bead P sits on the other, longer part of the ring. What is ∠ APB? New
High School (9–10), General · Circles
SAT
StemPy LabStemPy Lab
Medium
Two straight cuts are made across a round pizza. One cut is 6 cm from the middle and the other is 4 cm from the middle. Which statement is true? New
High School (9–10), General · Circles
SAT
StemPy LabStemPy Lab
Medium
A round tabletop has radius 29 cm. A straight crack 40 cm long runs across it, but not through the middle. How far is the crack from the middle of the table? New
High School (9–10), General · Circles
SAT
StemPy LabStemPy Lab
Medium
A circular dish has radius 37 cm. A straight cut across it lies 12 cm from the centre. How long is the cut? New
High School (9–10), General · Circles
SAT
StemPy LabStemPy Lab
Medium
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