Probability
If P(5>x) is 76%, what is the probability of a score being 5 or more?
24%
A car travels along a road at a rate of 100ms-1, it slows to stopping in a time of 25 seconds, what was its rate of deceleration?
-4ms-2
State Newtons third law.
for every action (force) in nature there is an equal and opposite reaction
Jingle Bells, jingle bells, jingle all the ____
Way
Which country was home to the mathematician who discovered that the relationship between the lengths of the sides of a right angle triangle could be expressed a a2+b2=c2?
Greece
If the probability of rain each day is 21.6%, what is the probability that it will rain three days in a row?
1.01%
I drop a ball from a height of 50m, how long will it take to hit the floor (ignore air resistance)
3.19 seconds
Student A is pushing a box on a smooth plane with a force of 20N to the right, student B is pushing the same box with a force of 40N to the left. What direction will the box move and what will its rate of acceleration be if it has a mass of m?
Santa's sleigh is being pulled with 1.2 x 10^8 Newtons of force and is experiencing 1000000 N of drag, it weighs 500kg, draw a diagram to represent his sleigh and find the acceleration of his sleigh.
What is 238000 (2.38x10^5)ms-2
What is the first square number that is divisible by 18?
36
A bag has an even number of red balls and blue balls. If the balls are replaced after being selected, what is the probability of selecting a red ball only on the second attempt of three?
12.5%
A particle is shot at an angle of 45 degrees from horizontal on a smooth plane at a velocity of 45ms-1, how far does it travel before it hits the ground?
206.42 metres
Forces that cause a change in motion are called ____ forces
Resultant
Santa has made a big mistake: He hasn't yet bought presents for the children of the world (as of the 19th of December). He wants to find out how much he should spend per child for a present.
a) Why can't he do a census?
b) What should he do to find this data? (more than one correct answer)
a) A census takes time and if he took a census now he wouldn't have this data until after Christmas
b) He needs to find a sample that is representative of the population, Quota or oppurtunity sampling (with an example) or simple random (no bias), systematic (quick), stratified (probably also a good idea)
Which number is the third decimal place of Pi?
1
A particular antihistamine has 64% of stopping hay fever symptoms, If ten people take one each, what is the probability that four people are cured?
25.05%
A car is modelled as constantly accelerating for London to Exeter. It travels 200 miles in 3 hours, what was its rate of acceleration if it started at rest?
5.49x10^-3ms-2
Two particles, P and Q of masses 20kg and mkg respectively, are connected by a light inextensible rod. They lie on a smooth horizontal plane. A horizontal force of 60N is applied to Q in the direction towards P, causing the particles to accelerate with a velocity of 2ms-2.
A) Find the mass, m, of Q
B) Find the thrust in the rod
b) 40N
Santa, a box P of mass 2.5kg rests on a rough horizontal table and is attached to one end of a light inextensible string. The string passes over a small smooth pulley fixed at the edge of the table. The other end of the string is attached to a sphere Q of mass 1.5kg which hangs freely below the pulley. The magnitude of the frictional force between P and the table is kN. The system is released from rest with the string taut. After release , Q descends a distance of 0.8 m in 0.75 seconds.
i) Draw a diagram to represent this
ii)Find the tension in the string
ii) 10.4N
Which number can be expressed as CDXXV in Roman numeral form?
425
A die has 4 red sides and 3 blue sides. What is the probability of rolling no more than 2 reds?
12.66%
Two trains are 1500m apart on a straight track and are travelling directly towards eachother, one train starts at rest and accelerates at a constant rate of 1.2ms-2, the other train is travelling at a constant 50ms-1. After how long do they meet?
23.4187 seconds roughly
Santa throws his trademark aerodynamic presents into chimneys from his sleigh at a height of 700m from the ground and his sleigh is travelling at 500 metres per second while he's delivering the presents. Assuming g = 9.8m/s^2 find the horizontal distance he has to be from the chimney in order to hit the chimney if the average chimney is 8m tall.
5941.9 Metres
Which of these key figures in the history of Mathematics was the most recent?
Pythagoras, Fibonacci or Pascal
Pythagoras (570 BC)
Fibonacci (1170 AD)
Pascal (1623 AD)