# Questions

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Algebra

Matrices & DeterminantsUse Simpson s Rule with n 10 to approximate the area of the surface obtained by rotating the curve about the x a Round your answers to six decimal places y 2xe 0 xsl Simpson s Rule calculator approximation

Calculus

Application of derivativesGiven the region bounded by y 2x 3 1 y 8x 1 and x 0 Sketch this region using the window size of 0 3 2 17

Math - Others

Basic Mathn ABC N is the incenter NE 8x 9 and ND 3x 6 Which of the measures are possible lengths of NG

Geometry

2D GeometryWrite down a formula for the perimeter of this regular shape Find p when s is 2 cm p

Statistics

StatisticsThe times it took to complete a frame of snooker were recorded at a tournament Here are the results times t mins freq f 0 t 10 11 10 t 20 30 20 t 30 45 30 t 60 14 O mid points m 0000 the mean time fm 6 mins

Statistics

StatisticsTwo months after the first flowers appear on a runner bean plant the lengths of the beans are all measured length 1 cm freq f 0 5 6 5 10 14 10 15 22 15 25 8 mid points m 6 fm

Math - Others

Basic MathMiss Joplin is planning the resources for a maths lesson She needs 1 ruler per pupil plus 4 spare 2 pieces of dotty paper per pupil 5 pieces of card per pupil plus 6 spare Write down formulae for the number of rulers r and the amount of dotty paper d and card c Use p for the number of pupils d r C There are 19 pupils in the class How many of each item does Miss Joplin need r d C 6 3

Algebra

Quadratic equations2 Jasmine is selling fruit for her youth group f oranges and large boxes of oranges During th large boxes of oranges for a total of 306 Duri and 2 large boxes of oranges for a total of 156 cost of a large box of oranges Let x Let y Equation 1

Geometry

2D GeometryS The perimeter of a regular pentagon is p and the length of a side is s The formula fors is s p 5 Find the length of a side when the perimeter is 35 cm Write down a formula for p in terms of s P

Statistics

StatisticsA group of people answer the question How many times did you shop at Ascobury s last week Here are the results visits v frequency f 0 1 2 3 4 Find the m 22 4 13 18 8 7 number of visits fv 5

Statistics

StatisticsA cashier answers the question How many of each of these notes do you have in the till Here are the results note value v 5 10 20 50 frequency fv f 27 25 36 12 Find the mean note value 0000 5

Statistics

ProbabilityThe manager of a computer retails store is concerned that his suppliers have been giving him laptop computers with lower than average quality His research shows that replacement times for the model laptop of concern are normally distributed with a mean of 4 1 years and a standard deviation of 0 6 years He then randomly selects records on 54 laptops sold in the past and finds that the mean replacement time is 3 8 years Assuming that the laptop replacement times have a mean of 4 1 years and a standard deviation of 0 6 years find the probability that 54 randomly selected laptops will have a mean replacement time of 3 8 years or less P M 3 8 years Enter your answer as a number accurate to 4 decimal places Based on the result above does it appear that the computer store has been given laptops of lower than average quality Yes The probability of this data is unlikely to have occurred by chance alone O No The probability of obtaining this data is high enough to have been a chance occurrence

Algebra

Quadratic equationsAdd or subtract the radical expression if possible Do not use rational exponents in your answer 7 4 ab 180a 125a5b2a b 45a 5 6

Algebra

Quadratic equationsAdd or subtract the radical expression if possible Do not use rational exponents in your answer 3 x 4 y 4 x

Algebra

Quadratic equationsMultiply the radical expression and reduce your answer Do not use rational exponents Use sqrt instead 3 2 5 102 2x7y 10x7y

Algebra

Quadratic equationsMultiply the radical expression and reduce your answer Do not use rational exponents Use sqrt instead 45 27