1) PQR and PTS are straight lines. Angle PTQ = angle PSR =90°. QT=4cm, RS =12cm, TS = 10cm. Work out the length of PT
2) The graph shows some information about the weights of a sample of apples. Work out th proportion of apples in the sample with a weight between 140 grams and 200 grams.
3) A frustrum is made by removing a small cone from a similar large cone. The height of the small cone is 20cm. The height of the large cone is 40cm. The diameter of the bas of the large cone is 30cm. Work out the volume of the frustrum.
4) The table show information about the ages, in years, of 300 students. Ian takes. sample of 50 of these students, stratified by age. Calculate the number of 16 year old students he should have in his sample. (There are 68 students aged 16 years old)
5) m = (square root) s/t. s= 3.47 (2dp). t= 8.132 (3dp.) By considering the bounds, work out the value of m to suitable degree of accuracy.
6) Here are two triangles T1 and T2. The lengths of the line are in centimeters. The area of triangle T1 is equal to the area of triangle T2. Work out the value of x, giving your answer in the form a+ (square root) b where a and b are integers.
7) One of the office workers is chosen at random. Work out the probability that this office worker took more than 40 minutes to get to the office.
8) t is a positive whole number. The expression 2t(squared) +5t +2 can neve have a value that is a prime number. Explain why.
9) Solve 2/2y(squared) + 9/y -7=0
10) The diagram show the triangle PQR. PQ= x cm, PR= 2x cm, angle QPR=30°. The area of the triangle PQR=A cm(squared.) Show that x=(square root)2a
How do I answer any of these questions? Please help x