PQR is an equilateral triangle. PR and PQ are divided into 8 equal segments and corresponding points on those sides are joined to create 8 strips as shown. The line 24 is the bisector of angle PQR. QA cuts the shaded strip into 2 pieces. What is the ratio of the areas of those 2 pieces?

At a sale this week, a desk is being sold for $213. this is a 29% discount from the original price. what is the original price?

Arestaurant chef made 1 1/2 jars of pasta sauce. each serving of pasta requires 1/2 of a jar of sauce. how many servings of pasta will the chef be able to prepare using the sauce?

(c) the diagram shows the first three shapes of a matchsticks arrangement.first shape = 3second shape = 5third shape = 7given m represents the number of matchstick used to arrange the n'th shape.(i) write a formula to represent the relation between m and n. express m as the subjectof the formula.(ii) 19 matchsticks are used to make the p'th shape. find the value of p.