N2 - REVISION 2 MATH M020
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1 N2 - REVISION 2 MATH M020 LO2 PERCENTAGES 1) Last year I paid Dh 1200 for my electricity. This year I paid 7.5% more. What did I pay this year? A) Dh 90 B) Dh C) Dh 1290 D) Dh ) Rana bought a watch for AED 300. This was 8% of his savings. What were his savings before he bought the watch? A) Dh 24 B) Dh 308 C) Dh 324 D) Dh ) Asma is a secretary. Her annual salary of Dh is increased by 5.5%. What is her new salary? A) Dh 4224 B) Dh C) Dh D) Dh ) A car costs Dh new. Three years later it is sold for 35% less. What is the car sold for? A) Dh B) Dh C) Dh D) Dh ) The number of cars using a road decreases by 10%. After the decrease the number of cars using the road is How many cars used the road before the decrease? A) 3600 B) C) D)
2 6) A Blackberry originally costs Dh At GITEX stand A sells the Blackberry with a 15% discount. Stand B sells the same Blackberry with a discount of Dh 250. a) What is the sale price of the Blackberry at stand A? b) Which stand is cheapest? c) What is the difference in price between stand A and stand B? 7) Some students work on a laptop, some work with pen and paper: a) Complete the table. NF01 NF02 Total Laptop Pen & paper 6 9 Total b) What percentage of students in NF01 work with a laptop? Round your answer to the nearest percent. c) What percentage of students with a laptop are in NF01? Round your answer to 1 d.p. 8) 170 out of 200 students went on a trip to Masafi. a) What percentage of the students went on the trip? b) What percentage of the students did not go on the trip? 2
3 9) Aisha wants to buy a Toshiba XBM laptop. Shop A sells this laptop for Dh Shop B sells the same laptop for Dh 5600, but they will give Aisha a 15% discount. a) How much is the discounted price of the laptop in shop B? b) Which shop should Aisha buy her laptop from to get the cheaper price? 10) The distribution of workers in a town is: Private Sector Government Sector Male 9 11 Female 6 17 Total a) What is the total number of workers? b) What is the total number of female workers? c) What percentage of female workers work in the government sector? (Round your answer to 1 d.p.) d) What is the ratio of total males to total females? 3
4 11) Complete the empty cells: B A R N + or % % %
5 LO 3.1 CHARTS 1. The profit on sales over a five day period is shown in the pie chart: Profit in 5 Days Wednesday 3% Saturday 22% Tuesday.% Sunday 8% Monday 14% A What percentage of the profit in the five day period was made on Tuesday? B With a total profit of Dh over the five day period, what was the profit on Sunday? C With a profit of Dh 6240 on Monday, what was the total profit to the nearest ten Dirhams over the five day period? 5
6 Number of Items in Thousands 2. Number of Items Sold Saturday 1 Sunday Monday Tuesday Wednesday Thursday Friday Saturday 2 Days of the week (10 marks) A B C D E What is the y-axis interval? On which days were less than 6000 items sold? What was the change in number of items sold from Monday to Tuesday? What was the greatest number of items sold on any given day? Which day shows the smallest number of items sold? F What was the percentage increase between Friday and Saturday 2? G H How many items were sold in the first four days? What was the mean number of items sold on the first four days? 6
7 $, degrees Centigrade 3. This line graph shows the daily revenue of an ice-cream seller and daily temperatures: (10 marks) Revenue and Temperature Revenue Temperature Days A B C Between which days was the greatest decrease in revenue? Between which days was the smallest increase in temperature? What was the smallest revenue? D When was the highest temperature? E What was the change in temperature between day 8 and 9? F What was the percentage decrease in revenue between days 3 and 4? G What can you say about revenue when the temperature is high? 7
8 4) Stamina left (min) What does this chart show? Circle two correct answers. A B C D If you do a lot of exercise, you have lots of stamina left. If you do little exercise, you have lots of stamina left. If you do little exercise, you have little stamina left. If you do a lot of exercise, you have little stamina left. 8
9 LO 1 VENN DIAGRAMS U A B 1) This Venn diagram contains 100 elements a. How many elements are in A B? b. How many elements are in A? c. How many elements are in U - A B? 2) Write down the elements of the following sets: a. L Z b. L Z O c. U - L O d. O Z - L 9
10 LO 1 TRUTH TABLES 1) Peter loves the color green. Keith likes to walk. State if the following are true or false: a. Peter loves the color green and Keith does not like to walk. b. Peter does not love the color green or Keith likes to walk. c. Peter does not love the color green and Keith does not love to walk. d. Peter loves the color green or Keith does not like to walk. 2) Complete the truth table. a b a b a b (a b) (a b) b ) Complete the truth table. a b a b a b a b a b T F T T F T F F 10
11 ANSWERS LO 2 PERCENTAGES (pages 1 4) 1c 2d 3d 4b 5d 6a) Dh b) Stand A 6c) Dh 50 7b) 71% 7c) 57.7% 7a) ) a) 85% b) 15% 9) a) Dh 4760 b) Shop A is cheaper 10) a) 43 b) 23 c) 17/23 = 73.9% d) 20 : 23 11) B A R N + or % % % % % % 48 + LO 3.1 CHARTS (pages 5 8) 1 a 53 % b Dh c Dh a 1000 b Saturday1, Sunday & Tuesday c 5000 d e Tuesday f 50 % g h a 3 & 4 b 8 & 9 c $ 12 d Day 3 e 1 o C up f % g revenue is also high 4 b & d 11
12 LO 1 VENN DIAGRAMS (page 9) 1) 2) a. How many elements are in A B? 5 b. How many elements are in A? 46 c. How many elements are in U - A B? 14 Write down the elements of the following sets: a. wyabc b. abc c. mpqegin d. df LO1 TRUTH TABLES (page 10) 1) a. Peter loves the color green and Keith does not like to walk. F b. Peter does not love the color green or Keith likes to walk. T c. Peter does not love the color green and Keith does not love to walk. F d. Peter loves the color green or Keith does not like to walk. T 12
13 2) Complete the truth table. a b a b a b (a b) (a b) b ) Complete the truth table. a b a b a b a b a b T F F T F T T T T T T F F F F T F T T F T F F F F T T T 13
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