Maths

Question: A sports shop sells tennis rackets for $60 each and badminton rackets for $30 each. If a customer buys 2 tennis rackets and 4 badminton rackets, what is the total cost?A) $240B) $260C) $280D) $300 Solution: Cost for 2 tennis rackets:2×60=120Cost for 4 badminton rackets:4×30=120Total cost:120+120=240 ​ ​ Our Social Media Presence –https://youtube.com/@rankmadeeasyhttps://www.facebook.com/groups/rankmadeeasyhttps://www.facebook.com/RankMadeEasyhttps://www.instagram.com/rankmadeeasy1https://twitter.com/rankmadeeasy

Question: A recipe uses 250 grams of sugar to make 20 cookies. How much sugar is needed to make 50 cookies?a) 500 gramsb) 625 gramsc) 750 gramsd) 1000 grams Solution: Sugar needed for 1 cookie = 250 grams / 20 cookies = 12.5 grams/cookieSugar needed for 50 cookies = 50 cookies × 12.5 grams/cookie =

Question: If 18 kg of berries cost $90, how much will 12 kg cost?A) $45B) $50C) $55D) $60 Solution: Step 1: Find the cost per kg of berries.Cost per kg=90dollars/18kg =5dollars/kgStep 2: Use the unitary method to find the cost of 12 kg.Cost of 12 kg=12kg×5dollars/kg=60dollars​ ​ Our Social Media Presence –https://youtube.com/@rankmadeeasyhttps://www.facebook.com/groups/rankmadeeasyhttps://www.facebook.com/RankMadeEasyhttps://www.instagram.com/rankmadeeasy1https://twitter.com/rankmadeeasy

Question: A machine produces 1,200 parts per hour. How many parts does it produce in 5 hours?(A) 5,800(B) 5,900(C) 6,000(D) 6,100 Solution: To find the total number of parts produced in 5 hours, multiply the hourly production by the number of hours.1,200×5=6,000Therefore, the correct answer is (C). ​ Our Social Media Presence –https://youtube.com/@rankmadeeasyhttps://www.facebook.com/groups/rankmadeeasyhttps://www.facebook.com/RankMadeEasyhttps://www.instagram.com/rankmadeeasy1https://twitter.com/rankmadeeasy

Question: A recipe requires 135.00 liters of syrup for every 95.6 liters of juice. How many liters of syrup are needed if 1,920.0 liters of juice are used?(A) 2,615.00 liters(B) 2,615.20 liters(C) 2,615.50 liters(D) 2,616.00 liters Solution: Use a proportion to determine the amount of syrup needed:135.00/95.6 = x/1,920.0Solve for x:x = 135.00×1,920.0/95.6 =2,615.20So, 2,615.20

Question: If 5 kg of grapes cost $25, how much will 15 kg cost?(A) $60(B) $65(C) $70(D) $75 Solution: Step 1: Find the cost per kg of grapes.Cost per kg= 25dollars⁄5kg = 5dollars/kgStep 2: Use the unitary method to find the cost of 15 kg.Cost of 15 kg=15kg×5dollars/kg=75dollars . ​ Our Social Media Presence –https://youtube.com/@rankmadeeasyhttps://www.facebook.com/groups/rankmadeeasyhttps://www.facebook.com/RankMadeEasyhttps://www.instagram.com/rankmadeeasy1https://twitter.com/rankmadeeasy

Question: If 8 men can complete a project in 24 days, how many men are required to complete the project in 16 days?(A) 10 men(B) 11 men(C) 12 men(D) 13 men Solution: Step 1: Determine the total amount of work (man-days) required to complete the project.Total work=8men×24days=192man-daysStep 2: Use the unitary method to find how many

Question: A pattern consists of 12 overlapping dodecagons arranged symmetrically. How many lines of symmetry does this pattern have?(A) 12(B) 24(C) 36(D) 48 Solution: The pattern with 12 overlapping dodecagons has 12 lines of symmetry, each passing through the central point and dividing the pattern symmetrically.Therefore, the correct answer is (A) 12. ​ Our Social

Question: In a survey, 10 students scored between 70–80, 20 students scored between 80–90, and 15 students scored between 90–100. What is the cumulative frequency for scores between 80 and 100?(A) 35(B) 30(C) 25(D) 20 Solution: The cumulative frequency for scores between 80 and 100 includes the students who scored between 80–90 and 90–100.Cumulative Frequency=20+15=35Therefore, the

Question: A bottle is 9⁄10 full of syrup. If 2⁄5 of this syrup is used, what fraction of the bottle’s total capacity is used?(A) 9⁄25(B) 2⁄5(C) 12⁄25(D) 4⁄5 Solution: Find the fraction of the bottle’s total capacity used:2⁄5 × 9⁄10 = 18⁄50 = 9⁄25So, 9⁄25 of the bottle’s total capacity is used. ​ Our Social