Maths

Question: In a triangle, one angle measures 50° and another measures 60°.What is the measure of the third angle?A. 60°B. 70°C. 80°D. 90° Solution: The sum of the angles in a triangle is always 180°:Third Angle=180°−50°−60°=70° 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: The ratio of the number of buses to trucks in a transport depot is 7:5. If there are 175 buses, how many trucks are there?(A) 110(B) 120(C) 125(D) 135 Solution: Let the number of buses and trucks be 7x and 5x, respectively. Given that there are 175 buses:7x=175x= 175⁄7 =25The number of trucks:5x=5×25=125 Our

Question: A school has 1,800 students. If 25% of these students are in the art program and 60% of the art program students are working on a special project, how many students are working on the special project?(A) 270(B) 300(C) 320(D) 340 Solution: Calculate the number of students in the art program:25%×1,800=0.25×1,800=450 studentsCalculate the number of

Question: A right triangle has legs of 6 cm and 8 cm. Find the length of the hypotenuse. What is the length of the hypotenuse?(A) 8 cm(B) 10 cm(C) 12 cm(D) 14 cm Solution: The Pythagorean theorem states:c²=a²+b²where c is the hypotenuse. Substitute the values:c²=6²+8²=36+64=100Taking the square root:c=√100=10 cm 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 48 kg of bananas cost $120, how much will 20 kg cost?(A) $45(B) $50(C) $55(D) $60 Solution: Step 1: Find the cost per kg of bananas.Cost per kg=120dollars/48kg=2.5dollars/kgStep 2: Use the unitary method to find the cost of 20 kg.Cost of 20 kg=20kg×2.5dollars/kg=50dollars 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 store sells a jacket for $90 after applying a 10% discount. What was the original price?(a) $95(b) $100(c) $105(d) $110 Solution: Let the original price be 𝑥.Discount = 10% of 𝑥, and the selling price = $90.Selling price = x− 10⁄100× x=90.0.90x=90.x=90/0.90=100. 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: The price of a smartphone increases by 15% from $500. What is the new price?(a) $550(b) $575(c) $580(d) $585 Solution: Increase = 15% of $500 = 15⁄100×500=75.New price = $500 + $75 = $575. 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 house is priced at $350,000 and is on sale for a 10% discount. What is the sale price?(a) $315,000(b) $320,000(c) $325,000(d) $330,000 Solution: Discount = 10% of $350,000 = 10⁄100×350,000=35,000.Sale price = $350,000 – 35,000 = $315,000. 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 pair of shoes is priced at $120. After a 20% discount, what is the price of the shoes?(a) $90(b) $92(c) $95(d) $96 Solution: Discount = 20% of $120 =20⁄100×120=24.Price after discount = $120 – 24 = $96. 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 house is priced at $350,000 and is on sale for a 10% discount. What is the sale price?(a) $315,000(b) $320,000(c) $325,000(d) $330,000 Solution: Discount = 10% of $350,000 = 10⁄100×350,000=35,000.Sale price = $350,000 – 35,000 = $315,000. Our Social Media Presence –https://youtube.com/@rankmadeeasyhttps://www.facebook.com/groups/rankmadeeasyhttps://www.facebook.com/RankMadeEasyhttps://www.instagram.com/rankmadeeasy1https://twitter.com/rankmadeeasy