Maths

Question: A school’s annual budget is $1,500,000. If 14% of this budget is allocated to extracurricular activities and 35% of the extracurricular activities budget is spent on sports, how much is spent on sports?A) $70,000B) $73,500C) $80,000D) $85,000 Solution: Calculate the budget for extracurricular activities:14%×1,500,000 = 0.14×1,500,000 = 210,000 dollarsCalculate the amount spent on sports:35%×210,000 = […]

Question: A city has 2,400 residents. If 15% of these residents are involved in community service and 60% of these are volunteers at the local food bank, how many residents volunteer at the food bank?A) 144B) 180C) 216D) 240 Solution: ​ Calculate the number of residents involved in community service:15%×2,400 = 0.15×2,400 = 360 residentsCalculate the

Question: The scores on a test are 78, 82, 85, 90, and 95. What is the mean (average) score?A. 82B. 86C. 86.5D. 88 Solution: The mean is calculated by summing all the values and dividing by the number of values : Mean= 78+82+85+90+95 / 5 = 430⁄5 = 86​ 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 bag contains 5 red, 3 blue, and 2 green marbles. What is the probability of randomly selecting a red marble? What is the probability?(A) 1/2(2) 1/3(3) 1/4(4) 1/5 Solution: The probability of an event is given by : Probability = Number of favorable outcomes/Total number of outcomes Here, the total number of marbles is 5+3+2=10, and there are 5

Question: Find the area of a triangle with a base of 10 cm and a height of 6 cm. What is the area?A. 30 cm²B. 60 cm²C. 70 cm²D. 80 cm² Solution: The area of a triangle is given by: Area = 1⁄2 × Base × HeightSubstitute the values : Area = 1⁄2 × ×10×6

Question: Simplify the expression 4(3x+5) − 2(2x+3). What is the simplified expression?(A) 10x+14(B) 8x+20(C) 8x+14(D) 10x+20 Solution: Distribute the numbers:4(3x+5) = 12x+20 − 2(2x+3) = −4x−6 Now, combine like terms: 12x−4x + 20−6 = 8x+14Then the correct option 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: Find the area of a trapezoid with bases of 8 cm and 12 cm and a height of 5 cm. What is the area?A. 50 cm²B. 60 cm²C. 70 cm²D. 80 cm² Solution: The area of a trapezoid is given by: Area = 1⁄2 × (Base₁ + Base₂) × Height Substitute the values: Area

Question: A shirt originally costs $40 and is now priced at $50. What is the percent increase in price? What is the percent increase?A. 20%B. 25%C. 30%D. 35% Solution: Calculate the percent increase: Percent Increase = New Price−Old Price/Old Price × 100Percent Increase = 50−40/40 × 100Percent Increase = 10⁄40 × 100 = 25% 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: Find the median of the data set: 7, 5, 12, 10, 8. What is the median?A. 7B. 8C. 10D. 12 Solution: First, order the data set: 5, 7, 8, 10, 12. The median is the middle value:Median = 8Thus, the correct option is (B) 8. 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: Sam has $20. He spends 1⁄4 of it on a toy. How much money is left?a) $5b) $10c) $15d) $12 Solution: Find 1⁄4 of $20:20÷4=5.Subtract: 20−5=15.Thus, 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