ACT Math Questions with Complete Solutions 2024/2025

If 60% of a given number is 9 then what is 25% of the given - Ans ..6x=9 X=15 .25x=15 X=3.75 The average of 8 numbers is 6.5. If each of the numbers is decreased by 3 what is the average of the 8 new numbers - Ans .The total: 8x6.5= 52 If each number is decreased by 3: 52-8(3)=28 To find average 28/8 Answer:3.5 On the clock shown what is the number of degrees that the hour hand of the clock moves from 1 to 8 - Ans .360 degrees in a circle 12 segments bc 12 hours on clock 360/12=30: each hour is equivalent to 30 degrees 30 degrees x 7 (hours between 1 and 8) 210 degrees Which of the following is a factored form of 3x^3 y^3 + 3xy - Ans .Factor out the greatest common factor which is 3xy 3xy(x^2 y^2 + 1) If 20% of x equals 16 then x= - Ans .16/x= 20/100 Cross multiply: 20x= 1600 X=80 You pay for a watch priced at 12.99 a sales tax of 6% is added you have 15 to pay how much in coins will you need if you want to pay exact change - Ans .12.99x .06= .7794 12.99 + .78= 13.77 .77 is needed Two strips of tape are to be used to seal a box both must go completely around the box (length 40 cm, width 13 cm, height 20 cm) - Ans .2(40)= 80 2(13)= 26 4(20)= 80 80+80+26= 186 Study matrices - Ans .... When exponents are raised to an exponent the rule states that you must multiply the exponents by the power they're raised - Ans .... If for all x, (x^ (4a-3)2)= x^10 a=? - Ans .8a-6= 10 8a=16 a=2 For the complex number I such that i^2= -1 what is the value of i^6 + 3i^4 - Ans .I^6= (i^2)(i^2)(i^2)= (-1)(-1)(-1)= -1 3i^4= 3(i^2)(i^2)= 3(-1)(-1)= 3 = -1+3= 2 When multiplying exponents the rules state that you should add exponents with lik