## LenAcad

Questions on Mathematics

# Factorize 12a2 - 20a + 3 A. (6a - 1)(2a - 3) B. (6a - 1)(2a + 3) C. (6a + 1)(2a - 3) D. (6a + 1)(2a + 3) E. (-6a + 1)(2a - 3) F. (-6a + 1)(2a + 3) ANSWER: (6a - 1)(2a - 3) To factorize the above equation, we will need to split the middle value into 2 numbers whose: Addition or Subtraction will be equal to -20a Product will be equal to 36a² (that is, the product of 12a2 and 3 (at the right side). -18a – 2a will work for us because: Their subtraction = -20a Their multiplication = 36a² 12a2 – 18a – 2a + 3 Notice that 12a2 and 18a are divisible by '6a' (That is, 6a is a factor) while 2 and 3 are not divisible. Therefore we can write: 6a(2a - 3) -1(2a - 3) Now the brackets are the same, so our answer is: Answer = (6a - 1)(2a - 3) Please read on factorization here Simplify 10ab + 7ab A. 17ab2 B. 17a2b2 C. 3ab2 D. 3a2b2 E. 17ab F 3ab ANSWER: 17ab From the question, since 10ab and 7ab possess the same coefficients, that is: (+10 and +7); we will simply add both coefficients in order to get our answer. (10 + 7)ab = 17ab You can read on the concept of algebra here Which of the following is not a type of angle? A. Right angle B. Left Angle C. Acute Angle D. Complete Angle E. Straight Angle F. Reflex angle ANSWER: Left Angle Left angle is not a type of angle The image below shows the type of angles: Acute Angle: An angle that is less than 90o Obtuse Angle: An angle that is greater than 90o but less than 180o Right Angle: An angle that is exactly 90o Straight Angle or Angle on a Straight Line: An angle that is exactly 180o Reflex Angle: An angle that is greater than 180o but less than 360o Complete Angle or Full Rotation Angle: An angle that is exactly 360o Please read on Types of Angles here Two lines that can never meet each other are best considered as _____ lines. A. straight B. vertical C. horizontal D. parallel E. oblique F. perpendicular ANSWER: Parallel Parallel lines are lines that can never meet each other no matter the length at which you extend them. You can read on Type of Lines here An angle at exactly 90o is a/an _____ angle. A. acute B. obtuse C. reflex D. right E. complete F. straight ANSWER: Right A Right angle is an angle at exactly 90o. It is formed at the point where a vertical line and horizontal line meet. In the above diagram, it is formed at point E where the horizontal line AB meets the vertical line CD. Please read on Angles here Slanted or tilted lines that will finally meet at some point but NOT at a right angle are referred to as _____. A. Oblique B. Curved C. Vertical D. Perpendicular E. Parallel F. Horizontal ANSWER: Oblique Oblique lines will always meet at some point but NOT at a right angle. Note: A right angle is an angle at 90o. It's formed where a vertical and horizontal line meet. The diagram below shows some of the line types Figure 1 illustrates an Oblique line Figure 2 illustrates a perpendicular line. The perpendicular line comprises of a vertical and horizontal line that meets at a right angle (90o) Figure 3 and 4 illustrates parallel lines respectively because they will never meet throughout their path Please read on the Type of Lines here The two sides that forms an angle are referred to as the _____. A. Arms B. Vertexes C. Bays D. Zones E. Limbs F. Dune ANSWER: Arms A and C are the arms of angle α (alpha) in the above diagram. This implies that they are the two sides that forms angle α Please read on Angles here The point where the two sides of an angle meet is termed the _____. A. Arms B. Vertex C. Bays D. Zones E. Limbs F. Dune ANSWER: Vertex The two sides of an angle (arms) meets at a point called the vertex How many digits are there in -223.00 A. 1 B. 2 C. 3 D. 4 E. 5 F. 6 ANSWER: 5 The digits in the question are 2, 2, 3, 0, 0 Digits in Mathematics consists of 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 Note: Decimal point and Minus are not digits. Please read on Number Bases here 30% of 2 is equal to _____. A. 30 B. 0.6 C. 75 D. 0.25 E. 0.3 F. 60 ANSWER: 0.6 30% of 2 simply means 30 divided by 100. The answer is then multiplied by 2. 30/100 = 0.3 0.3 x 2 = 0.6 \$(".reglogin").hide(); \$(document).ready(function() { \$(".see1").click(function() { \$(this).next().slideToggle('slow'); }); }); \$(".answer").hide(); \$(document).ready(function() { \$(".see").click(function() { \$(this).next().slideToggle('slow'); }); });

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