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Mathematics Form 1 Examination Papers Term 1 Question and AnswersTERM ONE (1)
SIMPLIFY:
\[\large \frac{p^{2}+2pq+q^{2}}{p^{3}-pq^{2}+p^{2}q-q^{3}}\]
STEP 1: FACTORIZE THE NOMINATOR AND DENOMINATOR
\[\large \frac{(p+q)(p+q)}{p(p^{2}-q^{2})+q(p^{2}-q^{2})}\]
\[\large \frac{(p+q)(p+q)}{(p+q)(p+q)(p-q)}\]
Step 2: do the cancellation;
\[\large \frac{1}{(p-q)}\]
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​All prime numbers less than ten are arranged in descending order to form a number.​(a) Write down the number formed. (1 mark)
\[\large 7532\]
Note that;
​b) State the total value of the second digit in the number formed in (a) above. (1 mark)
\[\large 500\]
Note that;
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WITHOUT USING MATHEMATICAL TABLES OR A CALCULATOR, EVALUATE;
\[\large \frac{\sqrt[3]{675\times 135}}{\sqrt{2025}}\]
Step 1: find the prime factors of each number.
this step will help find the cube root of the nominator and the square root of the denominator
\[\large \frac{\sqrt[3]{3^{3}\times 5^{2}\times 3^{3}\times 5}}{\sqrt{3^{4}\times 5^{2}}}\]
Step 2: Get the cube root and the square root,then compute the answer
\[\large \frac{\sqrt{3^{2}\times 5}}{\sqrt{3^{2}\times 5}}\]
\[\large = 1\]
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wHAT ARE nATURAL NUMBERS?Natural numbers also called counting numbers are numbers ranging from 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 Place ValueThis is the position of a digit in a number. Importance of place valuesPlace value helps students understand values of numbers in a series of numbers, such as computing the total value of a number in a group of numbers, rounding off numbers, changing numbers from figures to words vis a vis and operations on numbers. This is very essential in the counting of numbers as applied in science, real life situations, mathematics, business and accounting etc. example 1.What is the position of 6 in the number 346789 PROCEDURE FOR FINDING A PLACE VALUE
exercisesNote: touch on the question to see answer What is the place value of 5 in the number 524239
Hundred Thousands What is the place value of 1 in the number 721
Ones state the place values of digit 8 in each of the following numbers
(a) 1689 Tens (b) 4008772
Thousands (c) 2847246
Hundred Thousands (d) 184392649
Ten Millions (e) 281199300505
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