Number Manipulation
Muhtasari
Every calculation you do at IGCSE, from a percentage change to a quadratic solution, rests on a small set of number skills: knowing which operation to apply first, breaking numbers into their prime building blocks, and handling roots that refuse to simplify to a whole number. This topic gathers those foundations into one toolkit.
You will practise the order of operations, use prime factorisation to find the highest common factor and lowest common multiple, apply the laws of indices to integer, negative and fractional powers, and learn to simplify and rationalise surds so that every answer is left in its neatest, exact form.
Malengo
- Use the ordinary processes of number manipulation including the four operations and combination of them by use of brackets
- Understand and use prime numbers, factors and multiples, including finding HCF and LCM in simple cases
- Use index notation and index laws for multiplication and division involving integer, fractional and negative powers
- Perform simple manipulation of surds, understanding what surds represent and their use for exact answers
- Rationalise the denominator
- Recognise and use natural numbers, integers, rational and irrational numbers
Maelezo ya Somo
Inapatikana kwenye programu ya Green Bridge
Pakua programu ya Green Bridge CBT kwenye simu yako au kompyuta yako ili kupata maelezo kamili ya masomo, maswali ya mazoezi, na mengi zaidi.
Tathmini ya Somo
Hongera kwa kukamilisha somo la Number Manipulation. Sasa kwa kuwa umechunguza dhana na mawazo muhimu, ni wakati wa kuweka ujuzi wako kwa mtihani. Sehemu hii inatoa mazoezi mbalimbali maswali yaliyoundwa ili kuimarisha uelewaji wako na kukusaidia kupima ufahamu wako wa nyenzo.
Utakutana na mchanganyiko wa aina mbalimbali za maswali, ikiwemo maswali ya kuchagua jibu sahihi, maswali ya majibu mafupi, na maswali ya insha. Kila swali limebuniwa kwa umakini ili kupima vipengele tofauti vya maarifa yako na ujuzi wa kufikiri kwa makini.
Tumia sehemu hii ya tathmini kama fursa ya kuimarisha uelewa wako wa mada na kubaini maeneo yoyote ambapo unaweza kuhitaji kusoma zaidi. Usikatishwe tamaa na changamoto zozote utakazokutana nazo; badala yake, zitazame kama fursa za kukua na kuboresha.
- What is the value of 4 + 2 x (9 - 6)^2? A) 22 B) 40 C) 46 D) 108 Answer: A
- The prime factorisation of 60 is 2^2 x 3 x 5. What is the LCM of 60 and 2^3 x 3^2? A) 12 B) 180 C) 360 D) 720 Answer: C
- Which of the following is equal to 5^(-2)? A) -10 B) -25 C) 1/10 D) 1/25 Answer: D
- Which number is a surd? A) The square root of 49 B) The square root of 11 C) The square root of 100 D) The cube root of 27 Answer: B
- Simplify the square root of 45. A) 3 times the square root of 5 B) 5 times the square root of 3 C) 9 times the square root of 5 D) 15 times the square root of 3 Answer: A
Inapatikana kwenye programu ya Green Bridge
Pakua programu ya Green Bridge CBT kwenye simu yako au kompyuta yako ili kupata maelezo kamili ya masomo, maswali ya mazoezi, na mengi zaidi.
Inapatikana kwenye programu ya Green Bridge
Pakua programu ya Green Bridge CBT kwenye simu yako au kompyuta yako ili kupata maelezo kamili ya masomo, maswali ya mazoezi, na mengi zaidi.
Vitabu Vinavyopendekezwa
Fanya Mazoezi ya Maswali ya Majaribio
Ungependa kufanya mazoezi ya maswali ya majaribio kuhusu Number Manipulation? Pakua programu ya Green Bridge CBT ili kupata maswali ya majaribio na tathmini kamili za mazoezi kuhusu mada hii.
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