Mathematics · Paper 1 · 2020
17 questions 🏝 ZEC ✓ MS3-hour timed simulation · auto-graded · counts toward ranking
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Section A
Subtract sixty seven thousand, four hundred and fifty five from three hundred and sixty seven thousand, two hundred and sixty five.
- Calculate 367265 - 67455. (5 mk)
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Express 132 as the product of prime factors.
- Find the prime factors of 132. (5 mk)
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Find the value of (2/7 ÷ 1/7) × (3/4 ÷ 5/2) + 15/84 - 15/84
- Calculate the value of the expression following the order of operations (BODMAS/PEMDAS). (5 mk)
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Convert 281 to base 4.
- Convert the number 281 (base 10) to base 4. (5 mk)
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A man from Zanzibar has 3000 US dollar and intended to convert them into Tanzania shillings. If 1 US dollar is equal to sh. 2150 TZS. How much does he get in Tanzania shillings?
- Calculate the total Tanzania shillings obtained by converting 3000 USD at an exchange rate of 1 USD = 2150 TZS. (5 mk)
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The volume of the cube is 216 cm3. Find the area of its base.
- First, find the side length of the cube using its volume. Then, calculate the area of the base. (5 mk)
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Simplify (x+2)/6 + (2x-3)/4
- Find a common denominator and add the two algebraic fractions. (5 mk)
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Find the value of (+10)×(−12)+(+7)×(+4).
- Perform the multiplications first, then the addition. (5 mk)
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Convert 19.75% in fraction.
- Convert the percentage to a decimal, then to a fraction, and simplify. (5 mk)
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Find the value of angles a and b in the figure below
- Find the value of angle a. (2 mk)
- Find the value of angle b. (3 mk)
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Section B
Look at the calendar and answer the following questions given below. a) Was 2014 an ordinary year or a leap year? Why? b) How many months have 30 days? List them. c) Consider today is 14th October 2014 and the examination is supposed to start at 8th December. How many days have remained to start the examination? d) Which month has least number of days?
- Was 2014 an ordinary year or a leap year? Why? (2 mk)
- How many months have 30 days? List them. (3 mk)
- Consider today is 14th October 2014 and the examination is supposed to start at 8th December. How many days have remained to start the examination? (3 mk)
- Which month has least number of days? (2 mk)
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a) Ali deposited shs.300,000 in a saving account at the interest rate of 7 1/2 % per annum. After how many years will the interest be shs.45,000? b) A car was bought at sh. 4,000,000 and got a loss of sh. 3,000,000. Find the percentage loss.
- Ali deposited shs.300,000 in a saving account at the interest rate of 7 1/2 % per annum. After how many years will the interest be shs.45,000? (5 mk)
- A car was bought at sh. 4,000,000 and got a loss of sh. 3,000,000. Find the percentage loss. (5 mk)
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The following table shows the number of patients treated in Mnazi Mmoja hospital in one day: Diseases Malaria Flue Diarrhoea Others Number of the patients 160 20 180 m a) If the total number of the patients is 400, find the value of m. b) Find the angle representing other diseases. c) Show the data by using a pie chart.
- If the total number of the patients is 400, find the value of m. (3 mk)
- Find the angle representing other diseases. (4 mk)
- Show the data by using a pie chart. (3 mk)
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Look at the numbers in the table below, then write down. 39 24 13 15 81 28 40 11 5 a) Two numbers that add to give 64 b) Two numbers that differ by 15 c) A perfect square(s) d) Prime number(s) e) Even number(s)
- Two numbers that add to give 64 (2 mk)
- Two numbers that differ by 15 (2 mk)
- A perfect square(s) (2 mk)
- Prime number(s) (2 mk)
- Even number(s) (2 mk)
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Find the area of the shaded portion of the shape shown below. 8𝑐𝑚 13𝑐𝑚 9 cm 9𝑐𝑚 5𝑐𝑚 4 cm 16𝑐𝑚
- Find the area of the shaded portion of the shape shown below. (10 mk)
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The following table shows the masses in kilogram of packets of beans sold by Juma. Mass of beans in (𝑘𝑔) 20 25 30 35 40 45 Number of packets of beans 3 8 14 8 4 2 Draw the histogram on the graph paper to display the data.
- Draw the histogram on the graph paper to display the data. (10 mk)
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