Page 107 - Mathematics
P. 107
Activity 5.4: Demonstrating 4. Twice the length of a rectangle
occurrence of exceeds three times its width by
simultaneous events one centimetre. If one third of the
1. Use various resources such as offline difference of the length and the
and online libraries, applications width is one centimetre, find the Tanzania Institute of Education
and games, and real objects to dimensions of the rectangle.
discuss real life scenario which 5. The cost of 4 pencils and 5 pens
apply the concept of simultaneous together is 6,000 Tanzanian
equations. shillings, while the cost of 6
2. Represent the scenarios using pencils and 8 pens together is
systems of linear simultaneous 9,400 Tanzanian shillings. Calculate
equations, describe the variables, the cost of one pencil and one pen.
solve them and interpret the
scenarios. 6. Half of Paul’s money plus one
fifth of Hamisa’s money is 14,000
Tanzanian shillings. Three quarters
Exercise 5.7
of Paul’s money plus two-thirds
of Hamisa’s money is 26,500
1. The sum of two numbers is 109 Tanzanian shillings. How much
and their difference is 29. Find the does each one has?
numbers.
2. Two numbers are such that the 7. One-third of the sum of two
numbers is 50 and one fifth of their
first number plus three times the difference is 2. Find the numbers.
second number is 1, and the first 8. One pair of the opposite sides of a
number minus three times the parallelogram is 4x − 3y units and
1
second number is . Find the two (3x − 5)units while the other pair is
numbers. 7 1
3. The sum of the number of boys and (2x + ) y units and 2 units. Find
2
girls in a class is 36. If twice the the values of x and y.
number of girls exceeds the number 9. The sides of an equilateral
1
of boys by 12, find the number of triangle are given as 3 x y+
girls and boys in the class. 2 Mathematics Form One
centimetres, (2y − 6 )x centimetres,
y
and x ++ 2 centimetres. Find the
values of x and y.
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Mathematics form 1.indd 101
Mathematics form 1.indd 101 25/10/2024 09:51:35
