**THE UNITED REPUBLIC OF TANZANIA NATIONAL EXAMINATIONS COUNCIL OF TANZANIA**

**FORM TWO NATIONAL ASSESSMENT**

**041 BASIC MATHEMATICS**

**Time: 2:30 Hours ** **Wednesday****, 16th November 2016 a.m.**

**Instructions**

1. This paper consists of **ten (10) **compulsory questions.

2. Show **clearly **all the working and answers in the space provided.

3. All writing must be in **blue **or **black** ink except drawings which must be in pencil.

4. Four figure mathematical tables, **geometric **instruments and graph papers may be used where necessary.

5. All communication devices, calculators and any **unauthorized **materials are not allowed in the examination room.

6. Write your **Examination Number** at the top right hand corner of every page.

1.(a) Calculate the sum of the prime numbers between 70 and 90.

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(b)if x = 6, *y= -*14 and z = 16, find the value of

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2.(a) Lightness, Nancy and Zawadi shared some money, Zawadi got of

the money, Nancy got of the remaining money. What fraction of the money did Lightness get?

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(b)In a class of 40 students, 5 of them are absent. What percent is present?

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3.(a) A container holds 20 litres of milk. If 50 bottles of milk are needed to fill the container, how many millilitres of milk does each bottle hold? (Use 1 litre = 1,000 millilitres).

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(b) Calculate the following:

(i)(70kg 49g) - (38kg 95g)

(ii)(6km 4 m) - (4 km 11 m)

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4.(a) Calculate the size of the angle marked *x* in the following figure:

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(b) Use the following figure to:

(i)Find the value of *in* and *n.*

(ii)Determine the number of triangles.

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5. (a) Solve for *x* in the inequality 3x-4≥ x+16

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(b) Solve the following pairs of simultaneous equations by the elimination method

2x+y=10

3x-2y=1

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6. In a class of 40 students, 24 students study Geography and 21 students study History. Use Venn diagrams to find the number of students who study both Geography and History.

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7. The angle of elevation of the top of a tower from a point on the ground 75 metres from the foot of the tower is 25°. Find the height of the tower to the nearest metre.

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8. (a) Calculate the area and the perimeter of the following trapezium:

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(b) Find area of the Shaded region

Use

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9. (a) Given angle LMT = angle LNT, use the following figure to prove that *LM= LN*

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(b) and AC = 20cm, RP = 10 cm, RQ = 12cm and PQ 9cm.

Find the length of AB and BC

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**BC= 12 x 2 =24cm**

10.The following table shows marks for a Form Two History monthly test:

**Marks in** **%** | 25 | 35 | 40 | 50 | 60 | 65 | 70 | 75 | 80 |

**No. of studs.** | 2 | 3 | 5 | 7 | 11 | 7 | 4 | 2 | **1** |

(a)What is the lowest mark?

(b)What is he highest mark?

(c)Which mark is scored by the greatest number of students?

(d)If 60% is the pass mark in the test, how many students failed?

(e) How many students are in Form Two class

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