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WASSCE TRAIL 2022
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CORE MATHEMATICS
QUESTION 1
Using a ruler and a pair of compasses only, construct a triangle ABC such that lABl=7.1cm, lACl=7cm, and <BAC =105°. Construct the bisector of <BAC to meet BC at X and the bisector of AC to meet AX produced at Y. Measure :
*(a)* IXYl,
*(b)* IBCI.
____________
*QUESTION 2*
(a)* Copy and complete the table of values for y=x²–2 for –3≤x≤4.
*__________*
x –3. –2. –1. 0. 1 . 2. 3. 4.
y. 2. –2. 2. .
*_________*
*(b)* Using a scale of 2cm to 1 unit on the X-axis and a scale of 2units on the y-axis, draw the graph of y=x²–2.
*(c)* Use your 21. If the common difference is positive, find the numbers.
*(b)* If the total surface area of a sphere is 154cm², find its radius.
us[ Take π=22/7]–3≤x≤4.
*_____
*QUESTION 3*
*(a)* Without using tables or calculator, evaluate √0.14×3.2/0.0028×90.
*(b)* The piolet of an aircraft 2,000 metres above the sea level observes at an instant that the angle of depression of two boats which are in direct straight line are 50° and 72°. Find, correct to the nearest metre, the distance between the two boats. ced at Y__
*(a)* Using a scale of 2cm to 2units on both axes, draw on the graph sheet two perpendicular axes, Ox and Oy, for the interval –10 ≤x 10, –12 ≤ y ≤ 12.
*(b)* Draw clearly, label the vertices and indicate coordinates as appropriate,
*(i)* triangle ABC with vertices
A(3, 1), B(1,5) and C(5, 7);
*(ii)* image triangle A1 B1 C1 of triangle ABC under an enlargement with scale factor –½ from the origin where A––>A1,
B––>B1, and C––>C1;
*(iii)* image triangle A2 B2 C2 of triangle ABC under an anticlockwise rotation of 90° about the origin where A–– >A2, B–– >B2, and C––>C2.
*(c)* Determine the equation of the line A2C2.unit on the X-*QUESTION 4*
*(a)* Draw the
*(i)* addition (+)
*(ii)* Multiplication (×)
tables for the set x={ 1,2,3,4,5,6} modulo 6.
*(b)* From your tables, solve :!
*(i)* (4 (+) n) (+) n =4;
*(ii)* t (+) (t (×) 3)=2.
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_AC =105
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Monday, 20th June, 2022
O/L Mathematics II
8:30am - 11:00am
A/L Mathematics II
8:30am - 11:30am
Sociology II
8:30am - 11:00am
O/L Mathematics I
12:30pm - 2:00pm
Geography I
2:30pm - 5:30pm
Hausa III
2:30pm - 5:30pm
=======================
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Lungs or Gills
A major product that must be excreted from all animals is carbon dioxide. Carbon dioxide is created in the cells, as they undergo aerobic respiration. This waste product is removed from the cells and transferred to the bloodstream. When the blood reaches the gills or lungs, it is exchanged for oxygen and released into the atmosphere. Fish also use their gills to expel a number of other waste products.
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Skin
The skin is a secondary excretory organ since sweat glands in the dermis can remove salts and some excess water. The skin also has sebaceous glands that can secrete waxy lipids.
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Large Intestine
The liver is also necessary for the removal of the decomposed hemoglobin, some drugs, excess vitamins, sterols, and other lipophilic substances. These are secreted along with bile and finally removed from the body through feces. The large intestine, therefore, plays a role in excretion, especially for hydrophobia particles.
