ONE-EIGHTH STAGE 2025
Opoku Ware SHS: 67 points
Fijai SHS: 36 points
Amenfiman SHS: 30 points
Aburi Girls' SHS: 56 points
Apam SHS: 46 points
Konongo Odumase SHS: 44 points
Accra Academy: 48 points
Aggrey Memorial Zion SHS: 34 points
Kwahu Tafo: 26 points
ROUND 4 - TRUE OR FALSE
1. The locus of a point whose abscissa is $5$ is $5$ more than the ordinate if $y=x+5$
ANSWER: FALSE
EXPLANATION:
Abscissa = x-coordinate of a point.
The locus of points with abscissa 5 means $x=5$.
The equation $y=x+5$ gives $y=5+5=10$ at $x=5$.
The statement “5 more than the ordinate” implies $x=y+5$, which is not true here.
Therefore, the statement is FALSE.
2. The locus of a point whose ordinate is $-3$ is $y=-3$
ANSWER: TRUE
EXPLANATION:
Ordinate = y-coordinate of a point.
All points with $y=-3$ form a horizontal line at $y=-3$.
Therefore, the statement is TRUE.
3. The locus of a point whose ordinate and abscissa are equal is $y=x$
ANSWER: TRUE
EXPLANATION:
The condition “ordinate = abscissa” means y = x.
All points satisfying y = x lie on the line passing through the origin at 45°.
Therefore, the statement is TRUE.
NOTE: Statement 1 is garbled. Read as "the locus of a point whose abscissa is 5 more than its ordinate is $y = x + 5$", it is FALSE, because that locus is $x = y + 5$, that is, $y = x - 5$.
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PRACTICE QUESTIONS
1. QUESTION: The locus of a point whose abscissa is $4$ is $x = 4$.
ANSWER: TRUE
EXPLANATION:
The abscissa is the $x$-coordinate.
2. QUESTION: The locus of a point whose ordinate is $2$ is $y = 2$.
ANSWER: TRUE
EXPLANATION:
The ordinate is the $y$-coordinate.
3. QUESTION: The locus of a point whose abscissa is $-1$ is $y = -1$.
ANSWER: FALSE
EXPLANATION:
It is the vertical line $x = -1$.
4. QUESTION: The locus of a point whose ordinate is twice its abscissa is $y = 2x$.
ANSWER: TRUE
EXPLANATION:
Ordinate $= 2 \times$ abscissa.
5. QUESTION: The locus of a point whose abscissa is $3$ more than its ordinate is $x = y + 3$.
ANSWER: TRUE
EXPLANATION:
Abscissa $=$ ordinate $+ 3$.
6. QUESTION: The locus of a point whose ordinate is the negative of its abscissa is $y = x$.
ANSWER: FALSE
EXPLANATION:
It is $y = -x$.
7. QUESTION: The locus of points whose ordinate is $0$ is the $x$-axis.
ANSWER: TRUE
EXPLANATION:
Every point on it has $y = 0$.
8. QUESTION: The locus of points whose abscissa is $0$ is the $x$-axis.
ANSWER: FALSE
EXPLANATION:
It is the $y$-axis.
9. QUESTION: A locus is the set of all points that satisfy a given condition.
ANSWER: TRUE
EXPLANATION:
It is often a line or a curve.