Grade 10 – Ext. Mathematics – Diagnostic Assessment
1.
Round 195007.460421003 to
[C-2]
(a)
3 decimal places ____________________________
(b)
3 significant figures __________________________
(c)
1 significant figure ___________________________
(d)
the nearest 10,000th ____________________________
2.
A man and a woman share a bingo price of $1,000 between them in the ratio 1 : 4. The woman
shares her part between herself, her mother and her daughter in the ratio 2 : 1 : 1. How much
does her daughter receive?
[A-3]
3.
Solve the following equation.
4.
5.
xx
x x
 1100
2 4
[A-3]
Solve each of the following equations. Be smart and use fastest method.
(a)
3(x – 2)(x + 1) = 0
(b)
2(x – 1)2 – 6 = 0
(c)
3x2 – 2x + 1 = 0
Solve the simultaneous equations. Use the appropriate strategy.
[A-2+3+3]
[A-3; C-1]
3x – 2 y  5 and y  x – 2
6.
7.
8.
9.
Given that the price of three pens and two copybooks is $16 and the price of two pens and four
copybooks is $24, find the price of one pen and the price of one copybook.
[A-2; C-2]
x – 5 5x – 1
[A-4]

; x  –1 , solve x.
–1
x 1
A student answered 86 problems on a test correctly and received a grade 98%. How many
problems were on the test, if all the problems were worth the same number of points? (Round to
the nearest whole number)
[A-2, C-2]
Find the largest possible Domain and Range;
a. f(x)=
Given that
1