Mathematics Diagnostic Tests

The Mathematics Diagnostic Tests by PLS Academy are designed to help students evaluate their preparation for entry tests, FSC exams, ECAT, NUST NET, and NTS exams. These tests cover key topics in algebra, calculus, trigonometry, geometry, and statistics, allowing students to identify strengths, weaknesses, and areas that require improvement. Detailed feedback after each test helps aspirants focus on weak concepts, enhance problem-solving skills, and plan targeted revision. Whether preparing for ECAT, NUST NET, NTS, or FSC Mathematics, these diagnostic tests enable students to track progress, strengthen skills, and optimize their preparation strategy to achieve top scores.

273

Created by PLS Academy

Mathematics Diagnostic Test

Topic: Mathematics Diagnostic Test

Quiz Contains: 20 MCQs

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1 / 20

In any triangle ABC, with usual notation, which one of them is not true

∆ = 1/2 ab sinγ

∆ =1/2 bc sinα

∆ =1/2 α sin β γ/sin α

∆2 =s (s a)(s b)(s c)

2 / 20

The conic ax²+2hxy+by+2gx+2fy+c=0 never represent a circle if:

a ≠ b. h ≠ 0

h ≠ 0

a=b

h = 0

3 / 20

if y=a^x then y_n is equal to (where a>0,xxER)

a^x.Ina

a^nx.lna

a^x(lna)^n

a^nx(lna)^n

4 / 20

What will be the volume of parallelepiped represented by the vectors u = 9i – 5j, v = 6i – 7j + k, w = i – k?

5 / 20

If A(-1,h), B(3,2) and C(7,3) are collinear, then h =?

-1

None of these

6 / 20

2 sin² [a/2]=

1+cos a

1- cos a

1+sin a

1- sin a

7 / 20

The probability that a leap year selected at random will contain 53 sundays, is:

3/7

1/7

2/7

8 / 20

Sin^-1 (-x) =…….

– Sin-1x

Sin-¹ x

π – Sin-1 x

π – Sin x

9 / 20

If (|r|<1) then, (S_n =)

(frac{a_1 (1 – r^n)}{1-r})

(frac{a_1 (r^n – 1)}{1-r})

(frac{a_1 (r^n – 1)}{r-1})

(frac{a_1 (1 – r^n)}{r-1})

10 / 20

11 / 20

If the line segment obtained by joining any two points of a region lies entirely within the region is called:

Concave

Convex

Both A and B

None

12 / 20

360 students study at a school where 248 students study Turkish, 126 study Arabic, and 18 study neither. How many students study both Arabic and Turkish?

13 / 20

sin 15=?

√3 – 1 / 2√2

√3+1 / 2√2

√3 +1 / 2

√3 – 1 / 2

14 / 20

If cos x=-1 then solution set is

{pi}

{pi+npi}

{pi+2npi, n€Z}

None of these

15 / 20

If h² and higher powers of ‘h’ are neglected then √1+2h/1-h

1-3/2h

1+3/2h

1-2/3h

1+2/3h

16 / 20

For an identity cot⁴+ cot²0 = cosec+0 – cosec⁴0, is:

2π

π /2

Non of these

17 / 20

47. If the discriminant is negative, then the roots are:

(a) Real & distinct

(b) Imaginary & distinct

(d) Irrational and distinct

18 / 20

Derivation of x3 w.r.t x2 is:

3x^2

None of these

19 / 20

20 / 20

Your score is

Pos.	Name	Score	Duration
1	Anonymous	100 %	48 seconds
2	Muhammad Awais	100 %	51 seconds
3	Saad Khan	100 %	54 seconds
4	Shaista	100 %	55 seconds
5	osaid	100 %	2 minutes 41 seconds
6	ibraheem	95 %	50 seconds
7	Dawood	95 %	52 seconds
8	NONE	95 %	52 seconds
9	abdullah umar	95 %	56 seconds
10	Saad	95 %	1 minutes 1 seconds
11	abdullah umar	95 %	1 minutes 12 seconds
12	Jawad	95 %	1 minutes 26 seconds
13	NONE\	90 %	51 seconds
14	NONE	90 %	56 seconds
15	Muhammad Awais	90 %	1 minutes 6 seconds
16	12345	90 %	1 minutes 11 seconds
17	Bilal	90 %	1 minutes 30 seconds
18	ibraheem	90 %	1 minutes 34 seconds
19	Taha	90 %	1 minutes 56 seconds
20	urwah	90 %	2 minutes 14 seconds
21	sddc	90 %	2 minutes 32 seconds
22	Ahmed Nafees	90 %	4 minutes 20 seconds
23	Maham	90 %	5 minutes 16 seconds
24	Dawood	85 %	1 minutes 10 seconds
25	Arib	85 %	1 minutes 20 seconds
26	Hello 2	85 %	1 minutes 23 seconds
27	sadi	85 %	1 minutes 47 seconds
28	nelson	85 %	1 minutes 56 seconds
29	Mudasir bangash	85 %	2 minutes 20 seconds
30	Saeed	85 %	2 minutes 46 seconds
31	dawood	80 %	1 minutes
32	RIDWAN	80 %	1 minutes 13 seconds
33	N	80 %	1 minutes 39 seconds
34	Talha	80 %	1 minutes 49 seconds
35	Najeeb Ahmed	80 %	1 minutes 52 seconds
36	Shifa Arif	80 %	1 minutes 57 seconds
37	Saif	75 %	57 seconds
38	urwah	75 %	1 minutes 31 seconds
39	Hi	75 %	1 minutes 37 seconds
40	Ahmad	75 %	1 minutes 38 seconds
41	NOONE	75 %	1 minutes 40 seconds
42	rida	75 %	1 minutes 47 seconds
43	Nimra	75 %	1 minutes 54 seconds
44	Ahmad faiz khan	75 %	2 minutes 21 seconds
45	Muhammmad yahya	75 %	2 minutes 26 seconds
46	ma	75 %	2 minutes 47 seconds
47	JawD	75 %	2 minutes 54 seconds
48	Muhammad Awais	75 %	3 minutes 5 seconds
49	Yasir	75 %	6 minutes 16 seconds
50	raomohib	75 %	31 minutes 2 seconds
51	uzair	75 %	34 minutes 30 seconds
52	Hhh	70 %	1 minutes 37 seconds
53	amna	70 %	1 minutes 41 seconds
54	Abdullah umar	70 %	1 minutes 58 seconds
55	Muhammad Essa Mahar	70 %	2 minutes 18 seconds
56	anand	70 %	3 minutes 5 seconds
57	mm alam	70 %	3 minutes 11 seconds
58	fjwkjsj	70 %	10 minutes 28 seconds
59	Muhammad Maaz khan	70 %	17 minutes 40 seconds
60	Jibrail	65 %	1 minutes 17 seconds
61	Noor	65 %	1 minutes 30 seconds
62	david	65 %	1 minutes 30 seconds
63	Muaz Rana	65 %	1 minutes 53 seconds
64	Adil	65 %	2 minutes 13 seconds
65	Hello	65 %	2 minutes 23 seconds
66	Tanoli Bilal	65 %	2 minutes 28 seconds
67	Abid ur Rahman	65 %	5 minutes 29 seconds
68	Ubaidullah	65 %	7 minutes 13 seconds
69	Azan	60 %	1 minutes 35 seconds
70	R	60 %	1 minutes 42 seconds
71	Sadia	60 %	2 minutes 21 seconds
72	Miqdam Haider	60 %	2 minutes 31 seconds
73	Azwa mudassar	60 %	4 minutes 59 seconds
74	Zainab	60 %	12 minutes 58 seconds
75	Ibraheem	60 %	13 minutes 11 seconds
76	ggg	60 %	18 minutes 13 seconds
77	fatima	60 %	20 minutes 21 seconds
78	Asfg	60 %	22 minutes 59 seconds
79	op bolty	60 %	36 minutes 57 seconds
80	Nimra	60 %	50 minutes 28 seconds
81	Ayla Saeed	60 %	55 minutes 29 seconds
82	satii	60 %	3 hours 32 minutes 6 seconds
83	Ahmad Hassan	55 %	3 minutes 35 seconds
84	Ubaid	55 %	5 minutes 16 seconds
85	Mudasir Jamal	55 %	7 minutes 29 seconds
86	Soem	55 %	8 minutes 46 seconds
87	Muhammad Hamid	55 %	11 minutes 17 seconds
88	Taha	55 %	13 minutes 20 seconds
89	Mee	55 %	17 minutes 49 seconds
90	nemo	55 %	20 minutes 10 seconds
91	None	55 %	25 minutes 16 seconds
92	Maham	55 %	26 minutes 14 seconds
93	Uzair	55 %	28 minutes 36 seconds
94	Abdullah	55 %	41 minutes 29 seconds
95	nelson	55 %	3 hours 35 minutes 50 seconds
96	Noor	50 %	1 minutes 41 seconds
97	Hafsa	50 %	2 minutes 49 seconds
98	Zubaida	50 %	4 minutes 52 seconds
99	Ehsan shah	50 %	5 minutes 6 seconds
100	Safi	50 %	5 minutes 51 seconds
101	As	50 %	6 minutes 17 seconds
102	Sheraz	50 %	6 minutes 24 seconds
103	Iraj	50 %	7 minutes
104	rida	50 %	8 minutes 21 seconds
105	M Miqdam Haider	50 %	8 minutes 36 seconds
106	Mari	50 %	9 minutes 47 seconds
107	sadia	50 %	9 minutes 59 seconds
108	Najeeb Ahmed	50 %	10 minutes 36 seconds
109	Talha Bhatti	50 %	13 minutes 50 seconds
110	osaid	50 %	52 minutes 56 seconds
111	Dawood	45 %	27 seconds
112	GHULAM	45 %	1 minutes 58 seconds
113	Usama	45 %	2 minutes 5 seconds
114	iufudfud	45 %	2 minutes 9 seconds
115	Saif khan	45 %	2 minutes 56 seconds
116	Dileep	45 %	3 minutes 28 seconds
117	amna	45 %	3 minutes 47 seconds
118	..	45 %	4 minutes 20 seconds
119	peaky blinder	45 %	5 minutes 8 seconds
120	Siwiw	45 %	5 minutes 11 seconds
121	Muaz Rana	45 %	6 minutes 14 seconds
122	Muhammmad yahya	45 %	6 minutes 22 seconds
123	Ahmad	45 %	7 minutes 34 seconds
124	Muhammad Ali	45 %	7 minutes 52 seconds
125	Jawad	45 %	8 minutes 33 seconds
126	NONE OF YOU CONCERN	45 %	8 minutes 36 seconds
127	hi	45 %	9 minutes 5 seconds
128	Haroon	45 %	14 minutes 19 seconds
129	Raj rathi	45 %	17 minutes 17 seconds
130	anand	45 %	17 minutes 35 seconds
131	Hafeezullah	45 %	21 minutes 49 seconds
132	Adnanh	45 %	59 minutes 58 seconds
133	Hamza Jadoon	45 %	1 hours 2 minutes 30 seconds
134	Fawad Jillani	40 %	3 minutes 5 seconds
135	Seemab	40 %	3 minutes 48 seconds
136	Haha	40 %	3 minutes 59 seconds
137	Huzaifa ali	40 %	4 minutes 28 seconds
138	Ahmad Ali	40 %	7 minutes 3 seconds
139	MUHAMMAD NOMAN WAJID	40 %	7 minutes 21 seconds
140	Maaz	40 %	7 minutes 52 seconds
141	ma	40 %	8 minutes 32 seconds
142	Kashif Iqbal	40 %	11 minutes 16 seconds
143	anon	40 %	11 minutes 23 seconds
144	Fatima Ajmal	40 %	13 minutes 17 seconds
145	Najeeb Ahmed	40 %	13 minutes 40 seconds
146	jawad ahmed	40 %	13 minutes 50 seconds
147	TOUQEER ABBAS	40 %	14 minutes 22 seconds
148	.	40 %	15 minutes 19 seconds
149	Shifa Arif	40 %	15 minutes 30 seconds
150	rida	40 %	15 minutes 51 seconds
151	fawad	40 %	17 minutes 53 seconds
152	Saeed ullah shah	40 %	19 minutes 42 seconds
153	HIBA	35 %	37 seconds
154	Hamna	35 %	1 minutes 8 seconds
155	Qasim	35 %	1 minutes 31 seconds
156	Muhammad Momin Sajjad	35 %	1 minutes 50 seconds
157	Sadam Hussain	35 %	2 minutes 14 seconds
158	Amir	35 %	2 minutes 24 seconds
159	Jibrail	35 %	3 minutes 59 seconds
160	Haseeb	35 %	4 minutes 12 seconds
161	madiha	35 %	4 minutes 28 seconds
162	arhum	35 %	4 minutes 28 seconds
163	arya	35 %	6 minutes 1 seconds
164	Muhammad Awais	35 %	6 minutes 2 seconds
165	maaz	35 %	6 minutes 19 seconds
166	Muhammad Ahmad	35 %	6 minutes 34 seconds
167	m	35 %	6 minutes 49 seconds
168	Furqan Ahmed	35 %	6 minutes 55 seconds
169	Muhammad saad ur rehman	35 %	7 minutes 15 seconds
170	Dawood	35 %	7 minutes 24 seconds
171	Nn	35 %	7 minutes 29 seconds
172	Azwa Mudassar	35 %	9 minutes 36 seconds
173	Wajiha	35 %	10 minutes 19 seconds
174	Ahmed Nafees	35 %	12 minutes 24 seconds
175	Fatima	35 %	12 minutes 38 seconds
176	sunila	35 %	13 minutes 13 seconds
177	Ayesha	35 %	13 minutes 53 seconds
178	Moiz	35 %	14 minutes 59 seconds
179	za	35 %	15 minutes 15 seconds
180	sded	35 %	16 minutes 7 seconds
181	Usman Malik	35 %	17 minutes 9 seconds
182	A.	35 %	17 minutes 33 seconds
183	YaSiR	35 %	24 minutes 13 seconds
184	Talha	35 %	25 minutes 12 seconds
185	eman	30 %	1 minutes 15 seconds
186	tashfeen	30 %	1 minutes 37 seconds
187	M Miqdam Haider	30 %	2 minutes 34 seconds
188	Abdullah umar	30 %	2 minutes 37 seconds
189	Muhammad Abu Zar	30 %	2 minutes 44 seconds
190	Rukhsh	30 %	2 minutes 46 seconds
191	Abdullah	30 %	2 minutes 52 seconds
192	Aniya	30 %	3 minutes 8 seconds
193	Ss	30 %	4 minutes 4 seconds
194	GHULAM JILANI	30 %	4 minutes 17 seconds
195	fiza	30 %	4 minutes 43 seconds
196	Rameez	30 %	4 minutes 44 seconds
197	Sohaib Hafeez	30 %	5 minutes 4 seconds
198	ahmar	30 %	5 minutes 34 seconds
199	Ubaid	30 %	5 minutes 54 seconds
200	Asma	30 %	6 minutes 15 seconds
201	Who cares	30 %	6 minutes 46 seconds
202	Arib	30 %	7 minutes 17 seconds
203	muhammad sohaib	30 %	8 minutes 10 seconds
204	Ahmad faiz khan	30 %	8 minutes 11 seconds
205	nemo	30 %	12 minutes 51 seconds
206	Faiq Waleed	30 %	12 minutes 52 seconds
207	Ismail Ismail	30 %	14 minutes 56 seconds
208	y	30 %	16 minutes 32 seconds
209	Zeeshanjaat	30 %	18 minutes 43 seconds
210	ume ayesha	30 %	22 minutes 30 seconds
211	Ggfgh	30 %	23 minutes 33 seconds
212	PLSBOOST	25 %	33 seconds
213	M.FAIZAN SAFDAR	25 %	2 minutes 4 seconds
214	anaya noor	25 %	2 minutes 21 seconds
215	H	25 %	2 minutes 38 seconds
216	Dawood	25 %	2 minutes 43 seconds
217	Kashif	25 %	3 minutes 13 seconds
218	my	25 %	4 minutes 15 seconds
219	Iqra	25 %	4 minutes 25 seconds
220	hassan	25 %	4 minutes 30 seconds
221	Muhammad Taha Khalid	25 %	4 minutes 40 seconds
222	Saad Khan	25 %	5 minutes 13 seconds
223	Bial	25 %	5 minutes 24 seconds
224	urwah	25 %	5 minutes 31 seconds
225	Abdullah	25 %	5 minutes 38 seconds
226	Muhammad Moeen	25 %	6 minutes 33 seconds
227	Mari	25 %	6 minutes 54 seconds
228	Muneeb	25 %	7 minutes 9 seconds
229	malika	25 %	7 minutes 25 seconds
230	Sadia	25 %	9 minutes 19 seconds
231	Adil	25 %	10 minutes 5 seconds
232	adnan ashiq	25 %	10 minutes 7 seconds
233	ridwan	25 %	13 minutes 23 seconds
234	T	25 %	18 minutes 27 seconds
235	sadaf	25 %	27 minutes 34 seconds
236	groots	25 %	29 minutes 39 seconds
237	maliksubhan	20 %	1 minutes 30 seconds
238	R	20 %	2 minutes 23 seconds
239	Ayesha	20 %	2 minutes 44 seconds
240	Muhammad Ali	20 %	3 minutes
241	Hasnain	20 %	3 minutes 2 seconds
242	Muhammad Musa Shahid	20 %	3 minutes 34 seconds
243	Noor	20 %	4 minutes 3 seconds
244	Bilal	20 %	5 minutes 7 seconds
245	Hamza	20 %	6 minutes 19 seconds
246	kk	20 %	7 minutes 5 seconds
247	Mahad	20 %	8 minutes 5 seconds
248	Muhammad Essa Mahar	20 %	8 minutes 49 seconds
249	Wilayat Ali	20 %	9 minutes 53 seconds
250	Ubaidullah	20 %	10 minutes 58 seconds
251	Daniyal	20 %	26 minutes 24 seconds
252	anaya noor	15 %	1 minutes 19 seconds
253	Annu	15 %	2 minutes 35 seconds
254	Elsa	15 %	2 minutes 57 seconds
255	R	15 %	2 minutes 58 seconds
256	Bilal	15 %	3 minutes 44 seconds
257	Abdullah abbas	15 %	4 minutes 7 seconds
258	Safi ullah	15 %	5 minutes 22 seconds
259	Sateedan	15 %	7 minutes 9 seconds
260	Abid ur Rahman	15 %	8 minutes 34 seconds
261	Fehria Zainab	15 %	13 minutes 11 seconds
262	Talha	10 %	2 minutes 21 seconds
263	Fatima Navaid	5 %	47 seconds
264	MUHAMMAD ABDULLAH	5 %	51 seconds
265	Amina	5 %	2 minutes 2 seconds
266	anaya noor	5 %	3 minutes
267	Name	5 %	8 minutes 3 seconds
268	abdullah umar	0 %	19 seconds
269	ISRAR ALI	0 %	25 seconds
270	azan ali shah	0 %	27 seconds
271	Mahamfaryad	0 %	54 seconds
272	Alisha noor	0 %	1 minutes 9 seconds
273	Umer	0 %	1 minutes 29 seconds

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Mathematics Diagnostic Tests

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